Here are a list of arithmetic properties.
- Commutative Property of Addition
When two numbers are added, the result will be the same regardless of the order. For example:
- Associative Property of Addition
When a quantity of numbers greater than three are added together, the result will be the same no matter which order the numbers were added in. For example:
- Identity Property of Addition
- Additive Inverse Property
Very simple, , or vice versa. A number plus another number equals zero.
- Distributive Property
Note that this is the only property in which both addition and multiplication are used. When the sum of two numbers is multiplied by a third number, the product is equal to each addend multiplied by the same third number. For example: .
There are four properties that involve multiplication, plus the distributive property which also involves addition.
- Commutative Property of Multiplication
When two numbers are multiplication, the product will be the same regardless of the order they were multiplied in. For example:
- Associative Property of Multiplication"'
Basically the same as the associative property of addition, except you are using multiplication instead. For example:
- Multiplicative Identity
The product of any number and one is the number. For example:
- Multiplicative Inverse
A number multiplied by another number equals one. For example: