problem solving subtraction

Problem Solving on Subtraction

Problem solving on subtraction will help us to get the idea on how to solve the basic subtraction statement problems.

1.  Eight birds sat on a wire. Three birds flew away. How many were left?

Total number of birds sat on a wire = 8

Number of birds flew away = 3

Therefore, number of birds left = 8 - 3 = 5

2.  Sam had 7 dollars. He spent 4 dollars. How many dollars is he left with?

Total amount of money Sam had = $7

He spent = $4

Therefore, amount of money left with him = $7 - $4 = $3

3. Five boats were tied up. Four of the boats sailed away. How many were left?

Total number of boats tied up = 5

Number of boats sailed away = 4

Therefore, number of boats were left = 5 - 4 = 1

4. Ron had 10 stamps. His father took 2 stamps. How many stamps does Ron have now?

Total number of stamps Ron had = 10

Number of stamps his father took = 2

Therefore, number of stamps he have now = 10 - 2 = 8

5. Diana had 18 toffees. She gave 5 toffees to her friend. How many toffees left with her?

Total number of toffees Diana had = 18

Number of toffees she gave to her friend = 5

Therefore, number of toffees left = 18 - 5 = 13

More examples on statement problem solving on subtraction:

6. Mr. Daniel had 39 goats in a pasture. When he opened the pasture gate, 13 goats went out. How many goats remained in? 

Total number of goats in a pasture Mr. Daniel had = 39

Number of goats went out = 13

Therefore, number of goats remained in = 39 - 13 = 26

7. Derek’s father is 47 years old. His mother is 35 years old. What is the difference of their ages?

Age of Derek’s father = 47 years

Age of his mother = 35 years

Therefore, difference of their ages = 47 - 35 = 12 years

2nd Grade Math Practice From Problem Solving on Subtraction to HOME PAGE

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Subtraction Worksheets

Welcome to the Subtraction Worksheets page at Math-Drills.com where you will get less of an experience than our other pages! This page includes Subtraction worksheets on topics such as five minute frenzies, one-, two-, three- and multi-digit subtraction and subtracting across zeros.

Subtraction has been around for several years now... well maybe more than a few, so it's probably a good thing for students to learn. People experience subtraction every minute of their lives from banks and the government taking away your money to the cookies in the jar mysteriously disappearing. With a good knowledge of subtraction, you can understand why your bank account reaches zero and do something to prevent it from happening.

Some students do have difficulty with subtraction, so take it easy on them. Help them to learn their addition facts first. Once they know those, they will need a few more strategies to successfully subtract. Teaching with manipulatives like base ten blocks or cereal or insects in the park can help students gain a deeper understanding of subtraction. The subtracting worksheets on this page are meant to support good teaching practices, so only use them for independent learning if students are practising skills they already know.

We use the words, minuend, subtrahend and difference on this page. Please refer to the following, so you know which word means which part of a subtraction question.

Minuend - Subtrahend = Difference

Most Popular Subtraction Worksheets this Week

Subtraction Facts Tables

Five minute subtraction frenzies are timed practice charts that help students develop subtraction fact recall speed. These charts are similar to the addition and multiplication frenzy charts, but due to the nature of how subtraction works, we could not focus solely on the single digit fact families. For example, you might get questions like 18 - 4 = 14. You also have to be aware that you must subtract the row number from the column number to get a positive number (or zero). Other than that, they should be a nice way to practice some mental subtraction. As with most of these pages, please only use them as a timed activity with students who will experience success. If a student does not have the necessary skills to complete a frenzy in under five minutes, you may need to take a different approach to how you deliver this page. For all others, students should be able to complete this page in under five minutes with a 98% or greater accuracy and improve their time as they get more practice.

• Five Minute Subtraction Frenzies Five Minute Subtraction Frenzy (Minuends 9 to 18; Subtrahends 0 to 9) Five Minute Subtraction Frenzy (Minuends 29 to 38; Subtrahends 10 to 19) Five Minute Subtraction Frenzy (Minuends 41 to 50; Subtrahends 16 to 25)

Most of the subtraction tables in this section are meant to be used as a reference for students learning their subtraction facts. After a while, most students will remember the facts and recall them easily when completing math problems.

• Subtraction Facts Tables 0 to 11 Subtraction Facts 0 to 11 in Grey Subtraction Facts 0 to 11 in Color Subtraction Facts 0 to 11 with Facts Highlighted Subtraction Facts 0 to 11 in Montessori Colors Subtraction Facts 0 to 11 in Montessori Colors with Facts Highlighted
• Subtraction Facts Tables 1 to 12 Subtraction Facts Tables in Gray 1 to 12 Subtraction Facts Tables in Color 1 to 12 Subtraction Facts Tables in Montessori Colors 1 to 12 Subtraction Facts 1 to 12 with Facts Highlighted Subtraction Facts 1 to 12 in Montessori Colors with Facts Highlighted
• Compact Subtraction Facts Tables Compact Subtraction Table (Filled) Compact Subtraction Table (Blank)

Single-Digit Subtraction Facts

Subtracting single-digit facts is a skill that students generally learn after or while they are learning single-digit addition facts. The subtraction worksheets in this section are meant to be used for practice, testing or with teacher guidance. They will not teach students how to subtract or what the connection is between addition and subtraction; for that, students require a teacher or parent.

Some students might find it easier to start with subtraction facts with minuends (the first number) limited to 9 or lower. This way, they don't need to count across 10 eliminating that extra pesky digit... for now.

• Subtracting Single-Digit from Single-Digit Numbers 100 Subtraction Questions with Minuends up to 9 64 Subtraction Questions with Minuends up to 9 25 Subtraction Questions with Minuends up to 9

In relation to addition facts, the following worksheets cover the facts from 0 to 9, and the worksheets after that cover the addition facts from 1 to 9. The minuends are the amounts to be subtracted from, so a minuend of 18 means that both the subtrahend (the amount being subtracted) and the difference will be 9. The worksheets marked with an asterisk (*) include all possible questions in a random order on each version of the worksheet.

• Subtraction Facts from (0 − 0) to (18 − 9) Subtraction Facts from (0 − 0) to (18 − 9) (100* Questions) ✎ Subtraction Facts from (0 − 0) to (18 − 9) (81 Questions) ✎ Subtraction Facts from (0 − 0) to (18 − 9) (64 Questions) ✎ Subtraction Facts from (0 − 0) to (18 − 9) (50 Questions) ✎ Subtraction Facts from (0 − 0) to (18 − 9) (25 Large Print Questions) ✎ Subtraction Facts from (0 − 0) to (18 − 9) (12 Very Large Print Questions) ✎
• Subtraction Facts from (2 − 1) to (18 − 9) (No Zeros) Subtraction Facts from (2 − 1) to (18 − 9) (100 Questions) ✎ Subtraction Facts from (2 − 1) to (18 − 9) (81* Questions) ✎ Subtraction Facts from (2 − 1) to (18 − 9) (64 Questions) ✎ Subtraction Facts from (2 − 1) to (18 − 9) (50 Questions) ✎ Subtraction Facts from (2 − 1) to (18 − 9) (25 Large Print Questions) ✎ Subtraction Facts from (2 − 1) to (18 − 9) (12 Very Large Print Questions) ✎
• Subtraction Facts with Minuends from 10 to 18 100 Subtraction Questions with Minuends from 10 to 18 and All Regrouping (100 Questions) 64 Subtraction Questions with Minuends from 10 to 18 and All Regrouping (64 Questions) 25 Subtraction Questions with Minuends from 10 to 18 and All Regrouping (25 Large Print Questions)

Sometimes students just need to reinforce a single number at a time which is where these worksheets come in. There are three sets of worksheets in this section, each with a different number of questions. The last set is the most interesting as there are no questions repeated. Eleven and Twelve have been included as they are essentially subtracting by 10 and 1 or 2 more.

• Subtracting Individual Focus or Target Facts (50 Questions per Page) Subtracting 0 (50 Questions) ✎ Subtracting 1 (50 Questions) ✎ Subtracting 2 (50 Questions) ✎ Subtracting 3 (50 Questions) ✎ Subtracting 4 (50 Questions) ✎ Subtracting 5 (50 Questions) ✎ Subtracting 6 (50 Questions) ✎ Subtracting 7 (50 Questions) ✎ Subtracting 8 (50 Questions) ✎ Subtracting 9 (50 Questions) ✎ Subtracting 10 (50 Questions) ✎ Subtracting 11 (50 Questions) ✎ Subtracting 12 (50 Questions) ✎
• Subtracting Individual Focus or Target Facts (25 Questions per Page) Subtracting Zero (0) (25 Large Print Questions) ✎ Subtracting One (1) (25 Large Print Questions) ✎ Subtracting Two (2) (25 Large Print Questions) ✎ Subtracting Three (3) (25 Large Print Questions) ✎ Subtracting Four (4) (25 Large Print Questions) ✎ Subtracting Five (5) (25 Large Print Questions) ✎ Subtracting Six (6) (25 Large Print Questions) ✎ Subtracting Seven (7) (25 Large Print Questions) ✎ Subtracting Eight (8) (25 Large Print Questions) ✎ Subtracting Nine (9) (25 Large Print Questions) ✎
• Subtracting Individual Focus or Target Facts with Differences of 0 to 99 (100 Unique Questions per Page) Subtracting One (1) with Differences 0 to 99 (100 Unique Questions) ✎ Subtracting Two (2) with Differences 0 to 99 (100 Unique Questions) ✎ Subtracting Three (3) with Differences 0 to 99 (100 Unique Questions) ✎ Subtracting Four (4) with Differences 0 to 99 (100 Unique Questions) ✎ Subtracting Five (5) with Differences 0 to 99 (100 Unique Questions) ✎ Subtracting Six (6) with Differences 0 to 99 (100 Unique Questions) ✎ Subtracting Seven (7) with Differences 0 to 99 (100 Unique Questions) ✎ Subtracting Eight (8) with Differences 0 to 99 (100 Unique Questions) ✎ Subtracting Nine (9) with Differences 0 to 99 (100 Unique Questions) ✎ Subtracting Ten (10) with Differences 0 to 99 (100 Unique Questions) ✎ Subtracting Eleven (11) with Differences 0 to 99 (100 Unique Questions) ✎ Subtracting Twelve (12) with Differences 0 to 99 (100 Unique Questions) ✎
• Horizontally Arranged Subtraction Facts with Minuends to 18 Horizontal Subtraction Facts with Minuends to 18 (100 Questions) ✎ Horizontal Subtraction Facts with Minuends to 18 (50 Questions) ✎ Horizontal Subtraction Facts with Minuends to 18 (25 Questions; Large Print) ✎
• Horizontally Arranged Subtracting 1 to 5 from 1 to 10 Horizontal Subtracting 1 to 5 from 1 to 10 (100 Questions) ✎ Horizontal Subtracting 1 to 5 from 1 to 10 (50 Questions) ✎ Horizontal Subtracting 1 to 5 from 1 to 10 (25 Questions; Large Print) ✎
• Horizontally Arranged Subtracting 1s and 2s from Single-Digit Minuends Horizontal Subtracting Ones from Single-Digit Minuends (25 per page) ✎ Horizontal Subtracting Twos from Single-Digit Minuends (25 per page) ✎
• Horizontally Arranged Subtracting Individual Focus Facts Horizontal Subtracting 0s (100 per page) ✎ Horizontal Subtracting 1s (100 per page) ✎ Horizontal Subtracting 2s (100 per page) ✎ Horizontal Subtracting 3s (100 per page) ✎ Horizontal Subtracting 4s (100 per page) ✎ Horizontal Subtracting 5s (100 per page) ✎ Horizontal Subtracting 6s (100 per page) ✎ Horizontal Subtracting 7s (100 per page) ✎ Horizontal Subtracting 8s (100 per page) ✎ Horizontal Subtracting 9s (100 per page) ✎
• Horizontally Arranged Subtracting Pairs of Individual Focus Facts Horizontal Subtracting 0s and 1s (100 per page) ✎ Horizontal Subtracting 2s and 3s (100 per page) ✎ Horizontal Subtracting 4s and 5s (100 per page) ✎ Horizontal Subtracting 6s and 7s (100 per page) ✎ Horizontal Subtracting 8s and 9s (100 per page) ✎
• Subtracting a Number from Itself Subtracting a Number from Itself (Range 1 to 20)

