The Property of

Algebra which states simply

a(b + c) = ab + ac

An Example:

Pretend you made

**8** nodes on saturday and you made

**4** nodes on sunday.

**Each** of these nodes gained you

**3**xp total, how much
xp did you get in total?

3(8 + 4) = 3 * 8 + 3 * 4
or rather
24 + 12 = The amount of xp you gained

This

property is useful when you do not know one of the terms, for instance

6(a + 5) = 48

It would be time-consuming to continually plug numbers into this

Equation to find the

variable **a** without the distributive property,
which in
this case you probaly know by instinct.

6a + 30 = 48, therefore, a is equal to what

integer?

**a = 3**
Note also that the

Expression on the left is a

Product while the

Expression on
the left is a

sum. You should not forget the obvious fact that a Sum can be turned to a product just as a product can be turned
into a sum.