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Make Math Moments Academy Forums Community Discussion Water Cooler Why does the inequality reverse when dividing by a negative number? Reply To: Why does the inequality reverse when dividing by a negative number?

  • Jon

    Administrator
    January 18, 2020 at 7:51 am

    hey @mary-manske 

    I think a number line is an excellent way to model this! As an example you can show visually on the number line 5 < 9 and then if when you divide both sides by -1 and you didn’t switch the inequality then you would get -5 < -9….. show this on the number line. Is this true? Kids will say nope becuase -5 is NOT ‘more’ to the left than -9 is. 

    What are you thougths?