Question

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

A.
3 × (4 + 5) = (3 × 4) + (3 × 5)
B.
3 × (4 + 5) = (3 + 4) × (3 + 5)
C.
3 × (4 + 5) = (3 × 4) + 5

Answer 1

we know that

distributive property of multiplication over addition:

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

now, we will verify each options

option-A:

3 × (4 + 5) = (3 × 4) + (3 × 5)

We can see that both sides match with property

so, this is TRUE

option-B:

3 × (4 + 5) = (3 + 4) × (3 + 5)

We can see that right side does not match with property

so, this is FALSE

option-C:

3 × (4 + 5) = (3 × 4) + 5

We can see that right side does not match with property

so, this is FALSE