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Relationships Between Subtraction and Addition Learn Contents and Search
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Subtraction and Addition Relationship

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:

  • Subtract the same number from both sides
    3 + 7 - 3 = 10 - 3
  • On the left side the 3 and -3 produce 0 which leaves
    7 = 10 - 3
  • Turning the equation around to be in more normal form
    10 - 3 = 7






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