go math grade 5 lesson 6.5 homework answers

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Go Math! 5 Common Core, Grade: 5 Publisher: Houghton Mifflin Harcourt

Go math 5 common core, title : go math 5 common core, publisher : houghton mifflin harcourt, isbn : 547587813, isbn-13 : 9780547587813, use the table below to find videos, mobile apps, worksheets and lessons that supplement go math 5 common core., textbook resources.

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Texas Go Math Grade 3 Lesson 6.5 Answer Key Commutative Property of Multiplication

Refer to our Texas Go Math Grade 3 Answer Key Pdf to score good marks in the exams. Test yourself by practicing the problems from Texas Go Math Grade 3 Lesson 6.5 Answer Key Commutative Property of Multiplication.

Essential Question How can you use the Commutative Property of Multiplication to find products? Answer: The commutative property of multiplication also applies when  you multiply more than two numbers. When we have more than two numbers, we  can switch around  the numbers any which way we want. ab = b a; a b = b a.

Unlock the Problem Dave works at the Bird Store. He arranges 15 boxes of birdseed in rows on the shelf. What are two ways he can arrange the boxes in equal rows? Answer: 3 x 5 = 15 5 x 3 = 15 Explanation: Dave arranges 15 boxes of birdseed in rows on the shelf. The following are the two ways he can arrange the boxes in equal rows 3 x 5 = 15 5 x 3 = 15

How many tiles are in each row? ___ Answer: 5 tiles What multiplication sentence does your array show? ___ Answer: 5 x 3 = 15

How many tiles are in each row? ___ Answer: 3

What multiplication sentence does your array show? ________ Answer: Multiply 3 x 5 = 15 So, two ways Dave can arrange the 15 boxes are in 5 rows of 3 or in 3 rows of 5.

Math Idea Facts that show the Commutative Property of Multiplication have the same factors in a different order. 2 × 3 = 6 and 3 × 2 = 6

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Math Talk Mathematical Processes Explain what the factor 2 means in each multiplication sentence. Answer: In a multiplication sentence, the two numbers either side of the multiplication sign are called factors. The number after the equals sign is called the multiple. Explanation: For example: If you write the two smaller numbers the other way around as 5 × 3 = 15 instead of 3 × 5 =15, this does not matter when talking about this array. It would mean 5 lots of 3.

Write a multiplication sentence for the model. Then use the Commutative Property of Multiplication to write a related multiplication sentence.

Problem Solving

Question 5. Write Math How is the Commutative Property of Multiplication like the Commutative Property of Addition? Answer: The commutative property of addition states that for any a and b, a + b = b = a, similarly; The commutative property of multiplication states that for any a x b = b x a Explanation: The commutative property essentially means that the order in which we perform a single addition or multiplication does not matter.

H.O.T. Algebra Write the unknown factor.

Question 6. 3 × 7 = __ × 3 Answer: 7 Explanation: Commutative Property of Multiplication x   x  y   = y   x  x 3 x 7 = 7 x 3 = 21

Go Math Lesson 6.5 3rd Grade Answer Key Question 7. 4 × 5 = 10 × ___ Answer: 2 Explanation: Commutative Property of Multiplication x   x  y   = y   x  x 4 x 5 = 20 = 10 x 2

Question 8. 3 × 6 = ___ × 9 Answer: 2 Explanation: Commutative Property of Multiplication x   x  y   = y   x  x 3 x 6 = 18 = 2 x 9

Question 9. 6 × __ = 4 × 9 Answer: 6 Explanation: Commutative Property of Multiplication x   x  y   = y   x  x 6 x 6 = 36 = 4 x 9

Question 10. __ × 8 = 4 × 6 Answer: 3 Explanation: Commutative Property of Multiplication x   x  y   = y   x  x 3 x 8 = 24 = 4 x 6

Question 11. 5 × 8 = 8 × ___ Answer: 5 Commutative Property of Multiplication x   x  y   = y   x  x 5 x 8 = 40 = 8 x 5

Question 14. Write Math Write two different word problems about 12 birds to show 2 × 6 and 6 × 2. Solve each problem. Answer: Word problem: Jenna saw 6 birds sitting on 2 branches, how many birds were on the tree? 2 x 6 = 12 Sabastian saw 2 birds sitting on one branch, a total of 6 branches are there t that tree. total how many birds are there? 6 x 2 =12

Daily Assessment Task

Fill in the bubble for the correct answer choice. You can use objects or models to solve.

