Question

Rewrite using the Distributive property and the GCF.
1) 42+36

2) 18+27

3) 40+60​

Answer 1

The resulting expressions using the Distributive property and the GCF are as follows;

• 42+36 = 6(7 + 6)

• 18 + 27 = 9(2+ 3)

• 40 + 60 = 20(2+3)

According to distributive property,

A(B + C)  = AB + AC

This shows that A is distributed over B and C

For the sum of values 42+36

42+36 = 6(7) + 6(6)

42+36 = 6(7 + 6)

2) For the expression 18 + 27

18 + 27 = 9(2) + 9(3)

18 + 27 = 9(2+ 3)

3) For the expression 40 + 60

40+60 = (20*2) + (20*3)

40 + 60 = 20(2+3)

Hence the resulting expressions using the Distributive property and the GCF are as follows;

• 42+36 = 6(7 + 6)

• 18 + 27 = 9(2+ 3)

• 40 + 60 = 20(2+3)

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