Expanded form of 3( 6 + 7) is [tex]3 \times 10+9 \times 1[/tex]
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
[tex]a(b+c)=a \times b+b \times c[/tex] ----- 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
[tex]3(10+3)=3 \times 10+3 \times 3=3 \times 10+9 \times 1[/tex]
So expanded form of 3( 6 + 7) is [tex]3 \times 10+9 \times 1[/tex]