The make ten subtraction strategy involves "spliting" the subtrahend (amount being subtracted) into two parts. The first part should be the exact amount that will reduce the minuend (the first number) to ten (or multiple of ten as the case may be) and the second part is the leftover amount. The strategy helps students internalize a mental strategy for subtracting across tens. For example, with the question 15 - 9, students first recognize that they need to subtract 5 to get 10, so they split the 9 into 5 and 4. Subtracting 5 from 15 results in 10 and subtracting 4 more results in 6, so 15 - 9 = 6. This strategy can be used any time students need to subtract "over" a multiple of ten and there are many worksheets in this section to practice it. For example, subtracting 84 - 8, students recognize that they must subtract 4 from 84 to get 80 which leaves 4 more to subtract from 80 to get 76.

• Make Ten Strategy Worksheets with 10 and Multiples of 10 Make 10 Subtraction Strategy Make 20 Subtraction Strategy Make 30 Subtraction Strategy Make 40 Subtraction Strategy Make 50 Subtraction Strategy Make 60 Subtraction Strategy Make 70 Subtraction Strategy Make 80 Subtraction Strategy Make 90 Subtraction Strategy Make Multiples of 10 Subtraction Strategy

Long Subtraction Worksheets

Try teaching a mental math strategy for subtraction called counting up. Here is how it is done:

Start with the second number (the subtrahend) and count up by tens until you find the closest value to the first number (the minuend). Keep track of how many tens you counted. Add or subtract a single digit number to get the minuend exactly then adjust the tens by that amount. For the question, 84 - 35, start at 35, and count, 45, 55, 65, 75, 85 (five tens) and one down to get 84. Five tens minus one is 49. For the question 65 - 22, start at 22 and count, 32, 42, 52, 62 (four tens) and three up to get 65. Four tens and three is 43. The previous examples used two-digit numbers, but the strategy can swiftly be modified for larger numbers. How far can your students go with it? Here is an example with three-digit numbers:

Let's use the question 927 - 648. First, count up by hundreds to 948 (that's 300). Then count down by tens to 928 (that's -20). Finally count down by ones to 927 (that's one). 300 - 20 - 1 = 279. That's almost easier than adding!

The multi-digit or long subtraction worksheets in the first part of this section are classic long subtraction worksheets with randomly generated numbers. Regrouping should be necessary about half of the time. Versions with ALL regrouping and NO regrouping follow. If you would like to see numbers with thousands separators, look a little further down and choose the appropriate version for your location.

• Subtracting up to 3-Digit Numbers with Some Regrouping Subtracting 2-Digit from 2-Digit Numbers with Some Regrouping ✎ Subtracting 2-Digit from 3-Digit Numbers with Some Regrouping ✎ Subtracting 3-Digit from 3-Digit Numbers with Some Regrouping ✎ 3-Digit Expanded Form Subtraction Subtracting 3-Digit from 4-Digit Numbers with Some Regrouping ✎
• Subtracting up to 3-Digit Numbers with Some Regrouping (Large Print) Subtracting 1-Digit from 2-Digit Numbers with Some Regrouping ( Large Print ) ✎ Subtracting 2-Digit from 2-Digit Numbers with Some Regrouping ( Large Print ) ✎ Subtracting 1-Digit from 3-Digit Numbers with Some Regrouping ( Large Print ) ✎ Subtracting 2-Digit from 3-Digit Numbers with Some Regrouping ( Large Print ) ✎ Subtracting 3-Digit from 3-Digit Numbers with Some Regrouping ( Large Print ) ✎ Subtracting 1- to 3-Digit from 1- to 3-Digit Numbers with Some Regrouping ( Large Print ) ✎ Subtracting 3-Digit from 4-Digit Numbers with Some Regrouping ( Large Print ) ✎
• Subtracting 4- to 9-Digit Numbers with Some Regrouping Subtracting 4-Digit from 4-Digit Numbers with Some Regrouping ✎ Subtracting 4-Digit from 5-Digit Numbers with Some Regrouping ✎ Subtracting 5-Digit from 5-Digit Numbers with Some Regrouping ✎ Subtracting 5-Digit from 6-Digit Numbers with Some Regrouping ✎ Subtracting 6-Digit from 6-Digit Numbers with Some Regrouping ✎ Subtracting 6-Digit from 7-Digit Numbers with Some Regrouping ✎ Subtracting 7-Digit from 7-Digit Numbers with Some Regrouping ✎ Subtracting 7-Digit from 8-Digit Numbers with Some Regrouping ✎ Subtracting 8-Digit from 8-Digit Numbers with Some Regrouping ✎ Subtracting 8-Digit from 9-Digit Numbers with Some Regrouping ✎ Subtracting 9-Digit from 9-Digit Numbers with Some Regrouping ✎
• Subtracting 4- to 6-Digit Numbers with Some Regrouping (Large Print) Subtracting 4-Digit from 4-Digit Numbers with Some Regrouping ( Large Print ) ✎ Subtracting 4-Digit from 5-Digit Numbers with Some Regrouping ( Large Print ) ✎ Subtracting 5-Digit from 5-Digit Numbers with Some Regrouping ( Large Print ) ✎ Subtracting 5-Digit from 6-Digit Numbers with Some Regrouping ( Large Print ) ✎ Subtracting 6-Digit from 6-Digit Numbers with Some Regrouping ( Large Print ) ✎

For students who need a little extra help with lining things up, these long subtraction worksheets have the digits spaced farther apart on a grid. The answer keys also show the carrying values to help diagnose where things went wrong (but hopefully they won't).

• Long Subtraction Worksheets with Grid Support 2-Digit Minus 2-Digit Subtraction With Grid Support 3-Digit Minus 2-Digit Subtraction With Grid Support 3-Digit Minus 3-Digit Subtraction With Grid Support 4-Digit Minus 3-Digit Subtraction With Grid Support 4-Digit Minus 4-Digit Subtraction With Grid Support 5-Digit Minus 4-Digit Subtraction With Grid Support 5-Digit Minus 5-Digit Subtraction With Grid Support 6-Digit Minus 5-Digit Subtraction With Grid Support 6-Digit Minus 6-Digit Subtraction With Grid Support 2- to 4-Digit Minus 2- to 4-Digit Subtraction With Grid Support 3- to 6-Digit Minus 3- to 6-Digit Subtraction With Grid Support

The next long subtraction worksheets include questions that require regrouping at every step. They can be frustrating and difficult for students who are not familiar with the concept of subtraction. Try showing them with base ten blocks how regrouping works.

• Subtracting up to 3-Digit Numbers with All Regrouping Subtracting 1-Digit Numbers with ALL Regrouping ✎ Subtracting 2-Digit Numbers with ALL Regrouping ✎ Subtracting 3-Digit Numbers with ALL Regrouping ✎
• Subtracting up to 3-Digit Numbers with All Regrouping (Large Print) Subtracting 1-Digit Numbers with ALL Regrouping ( Large Print ) ✎ Subtracting 2-Digit Numbers with ALL Regrouping ( Large Print ) ✎ Subtracting 3-Digit Numbers with ALL Regrouping ( Large Print ) ✎
• Subtracting 4- to 8-Digit Numbers with All Regrouping Subtracting 4-Digit Numbers with ALL Regrouping ✎ Subtracting 5-Digit Numbers with ALL Regrouping ✎ Subtracting 6-Digit Numbers with ALL Regrouping ✎ Subtracting 7-Digit Numbers with ALL Regrouping ✎ Subtracting 8-Digit Numbers with ALL Regrouping ✎
• Subtracting 4- to 6-Digit Numbers with All Regrouping (Large Print) Subtracting 4-Digit Numbers with ALL Regrouping ( Large Print ) ✎ Subtracting 5-Digit Numbers with ALL Regrouping ( Large Print ) ✎ Subtracting 6-Digit Numbers with ALL Regrouping ( Large Print ) ✎

Some students require a little extra help when learning to subtract large numbers. These subtraction worksheets include questions where the regrouping step has been eliminated. This might help students learn a subtraction algorithm before learning about regrouping.

