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Addition and Subtraction
    +              -




      Finding the Inverse
Question?


What does
inverse mean?
Definition




Inverse means to "undo"
  OR something similar
For example…

You could say that messy is the inverse
    of a clean (they are opposites and
            “undo” each other).
In math, we say that…

• Addition is the inverse of subtraction

• Subtraction is the inverse of addition

 Because these two operations “undo”
              each other
Let’s Count on to 20
  1  2  3  4
  5  6  7  8
  9 10 11 12
  13 14 15 16
  17 18 19 20
Let’s Add


    +       =

4       1       5
So…

            4+1=5
What about 1 + 4? Does that equal 5 too?
               Let’s see…

            1+4=5
             YES!
Let’s Count back from 20
   1  2  3  4
   5  6  7  8
   9 10 11 12
   13 14 15 16
   17 18 19 20
Let’s Subtract



        -            =

6           4            2
So...

          6–4=2
              GREAT!
Watch what happens when I switch
 the “-” and the “=” signs and make
             the “-” a “+”

          6=4+2
=              +
6                 4           2

           6=4+2
 you can also write it like this…
4+2=6         OR          2+4=6
Let’s try that again!
                   (+)

            5–3=2

   --Switch the signs around--

            5=3+2

You could also write it like this…

            3+2=5
              OR
            2+3=5
Let’s try that one more time!
           This time we are going to start with addition


                        5+4=9
                        4+5=9
                      --Switch the signs--
  (remember, when doing subtraction you ALWAYS start with the bigger number)



                         9–4=5
                           OR
                         9–5=4
Here are some more examples of the
          inverse at work…

  9 + 1 = 10        10 – 1 = 9
  1 + 9 = 10        10 – 9 = 1

  2+2=4              4–2=2

  6 + 4 = 10        10 – 4 = 6
  4 + 6 = 10        10 – 6 = 4
So…what is the inverse?
The inverse is what undoes the first
               equation




Addition can undo subtraction and
  subtraction can undo addition
Let’s keep practicing!

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Inverse relationship between addition & subtraction

  • 1. Addition and Subtraction + - Finding the Inverse
  • 3. Definition Inverse means to "undo" OR something similar
  • 4. For example… You could say that messy is the inverse of a clean (they are opposites and “undo” each other).
  • 5. In math, we say that… • Addition is the inverse of subtraction • Subtraction is the inverse of addition Because these two operations “undo” each other
  • 6. Let’s Count on to 20 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
  • 7. Let’s Add + = 4 1 5
  • 8. So… 4+1=5 What about 1 + 4? Does that equal 5 too? Let’s see… 1+4=5 YES!
  • 9. Let’s Count back from 20 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
  • 10. Let’s Subtract - = 6 4 2
  • 11. So... 6–4=2 GREAT! Watch what happens when I switch the “-” and the “=” signs and make the “-” a “+” 6=4+2
  • 12. = + 6 4 2 6=4+2 you can also write it like this… 4+2=6 OR 2+4=6
  • 13. Let’s try that again! (+) 5–3=2 --Switch the signs around-- 5=3+2 You could also write it like this… 3+2=5 OR 2+3=5
  • 14. Let’s try that one more time! This time we are going to start with addition 5+4=9 4+5=9 --Switch the signs-- (remember, when doing subtraction you ALWAYS start with the bigger number) 9–4=5 OR 9–5=4
  • 15. Here are some more examples of the inverse at work… 9 + 1 = 10 10 – 1 = 9 1 + 9 = 10 10 – 9 = 1 2+2=4 4–2=2 6 + 4 = 10 10 – 4 = 6 4 + 6 = 10 10 – 6 = 4
  • 16. So…what is the inverse? The inverse is what undoes the first equation Addition can undo subtraction and subtraction can undo addition