For this case we have the following multiplication:
[tex] 5 * 216
[/tex]
We can rewrite this multiplication in the following way:
[tex] 5 * (200 + 16)
[/tex]
From here, we apply the distributive property.
We have then:
[tex] (5 * 200) + (5 * 16)
[/tex]
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.
The correct answer is:
He used the distributive property.
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.