• Subtracting up to 3-Digit Numbers with No Regrouping Subtracting 2-Digit from 2-Digit Numbers with NO Regrouping ✎ Subtracting 2-Digit from 3-Digit Numbers with NO Regrouping ✎ Subtracting 3-Digit from 3-Digit Numbers with NO Regrouping ✎ Subtracting 2-Digit from 4-Digit Numbers with NO Regrouping ✎ Subtracting 3-Digit from 4-Digit Numbers with NO Regrouping ✎
• Subtracting up to 3-Digit Numbers with No Regrouping (Large Print) Subtracting 2-Digit from 2-Digit Numbers with NO Regrouping ( Large Print ) ✎ Subtracting 2-Digit from 3-Digit Numbers with NO Regrouping ( Large Print ) ✎ Subtracting 3-Digit from 3-Digit Numbers with NO Regrouping ( Large Print ) ✎ Subtracting 2-Digit from 4-Digit Numbers with NO Regrouping ( Large Print ) ✎ Subtracting 3-Digit from 4-Digit Numbers with NO Regrouping ( Large Print ) ✎
• Subtracting 4- to 9-Digit Numbers with No Regrouping Subtracting 4-Digit from 4-Digit Numbers with NO Regrouping ✎ Subtracting 5-Digit from 5-Digit Numbers with NO Regrouping ✎ Subtracting 6-Digit from 6-Digit Numbers with NO Regrouping ✎ Subtracting 7-Digit from 7-Digit Numbers with NO Regrouping ✎ Subtracting 8-Digit from 8-Digit Numbers with NO Regrouping ✎ Subtracting 9-Digit from 9-Digit Numbers with NO Regrouping ✎
• Subtracting 4- to 6-Digit Numbers with No Regrouping (Large Print) Subtracting 4-Digit from 4-Digit Numbers with NO Regrouping ( Large Print ) ✎ Subtracting 5-Digit from 5-Digit Numbers with NO Regrouping ( Large Print ) ✎ Subtracting 6-Digit from 6-Digit Numbers with NO Regrouping ( Large Print ) ✎

Why horizontal subtraction worksheets? Students can show their understanding of place value and number sense if they do not already have the numbers lined up. Vertical subtraction is often learned based on a student's understanding of single-digit subtraction, but looking at the whole number is lost in the algorithm.

• Horizontally Arranged 2-Digit Minus 1-Digit Questions 2-digit Minus 1-Digit Horizontal Subtraction (100 Questions) ✎ 2-digit Minus 1-Digit Horizontal Subtraction (50 Questions) ✎ 2-digit Minus 1-Digit Horizontal Subtraction (25 Questions; Large Print) ✎
• Horizontally Arranged 2-Digit Minus 2-Digit Questions 2-digit Minus 2-Digit Horizontal Subtraction (100 Questions) ✎ 2-digit Minus 2-Digit Horizontal Subtraction (50 Questions) ✎ 2-digit Minus 2-Digit Horizontal Subtraction (25 Questions; Large Print) ✎
• Horizontally Arranged 3-Digit Minus 1-Digit Questions 3-digit Minus 1-Digit Horizontal Subtraction (100 Questions) ✎ 3-digit Minus 1-Digit Horizontal Subtraction (50 Questions) ✎ 3-digit Minus 1-Digit Horizontal Subtraction (25 Questions; Large Print) ✎
• Horizontally Arranged 3-Digit Minus 2-Digit Questions 3-digit Minus 2-Digit Horizontal Subtraction (50 Questions) ✎ 3-digit Minus 2-Digit Horizontal Subtraction (25 Questions; Large Print) ✎ 3-Digit Minus 2-Digit Horizontal Subtraction ( All Regrouping ; 100 Questions)
• Horizontally Arranged 3-Digit Minus 3-Digit Questions 3-Digit Minus 3-Digit Horizontal Subtraction (50 Questions) ✎ 3-Digit Minus 3-Digit Horizontal Subtraction (25 Questions; Large Print) ✎
• Horizontally Arranged Various-Digit Minus Various-Digit Questions Various-Digit Minus Various-Digit Horizontal Subtraction (50 Questions) ✎ Various-Digit Minus Various-Digit Horizontal Subtraction (25 Questions; Large Print) ✎

Many students in English-speaking countries are used to seeing numbers with comma-separated thousands.

• Long Subtraction Worksheets with Comma Separated Thousands Subtracting 2-Digit from 4-Digit Numbers (Comma Separated) ✎ Subtracting 3-Digit from 4-Digit Numbers (Comma Separated) ✎ Subtracting 4-Digit from 4-Digit Numbers (Comma Separated) ✎ Subtracting 2-Digit from 5-Digit Numbers (Comma Separated) ✎ Subtracting 3-Digit from 5-Digit Numbers (Comma Separated) ✎ Subtracting 4-Digit from 5-Digit Numbers (Comma Separated) ✎ Subtracting 5-Digit from 5-Digit Numbers (Comma Separated) ✎ Mixture of Multi-Digit Subtraction from 2 to 4 digits (Comma Separated) ✎ Mixture of Multi-Digit Subtraction from 2 to 5 digits (Comma Separated) ✎
• Long Subtraction Worksheets with Comma Separated Thousands and All Regrouping Subtracting 4-Digit Numbers with ALL Regrouping (Comma Separated) ✎ Subtracting 5-Digit Numbers with ALL Regrouping (Comma Separated) ✎ Subtracting 6-Digit Numbers with ALL Regrouping (Comma Separated) ✎ Subtracting 7-Digit Numbers with ALL Regrouping (Comma Separated) ✎ Subtracting 8-Digit Numbers with ALL Regrouping (Comma Separated) ✎
• Long Subtraction Worksheets with Comma Separated Thousands and No Regrouping Subtracting 5-Digit from 5-Digit Numbers with NO Regrouping (Comma Separated) ✎ Subtracting 6-Digit from 6-Digit Numbers with NO Regrouping (Comma Separated) ✎ Subtracting 7-Digit from 7-Digit Numbers with NO Regrouping (Comma Separated) ✎ Subtracting 8-Digit from 8-Digit Numbers with NO Regrouping (Comma Separated) ✎ Subtracting 9-Digit from 9-Digit Numbers with NO Regrouping (Comma Separated) ✎

Space-separated thousands are becoming more widely used, including in the United States. Canadian students have used both comma separated and space separated thousands for many years.

• Long Subtraction Worksheets with Space Separated Thousands Subtracting 2-Digit from 4-Digit Numbers (Space Separated) ✎ Subtracting 3-Digit from 4-Digit Numbers (Space Separated) ✎ Subtracting 4-Digit from 4-Digit Numbers (Space Separated) ✎ Subtracting 2-Digit from 5-Digit Numbers (Space Separated) ✎ Subtracting 3-Digit from 5-Digit Numbers (Space Separated) ✎ Subtracting 4-Digit from 5-Digit Numbers (Space Separated) ✎ Subtracting 5-Digit from 5-Digit Numbers (Space Separated) ✎ Mixture of Multi-Digit Subtraction from 2 to 4 digits (Space Separated) ✎ Mixture of Multi-Digit Subtraction from 2 to 5 digits (Space Separated) ✎
• Long Subtraction Worksheets with Space Separated Thousands and All Regrouping Subtracting 4-Digit Numbers with ALL Regrouping (Space Separated) ✎ Subtracting 5-Digit Numbers with ALL Regrouping (Space Separated) ✎ Subtracting 6-Digit Numbers with ALL Regrouping (Space Separated) ✎ Subtracting 7-Digit Numbers with ALL Regrouping (Space Separated) ✎ Subtracting 8-Digit Numbers with ALL Regrouping (Space Separated) ✎
• Long Subtraction Worksheets with Space Separated Thousands and No Regrouping Subtracting 5-Digit from 5-Digit Numbers with NO Regrouping (Space Separated) ✎ Subtracting 6-Digit from 6-Digit Numbers with NO Regrouping (Space Separated) ✎ Subtracting 7-Digit from 7-Digit Numbers with NO Regrouping (Space Separated) ✎ Subtracting 8-Digit from 8-Digit Numbers with NO Regrouping (Space Separated) ✎ Subtracting 9-Digit from 9-Digit Numbers with NO Regrouping (Space Separated) ✎

Even though period separated thousands are not common in the English-speaking world, we provide these for our friends in other countries who may find them useful.

• Long Subtraction Worksheets with Period Separated Thousands Subtracting 2-Digit from 4-Digit Numbers (Period Separated) ✎ Subtracting 3-Digit from 4-Digit Numbers (Period Separated) ✎ Subtracting 4-Digit from 4-Digit Numbers (Period Separated) ✎ Subtracting 2-Digit from 5-Digit Numbers (Period Separated) ✎ Subtracting 3-Digit from 5-Digit Numbers (Period Separated) ✎ Subtracting 4-Digit from 5-Digit Numbers (Period Separated) ✎ Subtracting 5-Digit from 5-Digit Numbers (Period Separated) ✎ Mixture of Multi-Digit Subtraction from 2 to 4 digits (Period Separated) ✎ Mixture of Multi-Digit Subtraction from 2 to 5 digits (Period Separated) ✎
• Long Subtraction Worksheets with Period Separated Thousands and All Regrouping Subtracting 4-Digit Numbers with ALL Regrouping (Period Separated) ✎ Subtracting 5-Digit Numbers with ALL Regrouping (Period Separated) ✎ Subtracting 6-Digit Numbers with ALL Regrouping (Period Separated) ✎ Subtracting 7-Digit Numbers with ALL Regrouping (Period Separated) ✎ Subtracting 8-Digit Numbers with ALL Regrouping (Period Separated) ✎
• Long Subtraction Worksheets with Period Separated Thousands and No Regrouping Subtracting 5-Digit from 5-Digit Numbers with NO Regrouping (Period Separated) ✎ Subtracting 6-Digit from 6-Digit Numbers with NO Regrouping (Period Separated) ✎ Subtracting 7-Digit from 7-Digit Numbers with NO Regrouping (Period Separated) ✎ Subtracting 8-Digit from 8-Digit Numbers with NO Regrouping (Period Separated) ✎ Subtracting 9-Digit from 9-Digit Numbers with NO Regrouping (Period Separated) ✎

Various Other Long Subtraction Worksheets

Generally, a student would not regroup to determine the complements of 10, 100, 1000, etc. One strategy that could be used is as follows: working from left to right, a student would take each digit in the subtrahend and figure out its nines complement. If the digit was 3, for example, the nines complement of 3 is 6. For the last digit (ones), the student would use the tens complement. For example, a typical question is 1000 - 456. The nines complement of 4 is 5, the nines complement of 5 is 4 and the tens complement of 6 is 4. Putting it all together, the student would get 5 4 4 or 544 = 1000 - 456.

