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 Home--maths--Fifth Grade--Inverse relationship of Addition and Subtraction

Inverse relationship of Addition and Subtraction

Inverse relationship of Addition and Subtraction

There is an inverse relationship between addition and subtraction.

If a math fact is considered, for example 3 + 7 = 10. Then the following are also true:

  • 10 - 3 = 7
  • 10 - 7 = 3

Similar relationships exist for subtraction, for example 10 - 3 = 7. Then the following are also true:

  • 3 + 7 = 10
  • 7 + 3 = 10

The reason for this is that we are dealing with an equation. 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


What number should replace the question marks?

 





2006-10-24 22:25:28
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