Identity Property


 
 
Concept Explanation
 

Identity Property

Identity Property of Rational Numbers: Some important properties that should be remembered are:

Additive identity: Zero is the additive identity for Rational, natural, whole numbers and integers, since adding it to them does not change the result.

  • 13 + 0 = 13
  • large frac{-5}{6} + 0 = large frac{-5}{6}
  • Hence, 0 + a = a + 0 = a, where a can be rational number or natural number or whole number or integer.

    Multiplicative identity: One is the additive identity for Rational, natural, whole numbers and integers, since multiplying it to them does not change the result.

  • 3 x 1 = 3
  • large frac{-4}{7} x 1 = large frac{-4}{7}
  • Hence, 1x a = ax1 = a, where a can be rational number or natural number or whole number of integer.

    Sample Questions
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    Question : 1

    7 x 1 = 1, this is best explained by which of the following property?

    Right Option : C
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    Explanation
    Question : 2

    Which of the following is an example of the Identity Property of Addition?

    Right Option : B
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    Explanation
    Question : 3

    Which of the following is an example of the Identity Property of Multiplication?

    Right Option : C
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    Explanation
     
     
     
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