McGraw Hill My Math Grade 3 Chapter 9 Check My Progress Answer Key

All the solutions provided in McGraw Hill My Math Grade 3 Answer Key PDF Chapter 9 Check My Progress will give you a clear idea of the concepts.

McGraw-Hill My Math Grade 3 Chapter 9 Check My Progress Answer Key

Check My Progress Page No. (525 – 526)

Vocabulary Check

Choose the correct word(s) to complete each sentence.

Associative Property of Multiplication
Distributive Property
decompose
parentheses

Question 1.
McGraw Hill My Math Grade 3 Chapter 9 Check My Progress Answer Key 1
One way to find 4 Ă— 7 with models is to _______________ the factor 7 into addends of 5 + 2.
Answer: One way to find 4 Ă— 7 with models is to decompose the factor 7 into addends of 5 + 2.

Explanation:
Distributive property allows you to decompose one factor into addends that are easier to multiply.
Given, 4 Ă— 7 = ?
4 Ă— 7 = (4 Ă— 5) + (4 Ă— 2)
28 = 20 + 8
28 = 28.
So, Distributive property allows you to decompose one factor into addends that are easier to multiply.

Question 2.
McGraw Hill My Math Grade 3 Chapter 9 Check My Progress Answer Key 2
The _______________ allows you to decompose one factor into addends that are easier to multiply. Then you can use smaller known facts to find products.
Answer: The Distributive property allows you to decompose one factor into addends that are easier to multiply. Then you can use smaller known facts to find products.

Explanation:
Given, 8 Ă— 6 = ( 8 Ă— 3 ) + ( 8 Ă— 3 )
48 = 24 + 24
48 = 48
So, To decompose is to break down numbers into parts.

Question 3.
(2 Ă— 3) Ă— 4 = 24
2 Ă— (3 Ă— 4) = 24
The _____________ states that the grouping of the factors does not change the product.
Answer: The Associative Property of Multiplication states that the grouping of the factors does not change the product.

Explanation:
The associative property gets its name from the word “Associate” and it refers to the grouping of numbers. This property states that when three or more numbers are added (or multiplied), the sum(or product) is the same regardless of the grouping of the addends (or multiplicands).
Given, (2 Ă— 3) Ă— 4 = 24
2 Ă— (3 Ă— 4) = 24
So, Associative Property of Multiplication is used here.

Question 4.
McGraw Hill My Math Grade 3 Chapter 9 Check My Progress Answer Key 3
The _____________ shows the grouping of the factors to multiply first.
Answer: The parentheses shows the grouping of the factors to multiply first.

Explanation:
Given, (2 Ă— 3 ) Ă— 4 = 24
6 Ă— 4 = 24
The parentheses shows the grouping of the factors to multiply first.

Concept Check

Use the Distributive Property to find each product.

Question 5.
McGraw Hill My Math Grade 3 Chapter 9 Check My Progress Answer Key 4
Answer: McGraw Hill My Math Grade 3 Chapter 9 Check My Progress Answer Key.10

Explanation:
By using Distributive property we get,
9 Ă— 6 = ( 9 Ă— 3 ) + ( 9 Ă— 3 )
54 = 27 + 27
54 = 54
So, Distributive property allows you to decompose one factor into addends that are easier to multiply.

Question 6.
McGraw Hill My Math Grade 3 Chapter 9 Check My Progress Answer Key 5
Answer:  McGraw Hill My Math Grade 3 Chapter 9 Check My Progress Answer Key.11

Explanation:
By using Distributive property we get,
7 Ă— 6 = ( 7 Ă— 3 ) + ( 7 Ă— 3 )
42 = 21 + 21
42 = 42
So, Distributive property allows you to decompose one factor into addends that are easier to multiply.

Find each product.

Question 7.
3 Ă— (4 Ă— 2) = _______________
Answer: 3 Ă— (4 Ă— 2) = 24

Explanation:
By using Associative property,
3 Ă— (4 Ă— 2) = ( 3 Ă— 4 ) Ă— 2
24 = 24
So, This property states that when three or more numbers are added (or multiplied), the sum(or product) is the same regardless of the grouping of the addends (or multiplicands).

Question 8.
2 Ă— (3 Ă— 2) = ________________
Answer: 2 Ă— (3 Ă— 2) = 12

Explanation:
By using Associative property,
2 Ă— (3 Ă— 2) = ( 2 Ă— 3 ) Ă— 2
12 = 12
So, This property states that when three or more numbers are added (or multiplied), the sum(or product) is the same regardless of the grouping of the addends (or multiplicands).

