McGraw Hill My Math Grade 4 Chapter 3 Lesson 6 Answer Key The Associative Property of Multiplication

All the solutions provided in McGraw Hill Math Grade 4 Answer Key PDF Chapter 3 Lesson 6 The Associative Property of Multiplication will give you a clear idea of the concepts.

McGraw-Hill My Math Grade 4 Answer Key Chapter 3 Lesson 6 The Associative Property of Multiplication

Math in My World

Example 1
There are 2 video games in each value pack. There are 6 value packs in each box. If Raul buys 3 boxes for his collection, how many video games will he have?
McGraw Hill My Math Grade 4 Chapter 3 Lesson 6 Answer Key The Associative Property of Multiplication 1
You need to find 2 × 6 × 3. There are two ways to group the numbers.

One Way
Multiply 2 × 6 first.
McGraw Hill My Math Grade 4 Chapter 3 Lesson 6 Answer Key The Associative Property of Multiplication 2
Helpful Hint
Use repeated addition to find 12 × 3. ____
12 + 12 + 12 = McGraw Hill My Math Grade 4 Chapter 3 Lesson 6 Answer Key The Associative Property of Multiplication 4
= McGraw Hill My Math Grade 4 Chapter 3 Lesson 6 Answer Key The Associative Property of Multiplication 4
Another Way
Multiply 6 × 3 first.
McGraw Hill My Math Grade 4 Chapter 3 Lesson 6 Answer Key The Associative Property of Multiplication 3

Helpful Hint
Use repeated addition to find 18 × 2.
18 + 18 = McGraw Hill My Math Grade 4 Chapter 3 Lesson 6 Answer Key The Associative Property of Multiplication 4
= McGraw Hill My Math Grade 4 Chapter 3 Lesson 6 Answer Key The Associative Property of Multiplication 4
So, Raul will have ____ video games.

Answer:
There are 2 video games in each value pack.
There are 6 value packs in each box.
Raul buys 3 boxes.
Using the Associative Property of Multiplication
First multiply 2 x 6.
McGraw-Hill-My-Math-Grade-4-Chapter-3-Lesson-6-Answer-Key-The-Associative-Property-of-Multiplication-2
Using the  repeated addition 12 × 3 is
12 + 12 + 12 = 36.
The another way is 6 x 3 first.
McGraw-Hill-My-Math-Grade-4-Chapter-3-Lesson-6-Answer-Key-The-Associative-Property-of-Multiplication-3
Using the repeated addition 18 × 2 is
18 + 18 = 36.
So, Raul will have 36 video games.
Helpful Hint

Example 2
Use the Associative Property of Multiplication to find 9 × 2 × 4.
McGraw Hill My Math Grade 4 Chapter 3 Lesson 6 Answer Key The Associative Property of Multiplication 5

Helpful Hint
Parentheses () tell you which numbers to multiply first

Answer:
McGraw-Hill-My-Math-Grade-4-Chapter-3-Lesson-6-Answer-Key-The-Associative-Property-of-Multiplication-5

Talk Math
Identify the order that makes it easier to multiply the factors in 9 × 4 × 2. Explain.
McGraw Hill My Math Grade 4 Chapter 3 Lesson 6 Answer Key The Associative Property of Multiplication 6

Answer:
To multiply the factors 9 x 4 x 2 you can use associative property of multiplication.
In this first multiply 9 x 4 or 4 x 2.
9 x 4 = 36
36 x 2 = 72.
or
4 x 2 = 8.
9 x 8 = 72.

Guided Practice

Multiply. Use the Associative Property.

Question 1.
McGraw Hill My Math Grade 4 Chapter 3 Lesson 6 Answer Key The Associative Property of Multiplication 7
Answer:
Using the Associative property of multiplication
First multiply 3 x 3.
3 x 3 = 9.
Then 5 x 9 = 45.
McGraw-Hill-My-Math-Grade-4-Chapter-3-Lesson-6-Answer-Key-The-Associative-Property-of-Multiplication-7
Therefore the product is 45.

Question 2.
McGraw Hill My Math Grade 4 Chapter 3 Lesson 6 Answer Key The Associative Property of Multiplication 8
Answer:
Using the Associative property of multiplication
First multiply 4 x 2.
Multiplication of 4 with 2 then you get 8.
4 x 2 = 8.
Then 8 x 7 = 56.
McGraw-Hill-My-Math-Grade-4-Chapter-3-Lesson-6-Answer-Key-The-Associative-Property-of-Multiplication-8
Therefore the product is 56.

