10
8
6
4
2
0
4(2+5)
10
8
6
4
2
0
4(2)+4(5)

The Distributive Law and Combining Like Terms

The distributive law

Question 1 of 10. In each of the rows of this table, do both arithmetic problems. The problems will be illustrated on the grids to the left.

4(2+5)=28
4(2)+4(5)=28
(5+3)(4)=
5(4)+3(4)=
6(5+2.5)=
6(5)+6(2.5)=
(3+(2))(6)=
3(6)+(2)(6)=

As you can see, both answers are the same in each row of the table. This illustrates the following rule:

The distributive law of multiplication over addition: for any three numbers a, b, and c,

a(b+c)=a(b)+a(c)
(b+c)(a)=b(a)+c(a)

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