# Question #7621a

Jul 15, 2017

1) Commutative Property of Addition
2) Identity Property of Multiplication
3) Associative Property of Addition
4) Distributive Property

#### Explanation:

Just saying, you won't need to know the names of these properties in later mathematics. All you really need to know is that these equations are true, and it's quite obvious that these equations are true.

1) Commutative Property of Addition

The "Commutative Property" is basically just saying that you can put the terms in any order on any side of the equation, as long as they are all addition or multiplication.

A good way to remember this is that the terms are "commuting", moving around within their side of the equation.

2) Identity Property of Multiplication

The "Identity Property" is basically just saying that if you multiply a number by 1 or you add 0 to a number, the number doesn't change. Their "identity" stays the same.

3) Associative Property of Addition

The "Associative Property" is basically just saying that you can put parentheses around any terms on any side of the equation, as long as they are all addition or multiplication.

4) Distributive Property

The "Distributive Property" is basically just saying that this holds true: $a \cdot \left(b + c\right) = a \cdot b + a \cdot c$. This is the most important property out of the four.