Question

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

Answer 1

Answer:

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

Step-by-step 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

$64=2\times 2\times 2\times 2\times 2\times 2$

$96=2\times 2\times 2\times 2\times 2\times 3$

$GCF(64,96)=2\times 2\times 2\times 2\times 2$

$GCF(64,96)=32$

Taking 32 common,

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

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

$32(2+3)=32\times 2+32\times 3$

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

$32(2+3)=160$

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

Answer 2

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