Question

Use the distributive property in two different ways to find the product of 127 and 32.

Answer 1

Answer and explanation:

Use the distributive property in two different ways to find the product of 127 and 32.

Distributive property says that,

$a(b+c)=ab+ac$

We have to find product of 127 and 32,

1) Split 127 as 100+27

$127\times32=(100+27)\times 32$

Apply distributive property,

$127\times32=100\times 32+27\times 32$

$127\times32=3200+864$

$127\times32=4064$

2) Split 32 as 30+2

$127\times32=127\times (30+2)$

Apply distributive property,

$127\times32=127\times 30+127\times 2$

$127\times32=3810+254$

$127\times32=4064$

Answer 2

1.)   127(30+2) = 3810+254=4064

2.) 32(100+20+7)= 3200+640+224=4064