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Whole Numbers - Operations Lessons

Inverse Relationship of Add and Subtract: Learn

There is an inverse relationship between addition and subtraction.

Example: Since 3 + 7 = 10 then the following are also true:

10 - 3 = 7
10 - 7 = 3

Similar relationships exist for subtraction.

Example: Since 10 - 3 = 7 then the following are also true:

3 + 7 = 10
7 + 3 = 10

An equation is balanced or the same on either side of the equals (=) sign. If exactly the same thing is done to both sides of the equation, it will still be balanced or equal.

In the example above we start with the equation 3 + 7 = 10:

3 + 7 = 10
-3 -3
7 = 10 - 3

Turning the equation around to be in more normal form:
10 - 3 = 7

Relationship Between Add and Subtract: Practice

What number should replace X?

00:00

If X + X = X,
then X - X = X

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