Question 3.
McGraw Hill My Math Grade 4 Chapter 3 Lesson 6 Answer Key The Associative Property of Multiplication 9
Answer:
Using the Associative property of multiplication
First multiply 3 x 1.
Multiplication of 3 with 1 then you get 3.
3 x 1 = 3.
Then 3 x 6 = 18.
McGraw-Hill-My-Math-Grade-4-Chapter-3-Lesson-6-Answer-Key-The-Associative-Property-of-Multiplication-9
Therefore the product is 18.

Independent Practice

Multiply. Use the Associative Property.

Question 4.
6 × 1 × 5 = ____
Answer:
Using the associative property.
(6 x 1) x 5 = 6 x (1 x 5)
6 x 5 = 6 x 5
30 = 30.
Therefore the product is 30.

Question 5.
2 × 2 × 7 = ____
Answer:
Using the associative property.
(2 x 2) x 7 = 2 x (2 x 7)
4 x 7 = 2 x 14.
28 = 28.
Therefore the product is 28.

Question 6.
7 × 5 × 2 = ___
Answer:
Using the associative property.
(7 x 5) x 2 = 7 x (5 x 2)
35 x 2 = 7 x 10.
70 = 70.
Therefore the product is 70.

Question 7.
10 × 2 × 5 = ____
Answer:
Using the associative property.
(10 x 2) x 5 = 10 x (2 x 5)
20 x 5 = 10 x 10.
100 = 100.
Therefore the product is 100.

Question 8.
9 × 3 × 3 = ____
Answer:
Using the associative property.
(9 x 3) x 3 = 9 x (3 x 3)
27 x 3 = 9 x 9.
81 = 81
Therefore the product is 81.

Question 9.
6 × 2 × 2 = ___
Answer:
Using the associative property.
(6 x 2) x 2 = 6 x (2 x 2)
12 x 2 = 6 x 4.
24 = 24.
Therefore the product is 24.

Question 10.
2 × 3 × 7 = ____
Answer:
Using the associative property.
(2 x 3) x 7 = 2 x (3 x 7)
6 x 7 = 2 x 21
42 = 42.
Therefore the product is 42.

Question 11.
9 × 2 × 4 = ____
Answer:
Using the associative property.
(9 x 2) x 4 = 9 x (2 x 4)
18 x 4 = 9 x 8.
72 = 72.
Therefore the product is 72.

Question 12.
5 × 1 × 10 = ____
Answer:
Using the associative property.
5 x (1 x 10) = (5 x 1) x 10.
5 x 10 = 5 x 10.
50 = 50.
Therefore the product is 50.

Compare. Use >, <, or =.

Question 13.
4 × 2 × 9 McGraw Hill My Math Grade 4 Chapter 3 Lesson 6 Answer Key The Associative Property of Multiplication 10 7 × 4 × 2
Answer:
Using the associative property.
4 x (2 x 9) = (4 x 2) x 9.
4 x 18 = 8 x 9
72 = 72.
The product is 72.
And
(7 x 4) x 2 = 7 x (4 x 2)
28 x 2 = 7 x 8.
56 = 56.
The product is 56.
4 × 2 × 9 > 7 × 4 × 2.

Question 14.
6 × 2 × 6 McGraw Hill My Math Grade 4 Chapter 3 Lesson 6 Answer Key The Associative Property of Multiplication 10 5 × 2 × 8
Answer:
Using the associative property.
6 x (2 x 6) = (6 x 2) x 6.
6 x 12 = 12 x 6
72 = 72.
The product is 72.
And
(5 x 2) x 8 = 5 x (2 x 8)
10 x 8 = 5 x 16.
80 = 80.
The product is 80.
6 × 2 × 6 < 5 × 2 × 8

Find the value of each number sentence if McGraw Hill My Math Grade 4 Chapter 3 Lesson 6 Answer Key The Associative Property of Multiplication 11 = 2, McGraw Hill My Math Grade 4 Chapter 3 Lesson 6 Answer Key The Associative Property of Multiplication 12 = 3, and McGraw Hill My Math Grade 4 Chapter 3 Lesson 6 Answer Key The Associative Property of Multiplication 13 = 4.

Question 15.
5 × 1 × McGraw Hill My Math Grade 4 Chapter 3 Lesson 6 Answer Key The Associative Property of Multiplication 13 = ____
Answer:
Given object = 4.
5 x 1 x 4.
Using the associative property of multiplication.
(5 x 1) x 4 = 5 x (1 x 4)
5 x 4 = 5 x 4.
20 = 20.
Therefore the product is 20.

Question 16.
6 × McGraw Hill My Math Grade 4 Chapter 3 Lesson 6 Answer Key The Associative Property of Multiplication 11 × 3 = ___
Answer:
The object = 2
6 x 2 x 3.
Using the associative property of multiplication.
(6 x 2) x 3 = 6 x (2 x 3)
12 x 3 = 6 x 6
36 = 36.
Therefore the product is 36.

