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=24+54=(6×4)+(6×9)=6(4×9)
78 equals 24 plus 54 equals left parenthesis 6 times 4 right parenthesis plus left parenthesis 6 times 9 right parenthesis equals 6 left parenthesis 4 times 9 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=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 need to express 78 as the sum of two numbers and then show how it fits the property.

The correct statement from the options given is:

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

Here’s the breakdown:

• 78 is correctly represented as 18 + 60.
• Then, we factor out the common term of 6 from both parts: \( (6 \times 3) \) and \( (6 \times 10) \).
• Using the Distributive Property, we can write it as \( 6(3 + 10) \).

So the final form is correct according to the Distributive Property, making this response valid.