• Calculating Complements of Powers of Ten (Subtracting Across Zeros) Complements of 10 Complements of 100 Complements of 1000 Complements of 10000 Complements of 100 and 1000 Complements of 1000 and 10000 Complements of 100, 1000 and 10000

A similar strategy is employed with the next worksheets except students must adapt to calculating the largest place value number.

• Calculating Complements of Multiples of Powers of Ten (Subtracting Across Zeros) Subtracting from multiples of 10 Subtracting from multiples of 100 Subtracting from multiples of 1000 Subtracting from multiples of 10000 Subtracting from a mixture of multiples of 100 and 1000 Subtracting from a mixture of multiples of 1000 and 10000 Subtracting from a mixture of multiples of 100, 1000 and 10000

These worksheets are meant to give students practice dealing with 0's in the middles of subtraction questions. Whether using pencil and paper or mental arithmetic, it is always a good idea to make sure students know what to do when they encounter zeros.

• Subtracting Across Zeros in the Middle (Ones Always Need Regrouping) 3-Digit Subtraction across zeros in the middle ( Ones always need regrouping ) 4-Digit Subtraction across zeros in the middle ( Ones always need regrouping ) 5-Digit Subtraction across zeros in the middle ( Ones always need regrouping )
• Subtracting Across Zeros in the Middle (Ones Sometimes Need Regrouping) 3-Digit Subtraction across zeros in the middle ( Ones sometimes need regrouping ) 4-Digit Subtraction across zeros in the middle ( Ones sometimes need regrouping ) 5-Digit Subtraction across zeros in the middle ( Ones sometimes need regrouping )

Subtracting numbers in number systems other than decimal numbers including binary, quaternary, octal, duodecimal and hexadecimal numbers.

• Subtracting in Other Base Number Systems Subtracting Binary Numbers (Base 2) Subtracting Ternary Numbers (Base 3) Subtracting Quaternary Numbers (Base 4) Subtracting Quinary Numbers (Base 5) Subtracting Senary Numbers (Base 6) Subtracting Octal Numbers (Base 8) Subtracting Duodecimal Numbers (Base 12) Subtracting Hexadecimal Numbers (Base 16) Subtracting Vigesimal Numbers (Base 20) Subtracting Hexatrigesimal Numbers (Base 36) Subtracting Various Numbers (Various Bases)

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Subtraction Word Problem Worksheets

The extensive set of subtraction word problems featured here will require the learner to find the difference between minuends and subtrahends, which includes problems with regrouping and without regrouping. This large collection of printable word problem worksheets, ideal for children in kindergarten through grade 4 features scenarios that involve single-digit subtraction, two-digit subtraction, three-digit subtraction, and subtraction of large numbers up to six digits. Give yourself a head-start with our free subtraction worksheets!

Word Problems for Beginners: 0 to 10

Find the difference between the numbers that ranges from 0 to 10 in the set of kindergarten worksheets featured here. Use the answer key to verify your responses.

• Download the set

Subtraction within 20

Ascend from a beginner to a proficient in performing subtraction up to 20 as you explore this bunch of well-researched word problems and work out the difference within 20.

Two-digit Subtraction: No Regrouping (No Borrowing)

The series of worksheets for grade 1 and grade 2 presented here involve two-digit subtraction word problems that do not require regrouping. Find the differences between the two-digit subtrahends and minuends featured here.

Two-digit Subtraction: Regrouping (Borrowing)

The two-digit subtraction word problems presented in the 2nd grade worksheets here require regrouping (borrowing). Determine the difference between the two-digit numbers by following the place value columns correctly.

Theme based Subtraction Problems

The colorful theme-based worksheet pdfs for kids in 1st grade through 3rd grade are based on three engaging real-life themes - Beach, Italian Ice and Birthday Party.

Three-digit and Two-digit Subtraction

The set of subtraction word problem pdfs featured here will require grade 3 student to find the difference between three-digit minuends and two-digit subtrahends. Use the answer keys to verify your responses.

Three-digit Subtraction Word Problems

Each printable worksheet contains five word problems finding difference between three-digit numbers. Some problems may require regrouping.

Four-digit Subtraction Word Problems

This section contains subtraction word problems on finding the difference between four-digit numbers. Both borrowing and no borrowing problems are included. Some problems may involve subtraction across zero.

Advanced: Large Number Subtraction

The word problems featured in the 4th grade pdf worksheets here include large numbers with minuends and subtrahends up to six digits. Determine the difference between the large numbers by following the place value columns correctly.

Related Worksheets

» Addition Word Problems

» Subtraction within 10

» 2-Digit Subtraction

» Word Problems

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Subtraction

Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.

What Is Subtraction?

Subtraction is an operation used to find the difference between numbers . When you have a group of objects and you take away a few objects from it, the group becomes smaller. For example, you bought 9 cupcakes for your birthday party and your friends ate 7 cupcakes. Now you are left with 2 cupcakes. This can be written in the form of a subtraction expression: 9 - 7 = 2 and is read as "nine minus seven equals two". When we subtract 7 from 9, (9 - 7) we get 2. Here, we performed the subtraction operation on two numbers 9 and 7 to get the difference of 2.

Subtraction Symbol

In mathematics, we have different symbols. The subtraction symbol is one of the important math symbols that we use while performing subtraction. In the above section, we read about subtracting two numbers 9 and 7. If we observe this subtraction: (9 - 7 = 2), the symbol (-) connects the two numbers and completes the given expression. This symbol is also known as the minus sign.

Subtraction Formula

When we subtract two numbers, we use some terms which are used in the subtraction expression:

• Minuend: The number from which the other number is subtracted.
• Subtrahend: The number which is to be subtracted from the minuend.
• Difference: The final result after subtracting the subtrahend from the minuend.

The subtraction formula is written as: Minuend - Subtrahend = Difference

Let us understand the subtraction formula or the mathematical equation of subtraction with an example.

Here, 9 is the minuend, 7 is the subtrahend, and 2 is the difference.

How To Solve Subtraction Problems?

While solving subtraction problems, one-digit numbers can be subtracted in a simple way, but for larger numbers, we split the numbers into columns using their respective place values , like Ones, Tens, Hundreds, Thousands, and so on. While solving such problems we may encounter some cases with borrowing and some without borrowing. Subtraction with borrowing is also known as subtraction with regrouping. When the minuend is smaller than the subtrahend, we use the regrouping method. While regrouping, we borrow 1 number from the preceding column to make the minuend bigger than the subtrahend. Let us understand this with the help of a few examples.

Subtraction Without Regrouping

Example: Subtract 25632 from 48756.

Note: In subtraction, we always subtract the smaller number from the larger number to get the correct answer.

Solution: Follow the given steps and try to relate them with the following figure.

Step 1: Start with the digit at ones place. (6 - 2 = 4) Step 2: Move to the tens place. (5 - 3 = 2) Step 3: Now subtract the digits at hundreds place. (7 - 6 = 1) Step 4: Now subtract the digits at thousands place. (8 - 5 = 3) Step 5: Finally, subtract the digits at ten thousands place. (4 - 2 = 2) Step 6: Therefore, the difference between the two given numbers is: 48756 - 25632 = 23124.

Subtraction With Regrouping

Example: Subtract 3678 from 8162.

Solution: Follow the given steps and try to relate them with the following figure. We need to solve: 8162 - 3678 Step 1: Start subtracting the digits at ones place. We can see that 8 is greater than 2. So, we will borrow 1 from the tens column which will make it 12. Now, 12 - 8 = 4 ones. Step 2: After giving 1 to the ones column in the previous step, 6 becomes 5. Now, let us subtract the digits at the tens place (5 - 7). Here, 7 is greater than 5, so we will borrow 1 from the hundreds column. This will make it 15. So,15 - 7 = 8 tens. Step 3: In step 2 we had given 1 to the tens column, so we are left with 0 at the hundreds place. To subtract the digits on the hundreds place, i.e., (0 - 6) we will borrow 1 from the thousands column. This will make it 10. So, 10 - 6 = 4 hundreds. Step 4: Now, let us subtract the digits at the thousands place. After giving 1 to the hundreds column, we have 7. So, 7 - 3 = 4 Step 5: Therefore, the difference between the two given numbers is: 8162 - 3678 = 4484

Subtraction Using Number Line

A number line is a visual aid that helps us understand subtraction because it allows us to jump backward and forward on each number. To understand how this works, let us explore subtraction using a number line. Let us subtract 4 from 9 using a number line. We will start by marking the number 9 on the number line. When we subtract using a number line, we count by moving one number at a time towards the left-hand side. Since we are subtracting 4 from 9, we will move 4 times to the left. The number on which you land after 4 backward jumps, is the answer. Thus, 9 - 4 = 5.

Real Life Subtraction Word Problems

The concept of subtraction is often used in our day-to-day activities. Let us understand how to solve real-life subtraction word problems with the help of an interesting example.

Example: A soccer match had a total of 4535 spectators. After the first innings, 2332 spectators left the stadium. Find the number of remaining spectators.

Solution: Given: The total number of spectators present in the first innings = 4535; The number of spectators who left the stadium after the first innings = 2332 Here, 4535 is the minuend and 2332 is the subtrahend.

Th H T O 4 5 3 5 -2 3 3 2 2 2 0 3

Therefore, the number of remaining spectators = 2203.

