Difference between revisions of "Arithmetic properties"
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===Addition=== | ===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: <math>1+2=2+1</math> | ||
| + | |||
| + | *'''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: <math>5+(9+2)=(5+9)+2</math> | ||
| + | |||
| + | *'''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>. | ||
| + | |||
| + | *'''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''' | ||
| + | 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: <math>7(8+9)=7*8+7*9</math>. | ||
===Multiplication=== | ===Multiplication=== | ||
| + | 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: <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> | ||
| − | = | + | *'''Multiplicative Inverse''' |
| + | A number multiplied by another number equals [[one]]. For example: <math>1/5*5=1</math> | ||
Latest revision as of 20:41, 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 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: 
