Question

Use the GCF and distributive proptey to find each sum of 30+66

Answer 1

`30+66`

`=6(5+11)`

`=6* 16`

`=96`

Explanation:

Given expression:

`30+66`

To find the sum by evaluating the expression using G.C.F. an d distributive property.

Solution:

In order to find the sum using distributive property, we will find the greatest common factors of the two numbers which will be factored out.

Listing the prime factors of the given numbers.

`30=2* 3* 5`

`66=2* 3* 11`

From the factors listed, the G.C.F =
`2* 3=6`.

We will factor out 6 from the numbers and write the uncommon factors inside the parenthesis.

Thus, the expression can be re-written using distributive property as:

⇒
`6(5+11)`

Simplifying to find the sum.

⇒
`6* 16`

⇒
`96` (Answer)