rational numbers presentation ppt

Evaluating Algebraic Expressions

Dividing Rational Numbers

California Standards

Lesson Presentation

3. 0.05(2.8)

4. –0.9(16.1)

NS1.2 Add, subtract, multiply, and divide rational numbers (integers, fractions, and terminating decimals) and take positive rational numbers to whole-number powers.

AF1.3 Simplify numerical expressions by applying properties of rational numbers (e.g. identity, inverse, distributive, associative, commutative) and justify the process used.

multiplicative inverse

Two numbers whose product is 1 are multiplicative inverses , or reciprocals .

A division problem can always be rewritten as a multiplication problem by using the reciprocal of the divisor.

Additional Example 1A: Dividing Fractions

Divide. Write the answer in simplest form.

Multiply by the reciprocal.

No common factors.

Simplest form

Additional Example 1B: Dividing Fractions

Write as an improper fraction.

No common factors

Check It Out! Example1A

Check It Out! Example1B

When dividing a decimal by a decimal, multiply both numbers by a power of 10 so you can divide by a whole number. To decide which power of 10 to multiply by, look at the denominator. The number of decimal places represents the number of zeros after the 1 in the power of 10.

1 decimal place

Find 0.384 ÷ 0.24. Estimate the reasonableness of your answer.

Additional Example 2: Dividing Decimals

0.24 has two decimal places so multiple both numbers by 100 to make the divisor an integer.

0.24 ) 0.384

Then divide as a whole number.

0.384 ÷ 0.24 = 1.6

Estimate: 40 ÷ 20 = 2

The answer is reasonable.

Find 0.65 ÷ 0.25. Estimate the reasonableness of your answer.

Check It Out! Example 2

0.25 has two decimal places so multiple both numbers by 100 to make the divisor an integer.

0.25 ) 0.65

0.65 ÷ 0.25 = 2.6

Estimate: 60 ÷ 20 = 3

for n = 0.15

Substitute 0.15 for n.

Additional Example 3: Evaluating Expressions with Rational Numbers

Evaluate the expression for the given value of the variable.

When n = 0.15, = 35.

0.15 ) 5.25

0.15 has two decimal places, so multiply both numbers by 100 to make the divisor an integer.

for n = 0.12

Substitute 0.12 for n.

Check It Out! Example 3

When n = 0.12, = 30.

0.12 ) 3.60

0.12 has two decimal places, so multiply both numbers by 100 to make the divisor an integer.

Additional Example 4: Problem Solving Application

A muffin recipe calls for cup of oats.

You have cup of oats. How many batches of muffins can you bake using all of the oats you have?

Understand the Problem

The number of batches of muffins you can bake is the number of batches using the oats that you have. List the important information :

The amount of oats is cup.

One batch of muffins calls for cup of oats.

Additional Example 4 Continued

Set up an equation.

Make a Plan

Let n = number of batches.

You can bake 1 batches of the muffins.

One cup of oats would make two batches so 1 is a reasonable answer.

Check It Out! Example 4

A ship will use of its total fuel load for a typical round trip. If there is of a total fuel load on board now, how many complete trips can be made?

It takes of the total fuel load for a complete trip. You have of a total fuel load on board right now.

The number of complete trips the ship can make is the number of trips that the ship can make with the fuel on board.

List the important information :

Check It Out! Example 4 Continued

Amount of fuel on board

Amount of fuel for one trip

Number of trips

Let t = number of trips.

You can complete 3¾ trips, or 3 complete trips.

A full tank will make the round trip 6 times, and is a little more than , so half of 6, or 3, is a reasonable answer.

Lesson Quiz

2. –14 ÷ 1.25

4. Evaluate for x = 6.3.

3. 3.9 ÷ 0.65

A penny weighs 2.5 grams. How many pennies would it take to equal one pound (453.6 grams)?

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Rational Numbers Mathematics- Grade 7.

Published by Ruth Howard Modified over 8 years ago

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Presentation on theme: "Rational Numbers Mathematics- Grade 7."— Presentation transcript:

Multiplying and Dividing Real Numbers; Properties of Real Numbers

Thinking Mathematically

LESSON 2 FRACTIONS. Learning Outcomes By the end of this lesson, students should be able to: ◦ Understand types of fractions. ◦ Convert improper fractions.

