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Why Can't You Divide By 0?

Why can't my denominator be equal to 0?

Summary

  1. If we divide by 0, then the answer is "undefined"
  2. We can't distribute 30 books among 0 people because there are no people to distribute to
  3. That is why 30/0 is undefined
  4. No number can be plugged in for 'x' to make 5 = 0 • x a true statement

Notes

    1. If we try to divide anything into nothing, or divide something into 0 parts, then it makes no sense
    1. If we try to divide anything into nothing, or divide something into 0 parts, then it makes no sense
    2. Since it makes no sense, we can't get an numerical answer from dividing by 0
    1. Does this question make sense? No, we cannot give 0 people anything
    1. 30 algebra books are being distributed (divided) evenly amongst 0 people
    1. So that's why our answer is "undefined"
    1. 'x' is a variable
    2. If 'x' can be anything, what can it be to make 0 • x = 5?
    1. No number works to make 0 • x = 5
    1. Dividing by 0 never leads to anything good!