Question 15. Sebastian has 4 equal rows of action figures. There are 5 action figures in each row. One way to find the number of action figures is to multiply 4 × 5. What is another way to find the number of action figures? (A) add 4 + 5 (B) add 5 + 5 (C) multiply 5 × 4 (D) multiply 6 × 5 Answer: Option (C) Explanation: Sebastian has 4 equal rows of action figures. There are 5 action figures in each row. One way to find the number of action figures is to multiply 4 × 5. Another way to find the number of action figures is to multiply 5 x 4.

Question 16. Use Tools Rachel has 24 stamps. She arranges them in 3 rows with 8 stamps in each row. What is another way she could arrange the 24 stamps? (A) 2 rows of 8 stamps (B) 8 rows of 3 stamps (C) 8 rows of 4 stamps (D) 6 rows of 3 stamps Answer: Option (B) Explanation: Rachel has 24 stamps. She arranges them in 3 rows with 8 stamps in each row. Another way she could arrange the 24 stamps 8 rows of 3 stamps.

Go Math 3rd Grade Lesson 6.5 Answer Key Question 17. Multi-Step Mr. Diaz sets out 6 rows of glasses with 3 glasses in each row. Mrs. Diaz sets out 3 rows of glasses with 6 glasses in each row. How many glasses do Mr. and Mrs. Diaz set out in all? (A) 36 (B) 54 (C) 18 (D) 24 Answer: Option (D) Explanation: Mr. Diaz sets out 6 rows of glasses with 3 glasses in each row. Mrs. Diaz sets out 3 rows of glasses with 6 glasses in each row. Number of glasses Mr. and Mrs. Diaz set out in all 6 x 3 + 3 x 6 = 12 + 12 = 24

Texas Test prep

Question 18. Communicate Which is an example of the Commutative Property of Multiplication? (A) 2 × 6 = 3 × 4 (B) 4 × 1 = 4 × 1 (C) 2 × 4 = 4 × 2 (D) 2 + 3 = 3 × 2 Answer: Option (C) Explanation: The commutative property of multiplication also applies when  you multiply more than two numbers. When we have more than two numbers, we  can switch around  the numbers any way we want. ab = b a; a b = b a.

Texas Go Math Grade 3 Lesson 6.5 Homework and Practice Answer Key

Write a multiplication sentence for each model. Then use the Commutative Property of Multiplication to write a related multiplication sentence.

Question 3. Josh made 14 potholders. He put an equal number of potholders in each of 2 boxes. Write two related multiplication sentences to show how many potholders Josh made. ___ × ___ = ___ ___ × ___ = ___ Answer: 7 x 2 = 14 2 x 7 = 14 Explanation: Josh made 14 potholders. He put an equal number of potholders in each of 2 boxes. Two related multiplication sentences to show potholders 7 x 2 = 14; 2 x 7 = 14

Question 4. Lu Chen has 21 rocks in a collection. He puts the same number of rocks in each of 3 boxes. Draw an array to show how many rocks are in each box. Answer: 21 Explanation: Lu Chen has 21 rocks in a collection. He puts the same number of rocks in each of 3 boxes. Multiply 3 x 7 =21

Question 5. Serena makes 5 belts. Each belt has 4 beads. Serena writes 5 × 4 = 20 to show the number of beads. Write another multiplication sentence to show the number of beads. Answer: 20 Multiply 4 x 5 Explanation: Serena makes 5 belts. Each belt has 4 beads. Serena writes 5 × 4 = 20 to show the number of beads. Another multiplication sentence to show the number of beads. 4 x 5 = 20

Go Math Lesson 6.5 Commutative Property of Multiplication 3rd Grade Question 6. Dikembe has 3 packs of 10 baseball cards. He writes 3 × 10 = 30 to show the number of cards. Write another multiplication sentence to show the number of baseball cards. Answer: Multiply 10 x 3 Dikembe has 3 packs of 10 baseball cards. He writes 3 × 10 = 30 to show the number of cards. Another multiplication sentence to show the number of baseball cards. 10 x 3 = 30

Lesson Check

Texas Test Prep

Question 7. There are 7 vases with 5 flowers in each vase. Gina multiplies 7 × 5 to find the number of flowers. What is another way to find the number of flowers? (A) add 7 + 5 (B) add 5 + 7 (C) multiply 5 × 7 (D) multiply 7 × 7 Answer: Option (C) There are 7 vases with 5 flowers in each vase. Gina multiplies 7 × 5 to find the number of flowers. Another way to find the number of flowers 5 vases with 7 flowers 5 x 7 = 35

