Modelling Negatives

 

Just a few images that some may find helpful when describing calculations with negatives

aneg1

aneg2

aneg3

 

 

 aneg4

 

Multiplying involves the concept of an "enlargement" operation.

amneg1

 

Then the distinction between the multiplying effect of 1 (stays the same) and -1 (flips it over)

amneg2

 

Which also works on negatives

amneg3

...and so we can multiply by any sized positive or negative number.

amneg4

amneg5

Now I know I haven't included "taking away" negatives but my explanation takes more than one image to explain - but consider 5 - (-2). Since we know that 5 = 7-2, then 5 - (-2) can be written as (7-2) - (-2). Using this argument alongside appropriate diagrams with learners has proven to be succesful.

Last modified onThursday, 16 May 2019 07:58
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