Question

An equation is shown. Select all the ways you can use the Distributive property to find the missing factors. 7 X 3 = (___ X 3 ) + (____ X 3)7 X 3 = ( 5 X 3 ) + ( 2 X 3 )7 X 3 = ( 2 X 3 ) + ( 5 X 3 )7 X 3 = ( 7 X 3 ) + ( 1 X 3 )7 X 3 = ( 1 X 3 + ( 6 X 3 )7 X 3 = ( 6 X 3 ) + ( 1 X 3 )3rd grade student

Answer 1

We need to use distributive property to find the missing factors:

$7\cdot3\text{ = 7+7+7 = 21}$

"The distributive property of multiplication says that a multiplication fact can be broken up into the sum of two other multiplication facts."

$7\cdot3=(5+2)\cdot3$

because 5+2 = 7.

$(5+2)\cdot3\text{ = (5}\cdot3)+(2\cdot3)$

So the correct answer are:

7 X 3 = ( 5 X 3 ) + ( 2 X 3 )

Then

7 X 3 = ( 2 X 3 ) + ( 5 X 3 )

because:

( 5 X 3 ) + ( 2 X 3 ) = ( 2 X 3 ) + ( 5 X 3 )

Also :

7 X 3 = ( 1 X 3) + ( 6 X 3 )

Because 7 x3 = (6+1) x 3 = 1 X 3) + ( 6 X 3 )