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Question 654153: How do you use the Identity property of multiplication and Identity property of addition?
Answer by Edwin McCravy(20056)   (Show Source):
You can put this solution on YOUR website!
The IDENTITY for an operation is the number that causes no change
when you use it under that operation.
Example 1:
0 is the identity for ADDITION, because it is the only number that
causes no change in a number when you ADD 0 to it.
When you add 0 to 3 you get 3, which means that you have not changed
the 3 by ADDING 0 to it.
When you add 0 to 7 you get 7, which means that you have not changed
the 7 by ADDING 0 to it.
When you add 0 to ANY NUMBER you get THAT SAME NUMBER, which means that
you have not changed that number by adding 0 to it.
Example 2:
1 is the identity for MULTIPLICATION, because it is the only number that
causes no change in a number when you MULTIPLY it by 1.
When you MULTIPLY 3 by 1 you get 3, which means that you have not changed
the 3 by MULTIPLYING it by 1.
When you MULTIPLY 7 by 1 you get 7, which means that you have not changed
the 7 by MULTIPLYING it by 1.
When you MULTIPLY ANY NUMBER by 1 you get THAT SAME NUMBER, which means that
you have not changed the number by MULTIPLYING it by 1.
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So you use the identity property of ADDITION every time you ADD 0 to a number
and get the same number back.
And you use the identity property of MULTIPLICATION every time you MULTIPLY a
number by 1 and get the same number back.
Edwin
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