Question

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

Answer 1

Expanded form of 3( 6 + 7) is $3 \times 10+9 \times 1$

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

$a(b+c)=a \times b+b \times c$  ----- 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

$3(10+3)=3 \times 10+3 \times 3=3 \times 10+9 \times 1$

So expanded form of 3( 6 + 7) is $3 \times 10+9 \times 1$