Question

Jack broke apart 5x216 as (5x200)+(5x16) to multiply mentally. What strategy did Jack use?

Answer 1

The correct answer is:

He used the distributive property.

Step-by-step explanation:

To rewrite a product using the distributive property, break one of the numbers up into two smaller, easier to multiply numbers. In this problem, Jack broke 216 into (200+16). He then multiplied by 5:

5(200+16)

Using the distributive property, we multiply the number outside by both factors inside:

5(200) + 5(16) = 1000+80 = 1080

This makes the number easier to multiply quickly.

Answer 2

For this case we have the following multiplication:

`image`

We can rewrite this multiplication in the following way:

`image`

From here, we apply the distributive property.

We have then:

`image`

Therefore, Jack's strategy is:

Write the number in an expanded form and then apply the distributive property.

Answer:

Jack's strategy is:

Write the number in an expanded form and then apply the distributive property.