Difference between revisions of "Arithmetic properties"
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===Multiplication=== | ===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: <math>4*6=6*4</math> | ||
| + | |||
| + | *'''Associative Property of Multiplication"' | ||
| + | Basically the same as the associative property of addition, except you are using multiplication instead. For example: <math>(8*2)*31=8*(2*31)</math> | ||
| + | |||
| + | *'''Multiplicative Identity"' | ||
| + | The product of any number and one is the number. For example: <math>514*1=514</math> | ||
===Other=== | ===Other=== | ||
Revision as of 19:14, 2 July 2018
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: 
- 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 
.
- 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: 
