Question

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) 0 78 = 11 + 67 = (1 × 11) + (1 × 67) = 1 (11 × 67) 078=24+54=(6x4) + (6x9) = 6(4x 9) 0 78 = 22 + 56 = (2 × 11) + (2 × 28) = 2 (11 × 28) 0 78=18 + 60 = (6 × 3) + (6 × 10) = 6 (3 + 10)

Answer 1

To rewrite the number 78 using the Distributive Property of Multiplication over Addition, we should express 78 as a sum of two numbers and then factor out a common factor.

The correct way to rewrite 78 using the Distributive Property from the provided options is:

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

This is indeed a correct application of the Distributive Property because it shows how to express 78 as a sum (18 + 60) and then factors out the common multiplier of 6. Thus:

78 = 6(3 + 10)

So the answer is: 78 = 18 + 60 = (6 × 3) + (6 × 10) = 6(3 + 10)