Question 8. A photo album has 8 pages with 6 photos on each page. Cory multiplies 8 × 6 to find the number of photos. What is another way to find the number of photos? (A) add 6 + 8 (B) multiply 6 × 8 (C) add 8 + 6 (D) multiply 6 × 6 Answer: Option (B) Explanation: A photo album has 8 pages with 6 photos on each page. 8 x 6 = 48 Another way to find the number of photos 6 rows of 8 6 x 8 = 48

Lesson 6.5 Commutative Property 3rd Grade Go Math Question 9. Demi has 36 toy cars. She puts them in 4 rows with 9 in each row. What is another way Demi can arrange the toy cars to show the Commutative Property of Multiplication? (A) 6 rows of 6 (B) 3 rows of 12 (C) 9 rows of 4 (D) 2 rows of 18 Answer: Option (A) Explanation: Demi has 36 toy cars. She puts them in 4 rows with 9 in each row. 4 x 9 = 36 Another way Demi can arrange the toy cars to show the Commutative Property of Multiplication 6 rows of 6 6 x 6 = 36

Go Math Grade 3 Lesson 6.5 Answer Key Question 11. Multi-Step Juan puts 3 rows of 5 stickers in a book. Then he puts 5 rows of 3 stickers on the next page. How many stickers does Juan put in the book? (A) 15 (B) 16 (C) 30 (D) 25 Answer: Option (C) Explanation: Juan puts 3 rows of 5 stickers in a book. Then he puts 5 rows of 3 stickers on the next page. Number of stickers Juan put in the book 3 x 5 = 15 + 5 x 3 = 15 15 + 15 = 30

Question 12. Multi-Step One classroom has 4 rows of 5 chairs. Another classroom has 5 rows of 4 chairs. How many chairs are there in both classrooms? (A) 20 (B) 19 (C) 25 (D) 40 Answer: Option (D) Explanation: One classroom has 4 rows of 5 chairs. Another classroom has 5 rows of 4 chairs. Total number of chairs in both classrooms 4 x 5 = 20 + 5 x 4 = 20 20 + 20 = 40

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Eureka Math Grade 6 Module 5 Lesson 5 Answer Key

Engage ny eureka math grade 6 module 5 lesson 5 answer key, eureka math grade 6 module 5 lesson 5 exercise answer key.

Opening Exercise:

Here is an aerial view of a woodlot.

Question 1. If AB = 10 units, FE = 8 units, AF = 6 units, and DE = 7 units, find the lengths of the other two sides. DC = BC = Answer: DC = 2 units BC = 13 units

Question 2. If DC = 10 units, FE = 30 units, AF = 28 units, and BC = 54 units, find the lengths of the other two sides. AB = DE = Answer: AB = 40 units DE = 26 units

Eureka Math Grade 6 Module 5 Lesson 5 Example Answer Key

Example 1: Decomposing Polygons into Rectangles

The Intermediate School is producing a play that needs a special stage built. A diagram of the stage is shown below (not to scale).

Question a. On the first diagram, divide the stage into three rectangles using two horizontal lines. Find the dimensions of these rectangles, and calculate the area of each. Then, find the total area of the stage. Answer: Dimensions: 2 m by 4m, 2 m by 4 m, and 7 m by 5 m Area: 2 m × 4m = 8 m 2 , 2 m × 4 m = 8 m 2 , 7 m × 5 m = 35 m 2 Total: 8 m 2 + 8 m 2 + 35 m 2 = 51 m 2

Question b. On the second diagram, divide the stage into three rectangles using two vertical lines. Find the dimensions of these rectangles, and calculate the area of each. Then, find the total area of the stage. Answer: Dimensions: 2 m by 9 m, 2 m by 9 m, and 3 m by 5 m Area: 2 m × 9 m = 18 m × 2 m × 9 m = 18 m 2 , 3 m × 5m = 15 m 2 Total: 51 m 2

i. What are the dimensions of the large rectangle and the small rectangle? Answer: Dimensions: 9 m by 7 m and 3 m by 4 m

ii. What are the areas of the two rectangles? Answer: Area: 9 m × 7 m = 63 m 2 , 3 m × 4 m = 12 m 2

iii. What operation Is needed to find the area of the original figure? Answer: Subtraction

iv. What is the difference in area between the two rectangles? Answer: 63 m 2 – 12 m 2 = 51 m 2

v. What do you notice about your answers to (a), (b), (c), and (d)? 7 m Answer: The area is the same.

vi. Why do you think this is true? Answer: No matter how we decompose the figure, the total area is the sum of its ports. Even if we take the area around the figure and subtract the part that is not included, the area of the figure remains the same, 51 m 2 .

