Question

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

Answer 1

1.) 127(30+2) = 3810+254=4064

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

Answer 2

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*32=(100+27)* 32`

Apply distributive property,

`127*32=100* 32+27* 32`

`127*32=3200+864`

`127*32=4064`

2) Split 32 as 30+2

`127*32=127* (30+2)`

Apply distributive property,

`127*32=127* 30+127* 2`

`127*32=3810+254`

`127*32=4064`