Question 17.
McGraw Hill My Math Grade 4 Chapter 3 Lesson 6 Answer Key The Associative Property of Multiplication 12 × 3 × McGraw Hill My Math Grade 4 Chapter 3 Lesson 6 Answer Key The Associative Property of Multiplication 13 = _____
Answer:
Given that,
Smiley = 3.
Star = 4.
3 x 3 x 4.
Using the associative property of multiplication.
3 x (3 x 4) = (3 x 3) x 4.
3 x 12 = 9 x 4.
36 = 36.
Therefore the product is 36.

Algebra Find the unknown number.

Question 18.
4 × McGraw Hill My Math Grade 4 Chapter 3 Lesson 6 Answer Key The Associative Property of Multiplication 17 × 1 = 12
McGraw Hill My Math Grade 4 Chapter 3 Lesson 6 Answer Key The Associative Property of Multiplication 17 = ____
Answer:
4 x 1 = 12.
4 = 12.
12/4 = 3.
So, 4 x 3 x 1 = 12.
Using the associative  property.
4 x (3 x 1) = (4 x 3) x 1
4 x 3 = 12 x 1
12 = 12.
Therefore the product is 12.
The unknown is 3.

Question 19.
2 × 5 × McGraw Hill My Math Grade 4 Chapter 3 Lesson 6 Answer Key The Associative Property of Multiplication 17 = 60
McGraw Hill My Math Grade 4 Chapter 3 Lesson 6 Answer Key The Associative Property of Multiplication 17 = ____
Answer:
2 x 5 = 60.
10 = 60.
60/10 = 6.
2 x 5 x 6 = 60.
Using the associative property of multiplication.
2 x (5 x 6) = (2 x 5) x 6
2 x 30 = 10 x 6.
60 = 60.
The product = 60.
The unknown = 6.

Question 20.
McGraw Hill My Math Grade 4 Chapter 3 Lesson 6 Answer Key The Associative Property of Multiplication 17 × 3 × 4 = 24
McGraw Hill My Math Grade 4 Chapter 3 Lesson 6 Answer Key The Associative Property of Multiplication 17 = ____
Answer:
3 x 4 = 24.
12 = 24.
24/12 = 2.
So, 2 x 3 x 4 = 24.
2 x (3 x 4) = (2 x 3) x 4
2 x 12 = 6 x 4.
24 = 24.
The product is 24.
The unknown is 2.

Problem Solving

Write a number sentence to solve.

Question 21.
Gabriel is training for a race. On days that he jogs, he jogs 2 miles. His exercise schedule is shown. How many miles will he jog in 6 weeks?
McGraw Hill My Math Grade 4 Chapter 3 Lesson 6 Answer Key The Associative Property of Multiplication 15
Answer:
Given that,
He jogs 2 miles on day.
He jogs on Monday, Tuesday, Thursday, Saturday.
The number of days are 4.
The number of weeks are 6.
So, 2 x 4 x 6
Using the commutative property of multiplication.
(2 x 4) x 6 = 2 x (4 x 6)
8 x 6 = 2 x 24
48 = 48
Therefore Gabriel jogs 48 miles.

Question 22.
Mathematical PRACTICE 4 Model Math Bianca bikes 2 miles to her grandfather’s house and 2 miles back to her house 5 times each month. How many miles does she bike each month?
McGraw Hill My Math Grade 4 Chapter 3 Lesson 6 Answer Key The Associative Property of Multiplication 16
Answer:
Given that,
Bianca bikes 2 miles to her grandfather’s house.
And 2 miles back to her house 5 times each month.
So, the number of miles in each month is 2 x 2 x 5.
Using the associative property of multiplication
(2 x 2) x 5 = 2 x (2 x 5)
4 x 5 = 2 x 10.
20 = 20.
Therefore the numbers of miles in each month she bike is 20.

HOT Problems

Question 23.
Mathematical Practice 2 Reason Circle the equation that does not belong with the other three. Explain.
4 × McGraw Hill My Math Grade 4 Chapter 3 Lesson 6 Answer Key The Associative Property of Multiplication 17 × 7 = 56 5 × 2 × McGraw Hill My Math Grade 4 Chapter 3 Lesson 6 Answer Key The Associative Property of Multiplication 17 = 40 McGraw Hill My Math Grade 4 Chapter 3 Lesson 6 Answer Key The Associative Property of Multiplication 17 × 3 × 9 = 54 4 × McGraw Hill My Math Grade 4 Chapter 3 Lesson 6 Answer Key The Associative Property of Multiplication 17 × 5 = 40
Answer:
4 x 2 x 7 = 56.
4 x (2 x 7) = (4 x 2) x 7
5 x 2 x 4 = 40.
5 x (2 x 4) = (5 x 2) x 4
2 x 3 x 9 = 54.
2 x (3 x 9) = (2 x 3) x 9
4 x 2 x 5 = 40.
4 x (2 x 5) = (4 x 2) x 5
Among the four equations 2 x 3 x 9 = 54 is different
So, circle the equation 2 x 3 x 9.
McGraw-Hill-My-Math-Grade-4-Chapter-3-Lesson-6-Answer-Key-The-Associative-Property-of-Multiplication-18-1