Important Notes on Subtraction:

Here are a few important notes that you can follow while performing subtraction in your everyday life.

• Any subtraction problem can be transformed into an addition problem and vice-versa.
• Subtracting 0 from any number gives the number itself as the difference.
• When 1 is subtracted from any number, the difference equals the predecessor of the number.
• Words like "Minus", "Less", "Difference", "Decrease", "Take Away" and "Deduct" indicate that you need to subtract one number from another.

Topics Related to Subtraction

Check out these interesting articles to know about subtraction and its related topics.

• Binary Subtraction
• Subtraction Calculator
• Addition and Subtraction of Fractions
• Subtraction of Complex Numbers
• Subtraction of Fractions

Subtraction Examples

Example 1: In an International cricket match, Sri Lanka scored 236 runs and India scored 126 runs. How many more runs should India score to be equal to the number of runs scored by Sri Lanka?

Runs scored by Sri Lanka = 236; Runs scored by India = 126 To find the number of runs that India should score more to be equal to the number of runs scored by Sri Lanka, we will subtract 126 from 236.

H T O 2 3 6 - 1 2 6 1 1 0

Therefore, India must score 110 more runs to be equal to Sri Lanka's runs.

Example 2: Jerry collected 189 seashells and Eva collected 54 shells. Who collected more seashells and by how much?

Number of shells collected by Jerry = 189; Number of shells collected by Eva = 54

This shows that Jerry collected more seashells. Let us subtract 189 - 54 to get the difference.

H T O 1 8 9 - 0 5 4 1 3 5

Therefore, Jerry collected 135 seashells more than Eva.

Example 3: During an annual Easter egg hunt, the participants found 2469 eggs in the clubhouse, out of which 54 Easter eggs were broken. Can you find out the number of unbroken eggs?

The number of easter eggs found in the Clubhouse = 2469; Number of easter eggs that were broken = 54; The total number of unbroken eggs=?

Now, we will subtract the number of broken eggs from the total number of eggs.

Th H T O 2 4 6 9 - 5 4 2 4 1 5

Therefore, the number of unbroken eggs are 2415.

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Practice Questions on Subtraction

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FAQs on Subtraction

Where do we use subtraction.

Subtraction is used in our day-to-day life. For example, if we want to know how much money we spent on the items that we bought, or, how much money is left with us, or, if we want to calculate the time left in finishing a task, we use subtraction.

What Are the Types of Subtraction?

The types of subtraction mean the various methods used in subtraction. For example, subtraction with and without regrouping, subtraction using number charts, subtraction using number line, the subtraction of small numbers using you fingers, and so on.

What Are Subtraction Strategies?

Subtraction strategies are different ways in which subtraction can be learned. For example, using a number line, with the help of a Place Value Chart, separating the Tens and Ones and then subtracting them separately, and many others.

Give Some Subtraction Examples.

There can be various real-life examples of subtraction. For example, if you have 5 apples and your friend ate 3 apples. Using subtraction, we can find out the number of remaining apples: 5 - 3 = 2. So, 2 apples are left with you. Similarly, if there are 16 students in a class, out of which 9 are girls, then we can find out the number of boys in the class by subtracting 9 from 16. (16 - 9 = 7). So, we know that there are 7 boys in the class.

What Are the Three Parts of Subtraction?

The 3 parts of subtraction are named as follows:

• Minuend: The number from which we subtract the other number is known as the minuend.
• Subtrahend: The number which is subtracted from the minuend is known as the subtrahend.
• Difference: The final result obtained after performing subtraction is known as the difference.

How Do You Write a Subtraction?

While writing subtraction, the two important symbols are '-' (minus) and '=' (equal to). The minus sign means when one number is being subtracted from the other number. And the equal to sign delivers the final result.

Subtraction Word Problems (1-step word problems)

These lessons look at some examples of subtraction word problems that can be solved in one step, illustrating the use of bar models or block diagrams in the solution process.

Related Pages 2-step Subtraction Word Problems Using Bar Models Solving Word Problems Using Bar Models Singapore Math More Word Problems

We will illustrate how block diagrams can be used to help you to visualize the subtraction word problems in terms of the information given and the data that needs to be found. The block diagrams or block modeling method is used in Singapore Math.

Example: Jessica has 1135 beads. 604 beads are red and the rest are blue. How many blue beads does she have?

1135 – 604 = 531

She has 531 blue beads.

Example: James and Ken donated $2300 to a charitable organization. Ken donated $658. How much did James donate?

2300 – 658 = 1642 James donated $1642.

Example: The price of a car is $2795 and the price of a motorbike is $1063. What is the difference between the prices of the 2 vehicles?

Solution: 2795 – 1063 = 1732

The difference between the prices of the 2 vehicles is $1732.

Example: There are 967 chairs in a hall. During an event, 761 chairs were occupied. How many chairs were not occupied?

967 – 761 = 206 206 chairs were not occupied.

Examples of subtraction word problems

134 girls and 119 boys took part in an art competition. How many more girls than boys were there?

Mei Lin saved $184. She saved $63 more than Betty. How much did Betty saved?

John read 32 pages in the morning. He read 14 pages less in the afternoon. a) How many pages did he read in the afternoon? b) How many pages did they read altogether?

A visual way to solve world problems using bar modeling This type of word problem uses the part-whole model.

Example: Mr. Oliver bought 88 pencils. he sold 26 of them. How many pencils did he have left?

A visual way to solve world problems using bar modeling This type of word problem uses the part-whole model. Because the part is missing, this is a subtraction problem.

Example: There are 98 hats, 20 of them are pink and the rest are yellow. How many yellow hats are there?

Example: Cayla did 88 sit-ups in the morning. Nekira did 32 sit-ups at night. How many more sit-ups did Cayla do than Nekira?

How to use bar modeling in Singapore math to solve word problems that deal with comparing?

Example: Adam has 11 fewer lollipops than Hope. If Adam has 16 lollipops, how many lollipop does Hope have?

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Subtraction

Subtraction is one of the four basic arithmetic operations. (The other basic operations are addition , multiplication , and division .)

It helps us find answers to questions such as the following:

In the context of subtraction problems, a remainder is the number left after something is subtracted or "taken away." It is more or less the same as a "difference," which is addressed later.

In some subtraction problems we need to compare two numbers to find out how much larger or smaller a number is compared to another. The answer is called a difference.

Missing addend

Subtraction is one way to find a missing addend, or how many more of something must be added to have the desired number.

See also difference , missing addend , operation , remainder .

Related words subtract

Subtraction With Regrouping

Solve more complex subtraction problems with regrouping, also known as borrowing or carrying!

Author Taylor Hartley

Expert Reviewer Jill Padfield

Published: August 24, 2023

• Key takeaways
• Subtraction with regrouping is a key building block for learning mathematics – It allows you to solve double and triple digit subtraction problems. 
• It’s important to learn subtraction with regrouping – That way, you can better understand and solve complex word problems. 
• Subtraction with regrouping is also referred to as borrowing or carrying –  It’s a skill you’ll need for higher level math. 

Table of contents

What is subtraction with regrouping?

Important terms to know, how to subtract with regrouping, in 5 easy steps, let’s practice together, practice problems.

Subtraction is one of the most important building blocks for learning more complicated math problems. Subtracting 8 from 10 gives us 2, which is pretty easy to follow, but what happens when we need to solve multi-digit subtraction problems? 

To prepare for more involved subtraction problems, we can use a handy skill called regrouping. Subtraction with regrouping lets you tackle problems where the number you must subtract from is smaller than the number you are subtracting. 

We know that sounds confusing right now, but once we work through a few examples together, you’ll get the hang of it in no time. 

Subtraction with regrouping, also called borrowing or carrying, is used to solve subtraction problems where the equation is written vertically This might look something like: 

See how, in the top number, the 8 in the 1s place is smaller than the 9 in the 1s place in the bottom number? This means we can’t subtract…unless we use regrouping!

Let’s look at some terms that will help us better understand this skill. 

These terms are going to be an important part of understanding regrouping, so pay close attention. We’ll be discussing three different terms: subtrahends, minuends, and differences.  

• Subtrahend – The number we subtract from the minuend. 
• Minuend – The number we’re subtracting another number from. 
• Difference – The end value of subtracting the subtrahend from the minuend. 

These terms will appear in the following format every time you subtract: 

Minuend – Subtrahend = Difference

For example, let’s take a look at this subtraction equation: 14 – 5 = 9

In this instance, the minuend would be 14 , the subtrahend would be 5 , and the difference would be 9 .  

Now, let’s walk through the basic steps of how to use regrouping when we are subtracting. This involves setting up our subtraction equation using the column method. 

After we do that, we will identify which numbers are in which place values, then finish with our borrowing/carrying. Once we’ve borrowed from the tens place and carried to the ones, it’ll make it much easier to subtract. 

Let’s take a look at the following problem:

23 – 8 = 15  

1. Place the numbers you are subtracting vertically

First, we need to set up our equation in vertical form. This will make it easier for us to borrow our numbers and show our work in the process. Just write the 8 write under your 23, but make sure the 8 falls right under the 3 within the ones place. 

It should look like this: 

2. Read the problem and look at the different place values

Now, let’s identify which numbers are in which place values. This will be important for knowing which number to borrow from within the minuend, and where it should be carried. 

You should always be borrowing from the tens place, and carrying to the ones. For our minuend 23, 2 is in the tens place and 3 is in the ones.

3. Since we can’t subtract 8 from 3, borrow 1 from the tens column

Here is the most important step of this process. Now, we just have to borrow one from the tens column and carry it into the ones. We will always only borrow 1 from the tens column, remember that!

So the equation becomes: 

4. Now, do your subtraction, first on the ones side

Now that we’ve taken 1 away from the tens column, we only have 1 left in the tens column. However, we can write that same 1 right next to the three in the ones column, making 13.

5. Then, subtract from the tens side

Now, we’re ready to do our subtraction. Since we turned the three in the ones column into a thirteen in the step before, we can subtract 8 from 13 instead of 8 from 3! 

