Mei is playing a game with numbers. She decides to rewrite the number 78 using the Distributive Property. Which answer is a correct way to rewrite 78 using the Distributive Property of Multiplication over Addition?(1 point)

Question

Responses

78=18+60=(6×3)+(6×10)=6(3+10)
78 equals 18 plus 60 equals left parenthesis 6 times 3 right parenthesis plus left parenthesis 6 times 10 right parenthesis equals 6 left parenthesis 3 plus 10 right parenthesis

78=11+67=(1×11)+(1×67)=1(11×67)
78 equals 11 plus 67 equals left parenthesis 1 times 11 right parenthesis plus left parenthesis 1 times 67 right parenthesis equals 1 left parenthesis 11 times 67 right parenthesis

78=22+56=(2×11)+(2×28)=2(11×28)
78 equals 22 plus 56 equals left parenthesis 2 times 11 right parenthesis plus left parenthesis 2 times 28 right parenthesis equals 2 left parenthesis 11 times 28 right parenthesis

78=24+54=(6×4)+(6×9)=6(4×9)

Answer 1

The correct way to rewrite the number 78 using the Distributive Property of Multiplication over Addition is:

78 = 18 + 60 = (6 × 3) + (6 × 10) = 6(3 + 10)

This expression correctly represents the number 78 and demonstrates the Distributive Property by factoring out the common factor of 6.

The other options either do not correctly add up to 78 or do not appropriately apply the Distributive Property.