Question

Shonda wants to rewrite 24+924+9using the greatest common factor and the distributive property.Complete the statements below.CLEAR CHECKThe greatest common factor of 2424and 99is .Shonda can use the greatest common factor to rewrite 24+924+9as (8+(8+)).

Answer 1

24 + 9 =3(8+3)

Explanation:

Answer 2

Shonda can rewrite the expression as 24 + 9 =3(8+3)

First we find out the greatest common factor of 24 and 9.

since 24=3×8 and

9=3×3,

Here 3 is a factor of both 24 and 9

So the expression using the distributive property can be written as

24+9= 3×8 + 3×3

Take 3 common, we get

= 3(8 + 3)

As 24 + 9 = 33

and 3(8+3)=3(11)= 33

Both the expressions are equivalent.

Therefore, Shonda can rewrite the expression as 24 + 9 =3(8+3)