Question

Use distributive property to write in expanded form 3(6+7)=

Answer 1

Expanded form of 3( 6 + 7) is
`3 * 10+9 * 1`

Solution:

Need to use distributive property to write the expanded form of 3(6 + 7)

Let’s understand what is distributive property.

The distributive property states that multiplying a sum by a number gives the same result as multiplying each addend by the number and then adding the products together.

According to distributive property, for numbers a , b and c

`a(b+c)=a * b+b * c` ----- eqn 1

3(6 + 7) can be rewritten as 3 ( 6 + 4 + 3 ) = 3 ( 10 + 3 )

Now in our case a = 3 , b = 10 and c = 3

On substituting the values of a , b and c in equation 1 we get

`3(10+3)=3 * 10+3 * 3=3 * 10+9 * 1`

So expanded form of 3( 6 + 7) is
`3 * 10+9 * 1`