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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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McGraw Hill My Math Grade 3 Chapter 6 Lesson 1 Answer Key Patterns in the Multiplication Table

All the solutions provided in McGraw Hill Math Grade 3 Answer Key PDF Chapter 6 Lesson 1 Patterns in the Multiplication Table  will give you a clear idea of the concepts.

McGraw-Hill My Math Grade 3 Answer Key Chapter 6 Lesson 1 Patterns in the Multiplication Table

Math in My World

Example 1 Enrique noticed he could find the product of two factors in the multiplication table. What is the product of 2 × 3?

The black numbers in the table are products. The column and row of blue numbers are factors.

Example 2 Enrique found a pattern when he multiplied 4 by any factor.

Answer: The patten is 4, 8, 12, 16, 20, 24, 28, 32, 36, 40. The product of 4 and any number is even. The product of 4 and 5 is 20. The 20 has a sum of two equal numbers is 10 + 10. 10 + 10 = 20.

Example 3 Use a blue crayon to color the products with a factor of 3. What do you notice about these products? The list of products with a factor of ___ increase by ____. It is as if you are counting by 3s.

Guided Practice

Question 1. Use an orange crayon to color the products with a factor of 5. What do you notice about the products in this row and column? The products with a factor of ___ end in ___ or ___. Answer:

Independent Practice

Problem Solving

Question 8. Write the two number sentences that show the ways each boy packed the toy cars in Exercise 7. ____________________ Which property is this an example of? ____ Property of _____ Answer: The two number sentences are 3 x 4 = 12 4 x 3 = 12. It is a commutative property of multiplication.

HOT problems

Question 9. Mathematical PRACTICE 7 Identify Structure Write a real-world problem for which you can use the multiplication table and the Commutative Property of Multiplication to solve. Then solve. Answer: The real world problem is there are 9 ropes and you need 3 people per one rope. write the number sentence. The number sentence is 3 x 9 = 27. 9 x 3 = 27. It is commutative property of multiplication.

Question 10. ? Building on the Essential Question How can a multiplication table help you multiply? Answer: Multiplication table is used to define the multiplication operations for the algebraic system.

McGraw Hill My Math Grade 3 Chapter 6 Lesson 1 My Homework Answer Key

Question 1. Look at the products with a factor of 5. What pattern do you see? The products with a factor of 5 end in ____ or ____. Answer: The factors of 5 are 1 and 5. The products with a factor of 5 end in 0 and 5.

Question 2. Look at the products with a factor of 0. What do you notice? The products with a factor of 0 end in ____. Answer: The product with a factor 0 is 0. The product with a factor of 0 end in 0.

Question 5. Mathematical PRACTICES 4 Model Math Mason has 1 notebook for science and 1 notebook for reading. He put 9 stickers on each notebook. How many stickers did Mason use in all? Write two multiplication sentences. Answer: Given that, Mason has 1 notebook for science. And he has 1 notebook for reading. The total number of books are 2. He put 9 stickers on each notebook. The number of stickers in all is 9 x 2 = 18. The two multiplication sentences are 9 x 2 = 18. 2 x 9 = 18. Therefore there are 18 stickers in all.

Vocabulary Check

Test Practice

Question 7. Which property states the order in which two numbers are multiplied does not change the product? A. Associative Property of Addition B. Commutative Property of Multiplication C. Inverse Operations D. Identity Property of Addition Answer: In the commutative property of multiplication the order in which two numbers are multiplied does not change the product. Option B is the correct answer.