Question

im in eighth grade and this is a new topic for us, but i don't know how to solve this...can someone please help? (325*7)+(325*_____)=325(7+8)

Answer 1

Well, it would make sense that the the blank is actually 8. Because 325*7+325*8=325*15

Answer 2

This is distributive property. When you have a coefficient outside of a parenthesis you multiply that coefficient to each of the coefficients within the parenthesis. 325(7+8) In this case 325 is a coefficient outside the parenthesis, and 7 and eight are coefficients inside the parenthesis. So you would multiply 325*7 and then you would multiply the coefficient 325 again by the second coefficient in the parenthesis which is 8. The equal sign implies that on both sides of this sign the numbers should equal the same amount. So (325*7)+(325*_____) should equal 325(7+8). Using what we know about the distributive property, the blank would be 8.