Factors, Fractions, and Exponents

Rational Numbers and Decimals

Operations on Rational Expressions Digital Lesson.

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Unit 1: Number Sense Minds On. Unit 1: Number Sense Learning Goals: I can convert between mixed and improper fractions I can perform all four operations.

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Multiplying and Dividing Real Numbers. Language Goal  Students should be able to explain how to perform multiplication and division with real numbers.

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(7th) Rational Numbers in a PowerPoint Presentation

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7th Grade Math Rational Numbers in a PowerPoint Presentation

This slideshow lesson is very animated with a flow-through technique. I developed the lesson for my 7th grade class, Pre-Pre-Algebra, but it can also be used for upper level class reviews. This lesson teaches how to understand that a rational number is an integer divided by an integer, convert rational numbers to decimals, and order fractions and decimals.

This lesson has SKELETON NOTES , notes that have the problem only. I used this with our 1-1 district devices. This will allow for the students to follow the lesson easier. There are 6 slides per page with plenty of room for notetaking. They are in a pdf format for easy printing too. A Word document is included for you to EDIT i f you won’t be doing all of the problems so you can shorten it. I also made another version of skeleton notes that is only one or two sheets long in a pdf. When I printed off skeleton notes for the whole class this is what I used. It is also editable so you can delete the problems and rearrange the skeleton notes however you want.

NEW : The lesson is in an editable format so you can tailor the lesson to your class. The problems and clipart can’t be edited due to the TOU and to maintain the copyright integrity of the product. If you need an alternative version because your country uses different measurements, units, or slight wording adjustment for language differences just email me at [email protected]. I am respond to email quickly.

The presentation has 61 slides with LOTS of whiteboard practice. Use as many or as few of the problems to help your students learn each concept. For more PowerPoint lessons & materials visit Preston PowerPoints .

Students often get lost in multi-step math problems. This PowerPoint lesson is unique because it uses a flow-through technique, guided animation, that helps to eliminate confusion and guides the student through the problem. The lesson highlights each step of the problem as the teacher is discussing it, and then animates it to the next step within the lesson. Every step of every problem is shown, even the minor or seemingly insignificant steps. A helpful color-coding technique engages the students and guides them through the problem (Green is for the answer, red for wrong or canceled numbers, & blue, purple & sometimes orange for focusing the next step or separating things.) Twice as many examples are provided, compared to a standard textbook. All lessons have a real-world example to aid the students in visualizing a practical application of the concept.

This lesson applies to the Common Core Standard:

The Number System 7.NS.2b, 7.NS.2d

Apply and extend previous understandings of operations with fractions.

2. Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.

b. Understand that integers can be divided, provided that the divisor is not zero, and every quotient of integers (with non-zero divisor) is a rational number. If p and q are integers, then -(p/q) = (-p)/q = p/(-q). Interpret quotients of rational numbers by describing real-world contexts.

d. Convert a rational number to a decimal using long division; know that the decimal form of a rational number terminates in 0s or eventually repeats.

Are you looking for the 7th Grade Rational Numbers Bundle? Click here!

This resource is for one teacher only. You may not upload this resource to the internet in any form. Additional teachers must purchase their own license. If you are a coach, principal or district interested in purchasing several licenses, please contact me for a district-wide quote at [email protected]. This product may not be uploaded to the internet in any form, including classroom/personal websites or network drives.

*This lesson contains 28 problems. Each problem in this lesson uses several pages in order to achieve the animated flow-through technique.

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Rational numbers in the number line - Best PowerPoint Presentation | Lumos Learning

Rational numbers in the number line, - by gracerobledo2.

Rational numbers in the number line is related to Grade 7 and focuses on standards 7.NS.2.B. This Lumos presentation viewer page not only allows you to view and download Rational numbers in the number line but also view questions, videos, apps, books and other resources related to 7.NS.2.B.

Rational numbers in the number line is related to Grade 7 and focuses on standards 7.NS.A.2.B. This Lumos presentation viewer page not only allows you to view and download Rational numbers in the number line but also view questions, videos, apps, books and other resources related to 7.NS.A.2.B.

