Properties of Addition
The following are theproperties of additionfor real numbers. Some textbooks list just a few of them, others list them all. They may have slightly different names in your textbook.
PROPERTIES OF ADDITION
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Identity Property | There is a unique real numbersuch that for every real number, and Zero is called theidentity elementof addition. |
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Commutative Property | For all real numbers,
The order in which you add two numbers does not change the result. |
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Associative Property | For all real numbers,
When you add three real numbers, the grouping (or association) of the numbers does not change the result. |
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Property of Opposites | For all real number, there is a unique real numbersuch that and A number and its opposite are calledadditive inversesof each other because their sum is zero. |
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Property of Opposite of a Sum | For all real numbers,
The opposite of a sum of real numbers is equal to the sum of the opposites. |