inverse properties


Definition of Inverse Properties

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

More about Inverse Properties

  • 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.
  • `` is said to be multiplicative Inverse of `a` if .

Example of Inverse Properties

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

Solved Example on Inverse Properties

Find the multiplicative inverse of 7.
Choices:
A. - 7
B. 7
C.
D. √7
Correct Answer: C
Solution:
Step 1: Multiplicative inverse of a number is the reciprocal of the number.
Step 2: Reciprocal of 7 is .
Step 3: 7 × = 1.
Step 4: So, the multiplicative inverse of 7 is .

Related Terms for Inverse Properties

  • Identity
  • Inverse
  • Property
  • Reciprocal