Area of Rectangle 1: b . h 2m . 4m = 8m 2 Area of Rectangle 2: b . h 2 m 4m = 8 m 2 Area of Rectangle 3: b . h 7m 5m 35 m 2 Area of Polygon: 8m 2 + 8m 2 + 35 m 2 = 51 m 2

Area of Rectangle 1: b . h 9m . 2m = 18 m 2 Area of Rectangle 2: b . h 9m . 2m =18 m 2 Area of Rectangle 3: b . h 3m . 5m = 15 m 2 Area of Polygon: 18 m 2 + 18 m 2 + 15 m 2 = 51 m 2

Area of Rectangle: b . h 9m . 7 m = 63 m 2 Area of Missing Rectangle 2: b . h 3m . 4m = 12 m 2 Area of Polygon: 63 m 2 – 12 m 2 = 51 m 2

Example 2: Decomposing Polygons into Rectangles and Triangles

Triangle ABC A = \(\frac{1}{2}\) bh A = \(\frac{1}{2}\) (6 m) (4 m) A = 12 m 2 .

Triangle ACD A = \(\frac{1}{2}\) bh A = \(\frac{1}{2}\) (6m)(4m) A = 12 m 2

Triangle ABD A = \(\frac{1}{2}\) bh A = \(\frac{1}{2}\) (8m)(5m) A = 20 m 2

Triangle BCD A = \(\frac{1}{2}\) bh A = \(\frac{1}{2}\) (4 m) (5 m) A = 10 m 2

A = 20 m 2 + 10 m 2 = 30 m 2

Area of Rectangle; A = bh A = (8 m) (5 m) A = 40 m 2

Triangle 1 A = \(\frac{1}{2}\) bh A = \(\frac{1}{2}\) (3 m) (5 m) A = 7.5 m 2

Triangle 2 A = \(\frac{1}{2}\) bh A = \(\frac{1}{2}\) (1 m) (5 m) A = 2.5 m 2

A = 40 m 2 – 7.5 m 2 – 2.5 m 2 = 30 m 2 (or)

A = 40 m 2 – (7.5 m 2 + 2.5 m 2 ) = 30 m 2

Eureka Math Grade 6 Module 5 Lesson 5 Problem Set Answer Key

Area of Triangle 2 A = \(\frac{1}{2}\) bh A = \(\frac{1}{2}\) × 3 m × 18 m A = 27 m 2

Area of Trapezoid = Area of Triangle 1 + Area of Triangle 2 Area = 198 m 2 + 27 m 2 = 225 m 2

Area of Triangles 1 and 2 A = \(\frac{1}{2}\) bh A = \(\frac{1}{2}\) × 7.5 m × 12 m A = 45 m 2

Area of Trapezoid = Area of Rectangle – Area of Triangle 1 – Area of Triangle 2 A = 216 m 2 – 45 m 2 – 45 m 2 = 126 m 2

a. The windows and door will not be painted. Calculate the area of the wall that will be painted. Answer: Whole wall: 12 ft. × 8 ft. = 96 ft 2 Window: 2 ft. × 2 ft. = 4 ft 2 There are two identical windows, 4 ft 2 × 2 = 8 ft 2 Door: 6 ft. × 3 ft. = 18 ft 2 96 ft 2 – 8 ft 2 – 18 ft 2 = 70 ft 2

b. If a quart of Extra-Thick Gooey Sparkle paint covers 30 ft 2 . how many quarts must be purchased for the painting job? Answer: 70 ÷ 30 = 2\(\frac{1}{3}\) Therefore, 3 quarts must be purchased.

Question 6. The figure below shows a floor plan of a new apartment. New carpeting has been ordered, which will cover the living room and bedroom but not the kitchen or bathroom. Determine the carpeted area by composing or decomposing in two different ways, and then explain why they are equivalent.

Alternatively, the whole apartment is 45 ft. × 35 ft. = 1,575 ft 2 Subtracting the kitchen and bath (300 ft 2 and 200 ft 2 ) still gives 1,075 ft 2 . The two areas are equivalent because they both represent the area of the living room and bedroom.

Eureka Math Grade 6 Module 5 Lesson 5 Exit Ticket Answer Key

Area of Triangle 2 A = \(\frac{1}{2}\) bh A = \(\frac{1}{2}\) × 8 mi. × 10 mi. A = 40 mi 2

Area of Parallelogram = Area of Triangle 1 + Area of Triangle 2 A = 40 mi 2 + 40 mi 2 = 80 mi 2 The area of the parallelogram is 80 mi 2 .

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