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McGraw-Hill Math Grade 3 Answer Key Chapter 6 Lesson 7 Grouping Numbers to Multiply
Solve
Use ( ) to group the factors in two different ways. Find each product.
Question 1.
2 × 1 × 6 = (2 × 1); 12
2 × 1 × 6 = (1 × 6); 12
Question 2.
5 × 2 × 4 = ____
5 × 2 × 4 = ___
Answer:
5 × 2 × 4 = (5 x 2); 40
5 × 2 × 4 = (2 x 4); 40
Explanation:
One way:
5 x 2 x 4
= (5 x 2) x 4
= 10 x 4
= 40
Other way:
5 x 2 x 4
= 5 x (4 x 2)
= 5 x 8
= 40
So, 5 x 2 x 4 = 40.
Question 3.
1 × 7 × 6 = ___
1 × 7 × 6 = ___
Answer:
1 x 7 x 6 = (1 x 7); 42
1 x 7 x 6 = (7 x 6); 42
Explanation:
One way:
1 x 7 x 6
= (1 x 7) x 6
= 7 x 6 = 42
Other way:
1 x 7 x 6
= 1 x (7 x 6)
= 1 x 42 = 42
So, 1 x 7 x 6 = 42.
Write the missing factor.
Question 4.
(5 × 1) × 8 = __ × (1 × 8)
Answer:
(5 × 1) × 8 = 5 × (1 × 8)
Explanation:
I does not matter how we group the factors, the products will be same
If the products will be same the numbers will be same
So, the missing factor is 5.
Question 5.
3 × (3 × 1) = (3 × ___) × 1
Answer:
3 × (3 × 1) = (3 × 3) × 1
Explanation:
I does not matter how we group the factors, the products will be the same
If the products will be the same the numbers will be the same
So, the missing factor is 3.
Question 6.
(2 × 2) × 4 = 2 × (2 × ___)
Answer:
(2 × 2) × 4 = 2 × (2 × 4)
Explanation:
It does not matter how we group the factors, the products will be the same
If the products will be the same the numbers will be the same
So, the missing factor is 4.
Question 7.
An octopus has 4 pairs of arms. How many arms do 3 octopuses have? Write a multiplication sentence with three factors using ( ). Then solve.
Answer:
(4 x 2) x 3 = 24
Explanation:
An octopus has 4 pairs of arms, that is 4 x 2
3 octopuses will have
The multiplication sentence with three factors using ( ) is (4 x 2) x 3
Solve:
(4 x 2) x 3
= 8 x 3
= 24
So, 3 octopuses will have 24 arms.