Question 24.
? Building on the Essential Question How does the Associative Property of Multiplication help you to calculate products mentally?
Answer:
In the associative property of multiplication in which way we multiply the factors in group we get the same product.
Suppose we have 2 x 3 x 4.
First multiply 2 x 3 = 6
Then multiply 6 x 4 = 24.
or
First multiply (3 x 4)
3 x 4 = 12.
Then Multiply 12 x 2 = 24.
In which way we can multiply you get the same product.

McGraw Hill My Math Grade 4 Chapter 3 Lesson 6 My Homework Answer Key

Practice

Multiply. Use the Associative Property.

Question 1.
5 × 2 × 7 = ____
Answer:
Using the associative property of multiplication
(5 x 2) x 7 = 5 x (2 x 7)
10 x 7 = 5 x 14.
70 = 70.
Therefore the product is 70.

Question 2.
8 × 3 × 2 = ____
Answer:
Using the associative property of multiplication.
8 x (3 x 2) = (8 x 3) x 2.
8 x 6 = 24 x 2
48 = 48.
Therefore the product is 48.

Question 3.
4 × 2 × 5 = ____
Answer:
Using the associative property of multiplication.
4 x (2 x 5) = (4 x 2) x 5
4 x 10 = 8 x 5
40 = 40.
Therefore the product is 40.

Algebra Find the unknown in each equation.

Question 7.
4 × ___ × 8 = 64
Answer:
4 x 8 = 64.
32 = 64
64/32 = 2.
So, 4 x 2 x 8 = 64.
Therefore the unknown is 2.

Question 8.
3 × 4 × ____ = 120
Answer:
3 x 4 = 120.
12 = 120.
120/12 = 10.
3 x 4 x 10 = 120.
Therefore the unknown is 120.

Question 9.
4 × 2 × ____ = 40
Answer:
4 x 2 = 40.
8 = 40.
40/8 = 5.
So, 4 x 2 x 5 = 40.
Therefore the unknown is 5.

Question 10.
6 × 2 × ___ = 96
Answer:
6 x 2 = 96.
12  = 96
96/12 = 8.
So, 6 x 2 x 8 = 96.
Therefore the unknown is 8.

Problem Solving

Mathematical PRACTICE 2 Use Algebra Write an equation to solve.

Question 11.
A bus seats 4 people in a row, and there are 12 rows. How many people would fit on 2 buses?
Answer:
Given that,
A bus seats 4 people in a row.
The number of rows are 12.
The number of buses are 2.
So, the number of people are 4 x 12 x 2 = 96.
Therefore the number of people fit on 2 buses is 96.

Question 12.
Lucy’s pet snake eats 2 mice twice a week. How many mice will the snake eat in 6 weeks?
Answer:
Given that,
Lucy’s pet snake eats 2 mice twice a week.
Number of weeks equal to 6.
So, the number of mice is 2 x 2 x 6 = 24.
Therefore the Lucy’s pet snake eat 24 mice in 6 weeks.

Question 13.
Tyler delivers newspapers. He collected $10 from each customer. He has 5 customers on each street, and he delivers to 4 different streets. How much money did Tyler collect?
Answer:
Given that,
He collected $10 from each customer.
He has 5 customers on each street, and he delivers to 4 different streets.
So, Tyler collects is $10 x 5 x 4 = $10 x 20 = $200.
Therefore Tyler collects $200.

Vocabulary Check

Draw a line to match each property with the equation that represents it.

McGraw Hill My Math Grade 4 Chapter 3 Lesson 6 Answer Key The Associative Property of Multiplication 18
Answer:
McGraw-Hill-My-Math-Grade-4-Chapter-3-Lesson-6-Answer-Key-The-Associative-Property-of-Multiplication-18-1

Test Practice

Question 16.
Emerson runs 2 miles to her friend’s house and 2 miles back to her house 5 times each month. How many miles does she run?
A. 9 miles
B. 10 miles
C. 20 miles
D. 50 miles
Answer:
Given that,
Emerson runs 2 miles to her friend’s house.
Emerson runs 2 miles back to her house 5 times each month.
So, the number of miles that she run is 2 x 2 x 5 = 20.
Therefore she runs 20 miles.
Option C is the correct answer.

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