Undefined Quotient with Fraction Division

Directions: Using the digits 0 to 9 at most one time each, fill in the boxes to create at least two different examples where the quotient is undefined.


What does undefined mean?
What operation could produce undefined values?


You can put any number instead of the #

Source: Daniel Luevanos

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  1. I think the third solution is wrong. When you invert the divisor #/0, it becomes 0/# so you have #/# x 0/# which is zero, not “undefined”.

    • I understand your reasoning, Patsy, but I don’t know if I would agree with you that the third solution is wrong.

      Let’s imagine that we look at the example “4/5 divided by 3/0”. There are a two ways that I might interpret this question:

      1.) We could think of the fractions as decimals. In doing so, we could interpret this example as “0.8 divided by undefined” which would lead to a result of undefined.

      2.) We could think of the example as “4 divided by 5 divided by 3 divided by 0” which would have a result of undefined.

      3.) Just to check my work, I typed the question in a calculator and the message “Cannot divide by zero” popped up.

  2. Just a typo…”quotient” is spelled incorrectly in the directions.

    Thanks for being a great resource for interesting math problems!

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