Question

Which expression shows how to use place value and the distributive property to find 56(82)? 56(80) + 56(2) 56(8) + 56(2) 50(6) + 80(2) 50(80) + 6(2)

Answer 1

the first answer is correct.
56(80)+56(2)

Answer 2

Option 1 -
`56(80) + 56(2)`

Explanation:

To find : Which expression shows how to use place value and the distributive property to find 56(82)?

Solution :

Distributive property is defined as

`a(b+c)=ab+ac`

To determine the expression we solve each of the following,

1)
`56(80) + 56(2)`

Applying property,

`56(80) + 56(2)=56(80+2)`

`56(80) + 56(2)=56(82)`

It is true.

2)
`56(8)+56(2)`

Applying property,

`56(8) + 56(2)=56(8+2)`

`56(8) + 56(2)=56(10)`

It is not true.

3)
`50(6) + 80(2)`

Property cannot be applied.

4)
`50(80) + 6(2)`

Property cannot be applied.

Therefore, option 1 is correct.