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INVERSE OPERATION

Inverse Operation

Definition Of Inverse Operation

Two operations are said to be Inverse to each other if one operation undoes the effect of the other operation.

More About Inverse Operation

Addition and subtraction are inverse operations of each other.
Multiplication and division are inverse operations of each other.

Video Examples: How to Solve Algebra Equations Using Inverse Operations : Measurements & Other Math Calculations


 

Example of Inverse Operation

The inverse operation of "10 + 9 = 19" is "19 - 9 = 10", or vice-versa.
The inverse operation of "7 × 9 = 63" is "63 ÷ 9 = 7", or vice-versa.

Solved Example on Inverse Operation

Ques: Identify the inverse operation for 14 × 4 = 56.

Choices:

A. 56 ÷ 4 = 14 
B. 56 × 4 = 14
C. 14 ÷ 4 = 56
D. 56 - 4 = 14
Correct Answer: A

Solution:

Step 1: The inverse operation of 14 × 4 = 56 is 56 ÷ 4 = 14 and 56 ÷ 14 = 4. 
Step 2: Here, 56 ÷ 4 = 14 is the correct answer.

Quick Summary

  • Addition and subtraction are inverse operations.
  • Multiplication and division are inverse operations.
  • Inverse operations help solve equations.
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🍎 Teacher Insights

Use real-world examples to illustrate inverse operations. For example, 'putting on socks' and 'taking off socks'.

🎓 Prerequisites

  • Addition
  • Subtraction
  • Multiplication
  • Division

Check Your Knowledge

Q1: What is the inverse operation of multiplication?

Q2: Solve for x: x + 3 = 7. What operation would you use?

Frequently Asked Questions

Q: What is the inverse operation of adding 5?
A: Subtracting 5.

Q: Why are inverse operations important?
A: They allow us to isolate variables and solve equations.

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