# Difference between revisions of "Arithmetic properties"

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===Addition=== | ===Addition=== | ||

− | In [[mathematics]], there are | + | In [[mathematics]], there are five properties that involve [[addition]]. |

*'''Commutative Property of Addition''' | *'''Commutative Property of Addition''' | ||

When two numbers are added, the result will be the same regardless of the order. For example: <math>1+2=2+1</math> | When two numbers are added, the result will be the same regardless of the order. For example: <math>1+2=2+1</math> | ||

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*'''Identity Property of Addition''' | *'''Identity Property of Addition''' | ||

− | The sum of any number(positive or negative, fraction, decimal, etc) and zero will equal that number. Of course, <math>0+0=0</math>. Other examples include: <math>5+0=5</math> and <math>1214214+0=1214214</math>. | + | The sum of any number(positive or negative, [[fraction]], [[decimal]], etc) and zero will equal that number. Of course, <math>0+0=0</math>. Other examples include: <math>5+0=5</math> and <math>1214214+0=1214214</math>. |

+ | |||

+ | *'''Additive Inverse Property''' | ||

+ | Very simple, <math>x+y=0</math>, <math>x=-y</math> or vice versa. A number plus another number equals zero. | ||

*'''Distributive Property''' | *'''Distributive Property''' |

## Revision as of 21:39, 5 July 2018

Here are a list of arithmetic properties.

### Addition

In mathematics, there are five properties that involve addition.

**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**

The sum of any number(positive or negative, fraction, decimal, etc) and zero will equal that number. Of course, . Other examples include: and .

**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: .

### Multiplication

There are three 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:

### Other

*This article is a stub. Help us out by expanding it.*