Inverse Properties

Definition of Inverse Operation

Inverse Properties state that when a number is combined with its inverse, it is equal to its identity.

More About Inverse Operation

  • There are two types of inverses of a number: Additive Inverse and Multiplicative Inverse.
  • `- a` is said to be additive inverse of `a` if a + (- a) = 0.
  • `1/a` is said to be multiplicative Inverse of `a` if Inverse Properties.

Video Examples: Inverse Property of Multiplication

Example of Inverse Operation

    The additive inverse of 54 is - 54 because if a is a real number, then the additive inverse of a is - also that a + (- a) = 0.

Solved Example on Inverse Operation

Ques: Find the multiplicative inverse of 7.

    A. - 7
    B. 7
    D. √7
    Correct Answer: C


    Step 1: Multiplicative inverse of a number is the reciprocal of the number.
    Step 2: Reciprocal of 7 is 1/7.
    Step 3: 7 × 1/7 = 1.
    Step 4: So, the multiplicative inverse of 7 is 1/7.

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