13 minus 8 equals 5, and the 1 left over in the tens column has no subtrahend, so it stays the same. That means we have a 1 in the tens column and a 5 in the ones column, giving us a difference of 15.

Here’s three practice problems we can work through together to make sure you have the basics down.

1. Write 24 – 5 as a vertical equation 

a. We know that the minuend is 24, and the subtrahend is 5, which means 24 goes on the top of the equation with 5 on the bottom. 

b. We also know that both 4 and 5 are in the ones place, meaning they should be placed in the same column. 

c. Now, we’re ready to write our finished equation:

2. Simon got 35 toy cars for his birthday this year. His brother Charles also loves toy cars, so Simon decides to give Charles 6 cars as a present. How many cars is Simon left with?

a. Let’s start by identifying our minuend and subtrahend. The number we’re subtracting from is 35, and the number being subtracted is 6. 

b. That means we’ll need to set up our column method with 35 on the top, and 6 right below it.

c. We also know that both 5 and 6 are in the ones place, meaning they should be put in the same column. The setup for our vertical equation should look like this: 

d. Now that we have our equation, we can do our regrouping. First, we’ll borrow the one from the tens column of the 35, and carry it into the ones column. 

e. That means we subtract 1 from the 3, leaving a two in the tens column. We write that one next to the 5 in the ones column, giving us a 15. 

f. Now we can subtract 6 from 15 much easier, giving us a difference of 9 in the ones column. And since we aren’t subtracting anything from the 2, we can place that 2 in the tens column, giving us a total difference of 29. 

3. Robert has 21 marbles in his box. His sister Margaret decides to take 3 marbles for herself. How many marbles is Robert left with?

a. Here, we’ll need to set up our vertical equation with 21 on the top, and 3 on the bottom. 21 is the minuend, here, and 3 is the subtrahend. It should look like the following:

b. Since we’ve lined up the 3 and the 1 in the ones place, we’re ready to regroup. We’ll borrow a 1 from the tens place, and carry it into the ones, leaving a one leftover in the tens place, and an 11 in the ones. 

c. Now we can subtract 3 from 11 in the ones column, giving us 8, and drag the 1 in the tens place down to form a difference of 18.

Ready to give it a go?

Now it’s time for you to give a few of these problems a shot on your own. Feel free to consult the explanations, definitions, and practice problems above if you get confused or stumped on a question. And remember, practice makes perfect, so don’t get discouraged. Keep working through these problems and we promise you’ll get the hang of regrouping in no time!

Click to reveal the answer.

The answer is 8 .

The answer is 18 .

The answer is 14 .

Parent Guide

How did we get here? 

• We’ve identified that the minuend is 13, while the subtrahend is 7.
• That means we can set up our vertical equation with the minuend (13) on top, and the subtrahend (7) on the bottom.
• We also know that both 3 and 7 are in the ones place, so they should be in the same column within our equation. This gives us the vertical equation written above.

• First, we need to identify that the 3 and the 5 are in the ones place, so we’ll be subtracting 5 from 3 in this equation. 
• 5 is greater than 3, so we know we’ll need to borrow a one from the tens column so we can actually subtract. 
• So, we borrow a 1 from the tens column and place it next to the 3 in the ones column, making thirteen. Since we’ve technically subtracted 1 from the tens column, the two there becomes a one. 
• Now, we can subtract in the ones column. 13 – 5 = 8. 
• The tens column is left as 1 – 1, which gives us a difference of 0. That means the total difference for this problem is 8. 

• First, we identify the minuend and the subtrahend so that we know which number to place on top, and which number to put on the bottom. 
• Since we’re subtracting 17 cups away from the 45 already in the cabinet, we know that the minuend is 45 and the subtrahend is 17. 
• We also need to identify which numbers are in which places. Both 4 and 1 are in the tens place, and 5 and 7 are in the ones, so these numbers should be in the same respective columns. 
• We’re now ready to write our formula. 

How did we get here?

• Here, we know that the minuend is 32 and the subtrahend is 14, since we are taking away 14 pencils from the total of 32.
• That means we can set up the following vertical equation: 32 -14
• Since the 4 in the ones column is bigger than the 2, we know we’ll need to regroup. Now, we’ll borrow a one from the tens column and carry it to the ones, giving us a 12 to subtract the four from.
• The 3 in the ones column loses the 1 we borrowed, decreasing it to 2.
• Now, we can subtract the 1 from the 2 in the tens column, and the 4 from the 12 in the ones column.
• 2 – 1 = 1, and 12 – 4 = 8. We now write the 1 in the tens and the 8 in the ones, giving us a difference of 18.

• The minuend for this problem is 22, and the subtrahend is 8. That means the 22 goes on top, and the 8 goes underneath it for our vertical equation. 
• Since the 2 and the 8 are both in the ones column, we know we’ll have to borrow from the tens column, since 8 is greater than 2. 
• That means we borrow a one, leaving a 1 leftover in the tens column, and carry it to the ones column, giving us a 12. 
• Now we can solve 12 – 8, giving us 4. We aren’t subtracting anything from the 1 in the minuend since the subtrahend has no value in the tens column. We can simply write the 1 next to our 4 for a solved difference of 14. 

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FAQs about math strategies for kids

We understand that diving into new information can sometimes be overwhelming, and questions often arise. That’s why we’ve meticulously crafted these FAQs, based on real questions from students and parents. We’ve got you covered!

If you know how to do subtraction with regrouping – also known as borrowing or carrying – then you will be able to subtract any number from any other number. 

This will help you as you progress from more basic level mathematics to more complicated mathematics! 

Look at the number in the 10s place as being the number of 10s that exist in the number itself. 

So, let’s say we have the number 24. To make the number 20, you need two 10s, right? That’s why there is a 2 in the 10s place!

Negative numbers do exist! When you’re subtracting a large number from a smaller number, you will get a negative answer. For example, 13 – 17 = -4, right? 

But, when we use subtraction with regrouping, we are almost always subtracting a smaller number from a larger number. For example, in 13 – 4, 13 is still larger than 4. The issue is that, when you stack these numbers vertically, 3 is smaller than 4, so we need to borrow to make it easier to calculate. 

When we borrow from the 10s column, the 3 becomes 13, and 13 – 4 is 9 .

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Subtraction – Definition, Symbol, Examples, Practice Problems

Created: December 19, 2023

Last updated: January 10, 2024

Welcome to Brighterly – your trusted partner for making learning mathematics a delightful and exciting journey! We’re passionate about illuminating the path to knowledge and equipping young minds with the tools they need to succeed. Today, we’re focusing on a core concept in mathematics that plays a vital role in our daily lives – Subtraction. This fundamental operation is more than just a simple act of ‘taking away’; it’s a powerful tool that aids us in understanding and interacting with the world around us.

At Brighterly, we strive to break down complex topics into digestible, understandable pieces, and subtraction is no exception. Through this comprehensive guide, we will explore the definition of subtraction, its symbolic representation, examples, and practice problems. Whether you’re a curious learner, a supportive parent, or an inspiring teacher, this article has something to offer to help you or your child make strides in mathematical understanding. Join us as we dive into the world of subtraction, making learning brighter and more engaging, one step at a time!

What Is Subtraction?

Subtraction is one of the fundamental operations in arithmetic that children learn early in their education. It’s a process we use to find the difference between two numbers, quantities, or objects. For instance, if a basket contains five apples and you remove two, you’re left with three. This operation can be expressed as a subtraction problem: 5 – 2 = 3. The concept of taking away or finding the difference is central to subtraction. It’s not just useful in mathematical computations but also applicable in various real-life situations, such as calculating change in a store, or determining how much of a pizza is left after some slices have been eaten.

What is Subtraction in Math?

In mathematics, subtraction serves as one of the fundamental pillars of basic arithmetic. It’s an operation that helps us calculate the difference between two numbers or quantities. In essence, subtraction represents the process of taking one number away from another. For example, if you have ten chocolates and you eat four, you’re left with six. That situation, expressed mathematically, is 10 – 4 = 6. This operation is so central to our daily lives that we use it frequently, sometimes without even noticing. For instance, it’s used when we calculate how many hours of sleep we can get before the alarm rings, or how much money remains after making a purchase.

Definition of Subtraction

In mathematical terms, subtraction is defined as the operation that tells the amount or quantity that remains when a number or quantity is taken from another. The result of subtraction is called the difference. For instance, in the subtraction problem 8 – 3 = 5, eight is the minuend (the number from which another number is subtracted), three is the subtrahend (the number that is to be subtracted), and five is the difference.

Symbol of Subtraction

The most common symbol of subtraction is the minus sign (-). It’s placed between two numbers to indicate that the second number (subtrahend) is to be subtracted from the first number (minuend). For example, in the expression 7 – 2, the minus sign is the symbol of subtraction, showing that 2 is to be subtracted from 7.

Formula of Subtraction Operation

The formula for the subtraction operation involves a minuend, a subtrahend, and a difference. It’s written in the format: Minuend – Subtrahend = Difference. For example, in the subtraction problem 15 – 6 = 9, 15 is the minuend, 6 is the subtrahend, and 9 is the difference.

What Is Minus in Math?

The minus sign (-) in math is a symbol used to represent subtraction, as well as negative numbers and the opposite of a number. When used for subtraction, it signifies that a number (the subtrahend) is to be subtracted from another number (the minuend). For example, in 10 – 3, the minus sign signifies that 3 is to be subtracted from 10. When used to represent negative numbers, the minus sign is placed before the number to indicate that it is less than zero. For instance, -5 is a negative number.

Uses of Minus Sign

The minus sign (-) has several uses in mathematics. Apart from representing subtraction and negative numbers, it’s used to denote the opposite of a number. For instance, the opposite of +5 is -5. It’s also used in equations to balance the two sides. For example, to balance the equation x + 2 = 5, we subtract 2 from both sides to get x = 5 – 2. Moreover, in the context of temperature, the minus sign is used to indicate degrees below zero.

How To Solve Subtraction Problems?

Solving subtraction problems typically involves three steps: identifying the minuend and subtrahend, performing the subtraction operation, and writing down the difference. For instance, to solve the subtraction problem 13 – 4, identify 13 as the minuend and 4 as the subtrahend. Subtract 4 from 13 to get the difference, which is 9. So, 13 – 4 = 9.

