Dividing Decimals (Elementary)

Directions: Using the digits 1 to 9 at most one time each, fill in the boxes to make the smallest (or largest) quotient.

Hint

What number does each box represent?

Answer

The current smallest quotient is 1.23 / 9.87 = 0.124. No answers yet for the largest quotient.  If you have one, post it in the comments.

Source: Robert Kaplinsky

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18 comments

  1. Just a heads up on a typo: quotient, not sum

  2. 1.23 / 9.87 = 0.124

    • Thanks DYMB! I added it to the problem.

    • Ashley McCullough

      My students got this today, too! We had a great discussion about thinking of this problem as a fraction instead of a division problem. Once a student got 0.5 as an answer, other students realized they could get 1/4 by making the dividend a quarter of the divisor. That led to 1/8. So fun!!

  3. 9.87/1.23=8.024

  4. My problem with either largest or smallest quotient is that your quotient repeats digits that were part of the divisor.

  5. largest is 9.87/1.23 = 8.0243902439

  6. 1.23 / 9.87 = 0.124

  7. 1.23 divided 9.87 = 0.124

  8. Rudolf Österreicher

    I can confirm that the greatest possible quotient is 9.87 / 1.23 = 8.024390243902439…

    • Rudolf Österreicher

      And that the smallest possible quotient is 1.23/9.87 = 0.124620060790273556231003039513677811550151975683890577507598784194528875379939209726443768996960486322188449848024316109422492401215805471 (period 138)

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