Question

Tori uses the greatest common factor and the distributive property to rewrite this sum:

24 + 84



What expression does Tori write?



4(6 + 21)

24(1 + 4)

12(2 + 7)

2(24 + 42)

Answer 1

12(2+7)

12 is the GCF for 24 with 12 x2 =24 and 12 is the GCF for 84 with 12 x7= 84.

Answer 2

Equation which Tori wrote is:

12(2 + 7)

Explanation:

24=12×2

84=12×7

gcd(24,84)=12

Distributive property says that if a,b and c are three elements then,

a(b+c)=ab+ac

24+84=12×2+12×7

= 12(2+7)

Hence, equation which Tori wrote is:

12(2 + 7)