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A Simple Way to Teach Dividing by Zero

Abstract math problems may be difficult to visualize for some students. This becomes especially true when the concept seems particularly abstract; as is the case with dividing one numberal by zero. Because dividing by zero is "undefined" rather than yielding a numerical answer, some students struggle to relate the concept to anything tangible. With visual aids and a little patience, you can help explain these concepts.

Things You'll Need

  • Chalkboard or whiteboard
  • Chalk or dry erase markers
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Instructions

  1. Prepare the Board

    • 1

      Divide a chalkboard or whiteboard into four sections.

    • 2

      At the top of each section, depict four of the same thing. For example, draw a basket containing four apples in each of the four sections.

    • 3

      Below the first basket of four apples, depict four empty baskets.

    • 4

      Below the second basket of apples, draw two empty baskets.

    • 5

      Below the third basket of four apples, depict one empty basket.

    • 6

      Leave the space below the fourth basket blank.

    Conduct the Lesson

    • 7

      Beginning with the first basket, ask your student(s) to tell you how many apples would be in each basket if they were evenly distributed from the basket of four apples.

    • 8

      For the first basket, the shares would be one apple to each empty basket.

    • 9

      For the second basket, the shares would be two apples to each empty basket.

    • 10

      For the third basket, the share would be four apples to the empty basket.

    • 11

      For the fourth basket, the shares would be undefined because there are no baskets to put the apples in.

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