# Difference between revisions of "Arithmetic properties"

Here are a list of arithmetic properties.

### Addition

In mathematics, there are four 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: $1+2=2+1$

• 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: $5+(9+2)=(5+9)+2$

• Identity Property of Addition

The sum of any number(positive or negative, fraction, decimal, etc) and zero will equal that number. Of course, $0+0=0$. Other examples include: $5+0=5$ and $1214214+0=1214214$.

• 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: $7(8+9)=7*8+7*9$.

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