Question

Rewrite the sum of 100 and 350 as the product of their GCF and another sum.

Answer 1

`50(2+7)`

Explanation:

the sum of 100 and 350 as the product of their GCF and another sum.

100+350

First we find the greatest common factor for both numbers 100 and 350

`100 -> 5 \cdot 5 \cdot 2 \cdot 2`

`350 -> 5 \cdot 5 \cdot 7 \cdot 2`

GCf is
`5 \cdot 5 \cdot 2=50`

Now we put the GCF 50 outside and divide both numbers by 50 and put it inside the parenthesis

`50((100)/(50) +(350)/(50) )`

`50(2+7)`

WE got the product of GCF and another sum as
`50(2+7)`

Answer 2

Solution:- The sum of 100 and 350 is 450

and The greatest common factor GCF, is the greatest factor that divides two numbers.

Therefore,

The great common factor (GCF) of 100 and 350 = 50

now the other sum will be 1+0+0+3+5+0 = 9

So According to the question

sum = GCF x another sum

⇒ 450 = 50 x 9