Question

Oliver uses the greatest common factor and distributive property to rewrite this sum: 64+96

Answer 1

32(2+3) because 32 goes into 64 twice and 96 three times

Answer 2

`64+96=32(2+3)=160`

Explanation:

Given : Expression
`64+96`

To find : Oliver uses the greatest common factor and distributive property to rewrite this sum ?

Solution :

The greatest common factor of 64 and 96 is

`64=2* 2* 2* 2* 2* 2`

`96=2* 2* 2* 2* 2* 3`

`GCF(64,96)=2* 2* 2* 2* 2`

`GCF(64,96)=32`

Taking 32 common,

`64+96=32(2+3)`

Apply distributive property,
`(a+b)c=ac+bc`

`32(2+3)=32* 2+32* 3`

`32(2+3)=64+96`

`32(2+3)=160`

Therefore,
`64+96=32(2+3)=160`