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) Responses 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=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=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=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, plz help bot!
To rewrite the number 78 using the Distributive Property of Multiplication over Addition, we need to find two factors for 78 that can be distributed.
Let's analyze the options provided:
Option 1: 78 = 22 + 56 = (2 × 11) + (2 × 28) = 2(11 × 28)
This option correctly distributes the numbers 2 and 78, expressing it as the product of 2 and the sum of 11 and 28.
Option 2: 78 = 11 + 67 = (1 × 11) + (1 × 67) = 1(11 × 67)
This option incorrectly distributes the numbers 1 and 78, as 11 and 67 cannot be combined using the Distributive Property to represent 78. Thus, this option is not correct.
Option 3: 78 = 18 + 60 = (6 × 3) + (6 × 10) = 6(3 + 10)
This option correctly distributes the numbers 6 and 78, expressing it as the product of 6 and the sum of 3 and 10.
Option 4: 78 = 24 + 54 = (6 × 4) + (6 × 9) = 6(4 × 9)
This option correctly distributes the numbers 6 and 78, expressing it as the product of 6 and the sum of 4 and 9.
Therefore, the correct way to rewrite 78 using the Distributive Property of Multiplication over Addition is:
78 = 22 + 56 = (2 × 11) + (2 × 28) = 2(11 × 28)