Subtraction Without Regrouping

Subtraction without regrouping (also known as subtraction without borrowing) occurs when the minuend (top number) in each column is larger than or equal to the subtrahend (bottom number). In this case, you simply subtract the smaller number from the larger number. For example, in the subtraction problem 63 – 27, you can subtract 7 from 3 and 2 from 6 without needing to borrow or regroup.

Subtraction With Regrouping

Subtraction with regrouping (also known as subtraction with borrowing) is a method used when the minuend (top number) in a column is smaller than the subtrahend (bottom number). In this case, you borrow 1 from the next higher place value column. For instance, in the subtraction problem 53 – 28, you can’t subtract 8 from 3 without regrouping. So, you borrow 1 from the tens place (making it 4), and the 3 becomes 13. Then you can subtract 8 from 13 and 2 from 4 to get the difference, 25.

Subtraction Table

A subtraction table is a chart that shows the results of subtracting one number from another. The minuend (from which subtraction is made) is listed down the left column, and the subtrahend (which is subtracted) across the top row. The difference can be found where the row and column of the minuend and subtrahend meet. Subtraction tables are great tools for children learning subtraction, as they provide a visual representation of the operation and can help improve speed and accuracy.

Subtraction Sums

Subtraction sums refer to the problems or exercises that involve the operation of subtraction. They may consist of simple problems like 7 – 3, or more complex ones that involve larger numbers, decimals, fractions, or integers. Practice with a variety of subtraction sums can help children improve their fluency and understanding of the subtraction operation.

Subtraction of Fractions

The subtraction of fractions involves a few steps. If the fractions have the same denominator (also known as like fractions), you simply subtract the numerators and keep the denominator. For example, 5/8 – 3/8 = 2/8, which simplifies to 1/4. If the fractions have different denominators (also known as unlike fractions), you first need to find a common denominator, adjust the numerators accordingly, then subtract.

Subtraction of Integers

Subtraction of integers can be a bit tricky due to the presence of positive and negative numbers. However, it can be simplified by understanding that subtracting a number is the same as adding its opposite. For example, to subtract -3 from 5 (5 – (-3)), you add the opposite of -3 (which is 3) to 5, resulting in 8.

Subtraction on Number Line

Subtraction on a number line provides a visual method for subtracting numbers. To subtract a number, you start at the minuend and move to the left the number of steps equal to the subtrahend. For example, to subtract 3 from 7 on a number line, you start at 7 and move three steps to the left, landing on 4.

Subtraction Word Problems

Subtraction word problems are practical scenarios that require the use of subtraction to solve. They are often used in math education to apply subtraction skills to real-world situations. For example, “John has 15 candies. He gives 7 to his friend. How many candies does John have now?” requires the subtraction operation to solve (15 – 7 = 8).

Properties of Subtraction

There are several properties of subtraction, including the property of non-commutativity (changing the order of the numbers changes the result, i.e., a – b ≠ b – a) and the property of non-associativity (changing the grouping of the numbers changes the result, i.e., (a – b) – c ≠ a – (b – c)).

Solved Examples On Subtraction

Here are some solved examples on subtraction:

• 10 – 5 = 5
• 7 – 2 = 5
• 15 – 8 = 7

Each example follows the same format: Minuend – Subtrahend = Difference.

Practice Problems On Subtraction

Practice problems are an excellent way to reinforce your understanding of subtraction. Here are a few practice problems on subtraction:

• 12 – 7 = ?
• 9 – 4 = ?
• 6 – 3 = ?

Try solving these problems to test your subtraction skills!

In conclusion, subtraction is a fundamental mathematical operation, which plays a pivotal role in our everyday lives and in the broader realm of mathematics. At Brighterly, we believe in simplifying complex concepts, making subtraction an accessible and understandable topic for children. By understanding the concept, symbols, and methods of subtraction, such as without regrouping and with regrouping, learners can build a robust mathematical foundation. Our hands-on examples and intuitive explanations help students grasp these concepts effectively. Remember, practice is key in mastering subtraction. Therefore, we encourage learners to frequently use the practice problems and worked examples provided here on Brighterly to hone their subtraction skills. Together, let’s make learning math a fun, engaging, and brighter experience!

Frequently Asked Questions On Subtraction

What is subtraction.

Subtraction is a fundamental arithmetic operation that is integral to our daily mathematical calculations. It is the process of deducting a quantity, often referred to as the subtrahend, from a larger quantity known as the minuend. Subtraction is used to determine the difference between these two numbers or quantities. Conceptually, subtraction can be thought of as the operation of “taking away.” It’s crucial in various real-world scenarios, such as when we calculate the remaining amount of money after making a purchase or determining the time left for an event to start.

What is the symbol for subtraction?

The symbol for subtraction is the minus sign (-). It is used between two numbers to denote that the number following the sign should be subtracted from the number preceding it. This symbol is universally recognized in mathematics and signifies the operation of subtraction. For example, in the arithmetic expression “7 – 2”, the minus sign indicates that 2 should be subtracted from 7.

What is the formula for subtraction?

The standard formula for subtraction is expressed as: Minuend – Subtrahend = Difference. Here, the minuend is the initial quantity from which another quantity, the subtrahend, is subtracted. The result of this operation is known as the difference. To illustrate, let’s consider the subtraction operation “9 – 4 = 5”. Here, 9 is the minuend, 4 is the subtrahend, and 5 is the difference. This formula provides the basic framework for understanding and performing subtraction operations.

Information in this article was collated from reputable sources including:

• Wikipedia – Subtraction
• U.S. Department of Education – Helping Your Child Learn Mathematics
• Open University – Introduction to Subtraction
• Stanford Mathematics Education – Number & Operations

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Subtraction Worksheets

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Subtraction by breaking apart.

• Break apart 3-digit subtraction problems
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Subtraction word problems

In the problem below, Sebastian has 8 pencils and he gives away 5 pencils to his friends. Sebastian is experiencing a loss of 5 pencils, so the subtraction problem to solve to get the answer is 8 - 5 and 8 - 5 = 3.

Sebastian is left with 3 pencils.

Here are a few more interesting subtraction word problems along with their solutions.

A stock bottle of medication contains 500 mg of a drug. You used 125 mg for one prescription and 62.5 mg for a second prescription, while the third prescription was for a child and only 25.25 mg were necessary.

A. What quantity (mg) of the medication has been used? Round to the nearest hundredths.

B. What quantity (mg) of the original medication is left in the stock bottle? Round to the nearest tenths.

A. We can find the quantity that has been used by adding 125 mg, 62.5 mg, and 25.25 mg together.

125 mg + 62.5 + 25.25 = 212.75 mg

212.75 rounded to the nearest hundredths is 212.75

B. We can find the quantity that is left in the stock bottle by subtracting 212.75 mg from 500 mg.

500 - 212.75 = 287.25

287.25 rounded to the nearest tenths is 287.3

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Addition Word Problems

Represent 'Add To' Scenarios Game

Learn to solve math problems through our 'Represent 'Add To' Scenarios' game.

Solve 'Add To' Scenarios Game

Add more arrows to your child’s math quiver by solving 'Add To' scenarios.

Find the Sum Using Part-Part-Whole Model Worksheet

Combine math learning with adventure by solving to find the sum using 'Part-Part-Whole' model.

Write Equations Using Part-Part-Whole Model Worksheet

Learn number sense at the speed of lightning by writing equations using 'Part-Part-Whole' model.

Subtraction Word Problems

Represent 'Take Apart' Scenarios Game

Kids must represent 'Take Apart' scenarios to practice subtraction.

Solve 'Take Apart' Scenarios Game

Take the pressure off by simplifying subtraction by solving 'Take Apart' scenarios.

Subtract Using Part-Part-Whole Model Worksheet

Combine math learning with adventure by solving to subtract using 'Part-Part-Whole' model.

Solve Using Part-Part-Whole Model Worksheet

Learn subtraction at the speed of lightning by practicing to solve using 'Part-Part-Whole' model.

All Addition and Subtraction Word Problems Resources

Add within 5: Summer Word Problems Worksheet

Engaging summer-themed worksheet with word problems to enhance addition skills within 5.

Subtract within 5: Summer Word Problems Worksheet

A fun, summer-themed worksheet designed to enhance students' subtraction skills with problems up to 5.

Add within 5: Halloween Word Problems Worksheet

Spooky-themed worksheet for practicing addition within 5 through Halloween word problems.

Subtract within 5: Halloween Word Problems Worksheet

Spooky themed worksheet to master subtraction within 5 through fun Halloween word problems!

Represent 'Put Together' Scenarios Game

Have your own math-themed party by learning how to represent 'Put Together' scenarios.

Change Unknown Scenarios Game

Shine bright in the math world by learning how to change unknown scenarios.

Add within 5: Christmas Word Problems Worksheet

Engage in festive math fun with this Christmas-themed worksheet, adding numbers within 5.

Subtract within 5: Christmas Word Problems Worksheet

Engaging Christmas-themed worksheet for students to master subtraction within 5 through word problems.

Solve 'Put Together' Scenarios Game

Shine bright in the math world by learning how to solve 'Put Together' scenarios.

Word Problems to Subtract Multiples of 10 Game

Help your child take flight by learning how to solve word problems to subtract multiples of 10.

Add within 5: Shopping Word Problems Worksheet

Engaging worksheet with a shopping theme to help students master addition within 5 through word problems.

Subtract within 5: Shopping Word Problems Worksheet

Engaging subtraction worksheet with a shopping theme, helping students solve problems within 5.

Solve Count On Scenarios Game

Begin the exciting journey of becoming a math wizard by learning how to solve count on scenarios.

Solve Word Problems on Take From Scenarios Game

Enjoy the marvel of math-multiverse by learning to solve word problems on "Take From" scenarios.

Add within 5: Travel Word Problems Worksheet

This worksheet combines fun travel-themed scenarios with math problems, requiring students to add numbers within 5.

Subtract within 5: Travel Word Problems Worksheet

Travel-themed worksheet to enhance students' subtraction skills within 5 through word problems.

