Question

Choose the number sentence that shows the distributive property of multiplication over addition.

A.
4 × (7 + 6) = (4 × 7) + 6
B.
4 × (7 + 6) = (4 × 7) + (4 × 6)
C.
4 × (7 + 6) = (4 + 7) × (4 + 6)

Answer 1

hey the correct answer is C.

Have a great day!

Answer 2

we know that

distributive property of multiplication over addition:

`a * (b+c)=a * b + a * c`

now, we will verify each options

option-A:

4 × (7 + 6) = (4 × 7) + 6

We can see that right side does not match with property

so, this is FALSE

option-B:

4 × (7 + 6) = (4 × 7) + (4 × 6)

We can see that both sides match with property

so, this is TRUE

option-C:

4 × (7 + 6) = (4 + 7) × (4 + 6)

We can see that right side does not match with property

so, this is FALSE