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RATIONAL NUMBERS

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Math Subject for Middle School - 7th Grade: Rational Number

Math subject for middle school - 7th grade: rational number presentation, free google slides theme, powerpoint template, and canva presentation template.

Making Math accessible and fun can be a challenge, but it’s by no means an impossible task: with this template for seventh grade students, rational numbers can become as interesting as any other subject! Its look is inspired in that of a file folder, and the barrage of colors on display in every slide keeps things lively while you explain the finer points of middle school Math. Simply add your own content and you’ll have something that’s much more than the sum of its parts!

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Dividing Rational Numbers

Jul 16, 2014

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Rational Numbers ~. Dividing Rational Numbers. Dividing Rational Numbers. RULES: 1. When multiplying or dividing integers with the same signs, the answer will be Positive . Dividing Rational Numbers. RULES:

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Presentation Transcript

Rational Numbers ~ Dividing Rational Numbers

Dividing Rational Numbers RULES: 1. When multiplying or dividing integers with the same signs, the answer will be Positive.

Dividing Rational Numbers RULES: 1. When multiplying or dividing integers with the same signs, the answer will be Positive. 2. When multiplying or dividing integers with different signs, the answer will be Negative.

Rules for Dividing Rational Numbers: Dividing two integers with the same signs: ÷ Positive Positive= Positive + + + ÷ = ÷ Negative Negative= Positive + - - + ÷ =

Rules for Dividing Rational Numbers: Dividing two integers with different signs: ÷ Positive Negative= Negative - - + ÷ = ÷ NegativePositive= Negative - - + ÷ =

-48 ÷ 6= 24 ÷ -6= -63 ÷ -9= Try some. Find the quotient. Remember the rules for dividing rational numbers.

Try some. -48 ÷ 6= -8 - - + 24 ÷ -6= -4 - - + -63 ÷ -9= 7 - - +

Dividing Rational Numbers Use the same rules for multiplying as dividing. [Remember that division by zero is undefined.] -32 ÷ 8 = -48 ÷ (-6) = -56 ÷ (-4) = -140 ÷ 5 = -4 8 14 -28

Dividing Rational Numbers Example Solve x = -52 ¸ (-4). x = -52 ¸ (-4) The dividend and the divisor have the same sign.

Dividing Rational Numbers Example Solve x = -52 ¸ (-4). x = -52 ¸ (-4) x = 13 The dividend and the divisor have the same sign. The quotient is positive.

Dividing Rational Numbers • Practice: • 1. -60 ¸ 15

Dividing Rational Numbers • Practice: • 1. -60 ¸ 15 -4

Dividing Rational Numbers • Practice: • 1. -60 ¸ 15 • 2. 45 ¸ -5

Dividing Rational Numbers • Practice: • 1. -60 ¸ 15 • 2. 45 ¸ -5 -9

Dividing Rational Numbers • Practice: • 1. -60 ¸ 15 • 2. 45 ¸ -5 • 3. -27 ¸ (-9)

Dividing Rational Numbers • Practice: • 1. -60 ¸ 15 • 2. 45 ¸ -5 • 3. -27 ¸ (-9) 3

Dividing Rational Numbers • Practice: • 1. -60 ¸ 15 • 2. 45 ¸ -5 • 3. -27 ¸ (-9) • 4. 27 ¸ 9

Dividing Rational Numbers • Practice: • 1. -60 ¸ 15 • 2. 45 ¸ -5 • 3. -27 ¸ (-9) • 4. 27 ¸9 3

Dividing Rational Numbers • Practice: • 1. -60 ¸ 15 • 2. 45 ¸ -5 • 3. -27 ¸ (-9) • 4. 27 ¸ 9 • 5. 63 ¸ (-3)

Dividing Rational Numbers • Practice: • 1. -60 ¸ 15 • 2. 45 ¸ -5 • 3. -27 ¸ (-9) • 4. 27 ¸ 9 • 5. 63 ¸ (-3) -21

Student Activity You will now receive a worksheet. Turn the worksheet in when completed.

Do Not Disturb Work In Progress

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