Math Elementary arithmetic Distributive law

# Distributive law

The important rule of the distributive law (distributive property) is:

!

### Remember

You can either multiply a sum with a factor or multiply each summand with this factor and add the partial products.
$a\cdot(b+c)=a\cdot b+a\cdot c$

### Examples

• $5\cdot(6+3)=5\cdot6+5\cdot3$
$5\cdot9=30+15$
$45=45$

• $-8\cdot(4+5)=-8\cdot4+(-8)\cdot5$
$-8\cdot9=-32-40$
$-72=-72$