Inverse Relationship of Add and Subtract
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?
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If X + X = X,
then X - X = X
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