Solve 'Change Unknown' Scenarios Game

Begin the exciting journey of becoming a math wizard by solving 'Change Unknown' scenarios.

Solve Difference Unknown Scenarios Game

Kids must solve difference unknown scenarios to practice subtraction.

Add within 5: Sports Word Problems Worksheet

Engaging sports-themed worksheet designed to strengthen students' ability to add within 5.

Subtract within 5: Sports Word Problems Worksheet

Sports-themed worksheet designed to engage students in solving subtraction problems within 5.

Solve 'Count On' Word Problems Game

Take the first step towards building your math castle by solving 'Count On' word problems.

Solve Scenarios with 'Difference Unknown' Game

Shine bright in the math world by learning how to solve scenarios with 'Difference Unknown'.

Add within 5: Cooking Word Problems Worksheet

A fun, cooking-themed worksheet for students to practice addition within 5 with word problems.

Subtract within 5: Cooking Word Problems Worksheet

Whip up your subtraction skills with this cooking-themed worksheet, subtracting within 5!

Represent 'Add To' Word Problems Game

Take a deep dive into the world of math with our 'Represent 'Add To' Word Problems' game.

Solve Subtraction Word Problems Game

Enjoy the marvel of mathematics by exploring how to solve subtraction word problems.

Add within 5: Winter Word Problems Worksheet

Engage students with this Winter-themed worksheet, solving fun addition problems within 5.

Subtract within 5: Winter Word Problems Worksheet

Engaging winter-themed worksheet to practice subtraction within 5 through word problems.

Solve 'Add To' Word Problems Game

Unearth the wisdom of mathematics by learning how to solve 'Add To' word problems.

Represent 'Put Together' Word Problems Game

Unearth the wisdom of mathematics by learning how to represent 'Put Together' word problems.

Add within 5: Easter Word Problems Worksheet

Engaging Easter-themed worksheet focused on solving addition problems up to the number 5.

Subtract within 5: Easter Word Problems Worksheet

Engage in this Easter-themed worksheet, subtracting numbers within 5 through fun word problems.

Solve 'Put Together' Word Problems Game

Let your child see the world through math-colored shades by solving 'Put Together' word problems!

Word Problems to Add Multiples of 10 Game

Learn to solve word problems to add multiples of 10.

Add within 5: Thanksgiving Word Problems Worksheet

Thanksgiving-themed worksheet helping students solve word problems by adding within 5.

Subtract within 5: Thanksgiving Word Problems Worksheet

Engaging worksheet for students to solve Thanksgiving-themed subtraction problems within 5.

Word Problems to Add Tens to a 2-digit number Game

Make math learning fun by solving word problems to add tens to a 2-digit number.

Solve Word Problems on Add to Scenarios Game

Ask your little one to solve word problems on "Add to" scenarios to play this game.

Create and Solve Your Own Story Problem Worksheet

Help your child revise subtraction by creating and solving your own story problem.

Solve Word Problems on Put together Scenarios Game

Practice the superpower of addition by learning to solve word problems on "Put together" scenarios.

Subtract to Compare Game

Let your child see the world through math-colored shades by subtracting to compare.

Solve Addition Word Problems Worksheet

Assess your math skills by solving addition word problems in this worksheet.

Your one stop solution for all grade learning needs.

Subtraction of Integers Exercises

Subtracting integers practice problems with answers.

The following ten (10) practice problems are all about subtracting integers . Keep practicing and you will get better in no time! Have fun!

Note: To subtract integers, change the operation from subtraction to addition but take the opposite sign of the second integer. Then proceed with regular integer addition as usual.

Case 1: [latex]a – b \to a {\color{red}+} \left( { {\color{red}-} b} \right)[/latex]

Case 2: [latex]a – \left( { – b} \right) \to a {\color{red}+} \left( { {\color{red}+} b} \right)[/latex]

Problem 1: Subtract the integers: [latex]8 – 5[/latex]

[latex]3[/latex]

Problem 2: Subtract the integers: [latex]12 – \left( { – 3} \right)[/latex]

[latex]15[/latex]

Problem 3: Subtract the integers: [latex] – 7 – 4[/latex]

[latex]-11[/latex]

Problem 4: Subtract the integers: [latex] – 13 – \left( { – 17} \right)[/latex]

[latex]4[/latex]

Problem 5: Subtract the integers: [latex]9 – \left( { – 1} \right)[/latex]

[latex]10[/latex]

Problem 6: Subtract the integers: [latex]1 – \left( { – 2} \right) – 3[/latex]

[latex]0[/latex]

Problem 7: Subtract the integers: [latex] – 4 – 2 – \left( { – 9} \right)[/latex]

Problem 8: Subtract the integers: [latex] – 8 – \left( { – 1} \right) – \left( { – 5} \right)[/latex]

[latex]-2[/latex]

Problem 9: Subtract the integers: [latex] – 6 – \left( { – 4} \right) – \left( { – 1} \right) – 3[/latex]

[latex]-4[/latex]

Problem 10: Subtract the integers: [latex]11 – 16 – \left( { – 2} \right) – \left( { – 10} \right)[/latex]

[latex]7[/latex]

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Problem Solving on Subtraction | Learn How to Solve Subtraction Problems | Subtraction Word Problems with Answers

Subtraction is one of the basic arithmetic operations in mathematics. Subtraction means removing the specified number from the minuend or bottom number. We can observe the use of Subtraction in our everyday life in different ways. In subtraction, we will subtract numbers and find the difference between them. In Subtraction the numbers in both the minuend and subtrahend have the same digit numbers. Go through the complete article to be aware of the terms associated with subtraction and therefore the symbol used etc.

You can use and download without any charge, for more practicing purposes. On this page, you will learn the subtraction definition, solved problems on subtraction, and so on.

Also, Read Some More:

• Subtracting 2-digit numbers with Borrowing
• Subtraction without Regrouping
• Subtracting Numbers in Expanded Form 

Subtraction – Definition | What is meant by Subtraction?

In Mathematics, Subtraction is required for removal from a bunch or number of things. On Subtracting the number of things within the group decreases or reduces. The symbol ‘–’ is named the minus and therefore the number after the symbol must be subtracted from the number before it.

Terms utilized in the Subtraction are Minuend, Subtrahend, Difference. For Example: In 8-3, 8 is the minuend and 3 is the subtrahend and 5 is the difference.

Subtraction Word Problems with Answers

Example 1:  Sita had 20 pens. She gave 3pens to her friend. How many pens left with her? Solution: As given in the question, The total number of pens Sita had = 20 pens The number of pens she gave to her friend = 3 pens Now, we can calculate how many pens left with her. Using subtraction law, we get the value So, subtract the values i.e., 20 – 3 = 17 Therefore, the number of pens she has left is 17.

Example 2: Dinny’s mother is 48 years old. His father is 51 years old. What is the difference between their ages? Solution:  In the given question, father age and mother age is given. Now, we are going to find the difference in their ages. Using the Subtraction law, we can find the difference then we will get the value easily. So, the difference of their age is, 51 years – 48 years = 3 years. Therefore, the difference between the father’s age and the mother’s age is 3 years.

Example 3: There are 8 parrots and 6 pigeons. How many fewer pigeons are there than parrots? Solution: As given in the question, The number of Parrots is 8. The number of Pigeons is 6. Now, to find the number of fewer pigeons. We use the subtraction law, we get the value, So, 8 – 6 = 2 Therefore, compared to parrots the number of lesser pigeons is 2.

Therefore, the difference value of the two given numbers  8451 and 5263 is 3188.

Example 7: Subtract the value 648 from 837. Write the difference value. Solution: In the given question, the numbers are 648 and 837. Now, we want to find the difference value of the given two numbers. By using the Subtraction method, we can get the difference value, The numbers are 648 and 837, 837 – 648 = 189 ( 8 is not subtracted from 7. So, take a regroup from the following number 3, then the value changes to 17. Now subtract 17 – 8 = 9. After taking borrow the value 3 is reduces to 2, so 2- 4 is not subtracted. So, take a borrow from the following number 8, the value will be 12 – 4 = 8. Next 7-6 =1) Therefore, after subtracting 648 from 837, we get the difference value is 189.

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When Subtraction Adds Value

• Gabrielle Adams,
• Benjamin A. Converse,
• Andrew Hales,
• Leidy Klotz

Research shows we tend to solve problems through addition. But that’s not always the best approach.

Imagining ways to introduce change is an essential skill no matter one’s occupation, role, or rank. Across a series of experiments, the authors found that people systematically overlook subtractive changes, instead following their instincts to add. There is nothing inherently wrong with adding. But if it becomes a business’s default path to improvement, that business may be failing to consider a whole class of other opportunities. With subtraction in mind, a designer might rid the app of unnecessary features, a manager might remove barriers to a more inclusive culture, and an advisory board member might suggest divesting from fossil fuels. The good news is that an understanding of the psychology behind subtraction neglect reveals some ways to avoid it.

Imagining ways to introduce change is an essential skill no matter one’s occupation, role, or rank. To distinguish an app, a designer envisions a unique new feature. To enhance workplace culture, a manager considers new training modules or incentives. To increase corporate social responsibility, an advisory board identifies green-energy investment opportunities.

• Gabrielle Adams  is an assistant professor of public policy (Frank Batten School of Leadership and Public Policy) and business administration (Darden School of Business) at the University of Virginia. She studies the psychological processes and interpersonal dynamics that yield “good” decisions, policies, and conditions in organizations.
• Benjamin A. Converse  is an associate professor of public policy (Frank Batten School of Leadership and Public Policy) and psychology (College of Arts and Science) at the University of Virginia. He studies motivation, decision making, and social judgment. His recent projects have focused on competitive relationships, problem-solving strategies, and long-term goal pursuit.
• Andrew Hales  is an assistant professor in the department of psychology at the University of Mississippi. His research focuses on the causes and consequences of social ostracism, and social influence.
• Leidy Klotz  is a professor of engineering and architecture at the University of Virginia. Leidy studies decision-making for environmental and social sustainability and is the author of  Subtract: The Untapped Science of Less .

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