Question 9.
(5 Ă— 2) Ă— 1 = _______________
Answer: (5 Ă— 2) Ă— 1 = 10

Explanation:
By using Associative property,
5 Ă— (2 Ă— 1) = ( 5 Ă— 2 ) Ă— 1
10 = 10
So, This property states that when three or more numbers are added (or multiplied), the sum(or product) is the same regardless of the grouping of the addends (or multiplicands).

Question 10.
(2 Ă— 3) Ă— 3 = ______________
Answer: (2 Ă— 3) Ă— 3 = 18

Explanation:
By using Associative property,
2 Ă— (3 Ă— 3) = ( 2 Ă— 3 ) Ă— 3
18 = 18
So, This property states that when three or more numbers are added (or multiplied), the sum(or product) is the same regardless of the grouping of the addends (or multiplicands).

Question 11.
4 Ă— (2 Ă— 3) = ______________
Answer: 4 Ă— (2 Ă— 3) = 24

Explanation:
By using Associative property,
4 Ă— (2 Ă— 3) = ( 4 Ă— 2 ) Ă— 3
24 = 24
So, This property states that when three or more numbers are added (or multiplied), the sum(or product) is the same regardless of the grouping of the addends (or multiplicands).

Question 12.
(3 Ă— 3) Ă— 2 = _______________
Answer: (3 Ă— 3) Ă— 2 = 18

Explanation:
By using Associative property,
3 Ă— (3 Ă— 2) = ( 3 Ă— 3 ) Ă— 2
18 = 18
So, This property states that when three or more numbers are added (or multiplied), the sum(or product) is the same regardless of the grouping of the addends (or multiplicands).

Algebra Find each missing factor.

Question 13.
(4 Ă— McGraw Hill My Math Grade 3 Chapter 9 Check My Progress Answer Key 6) Ă— 3 = 24
McGraw Hill My Math Grade 3 Chapter 9 Check My Progress Answer Key 6 = _______________
Answer: The missing factor is 2

Explanation;
Given, (4 Ă— McGraw Hill My Math Grade 3 Chapter 9 Check My Progress Answer Key 6) Ă— 3 = 24
Let the unknown be y
4 Ă— y Ă— 3 = 24
12y = 24
y = 2
So, The missing factor is 2

Question 14.
(3 Ă— McGraw Hill My Math Grade 3 Chapter 9 Check My Progress Answer Key 6) Ă— 3 = 27
McGraw Hill My Math Grade 3 Chapter 9 Check My Progress Answer Key 6 = _______________
Answer: The missing factor is 3

Explanation:
Given, (3 Ă— McGraw Hill My Math Grade 3 Chapter 9 Check My Progress Answer Key 6) Ă— 3 = 27
Let the unknown be y
3 Ă— y Ă— 3 = 27
9y = 27
y = 3
So, The missing factor is 3

Problem Solving

Question 15.
Amanda wrote 3 stories in Writer’s Workshop. Each story was 6 pages long. She drew 2 illustrations on each page. How many illustrations did Amanda draw altogether?
Answer: Amanda drew 36 illustrations altogether.

Explanation:
Given, Amanda wrote 3 stories in Writer’s Workshop.
Each story was 6 pages long. She drew 2 illustrations on each page.
Then, 3 Ă— ( 6 Ă— 2 ) = 3 Ă— 12 = 36
So, Amanda drew 36 illustrations altogether.

Question 16.
Mrs. Andrew’s classroom has 4 rows of desks with 3 desks in each row. She placed 2 pencils on each desk. How many pencils did Mrs. Andrew place on the desks altogether?
Answer: Mrs. Andrew placed 24 pencils on the desks altogether

Explanation:
Given, Mrs. Andrew’s classroom has 4 rows of desks with 3 desks in each row.
She placed 2 pencils on each desk.
Then , 4 Ă— ( 3 Ă— 2 ) = 12 Ă— 2 = 24
So, Mrs. Andrew placed 24 pencils on the desks altogether.

Test Practice

Question 17.
Becka made 2 cards. She drew 3 balloons on each card. Each balloon had 3 stars. How many stars did Becka use on her cards altogether?
(A) 15 stars
(B) 16 stars
(C) 17 stars
(D) 18 stars
Answer: D, 18 stars

Explanation:
Given, Becka made 2 cards. She drew 3 balloons on each card. Each balloon had 3 stars.
Then, 2 Ă— ( 3 Ă— 3 ) = 6 Ă— 3 = 18
So, Becka used 18 stars on her cards altogether.

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