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Multiplying Two-Digit Numbers (Elementary)

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



What does the number on the left represent?  What does the number on the right represent?



96 · 87 is one answer for the largest product.  13 · 24 is the smallest product.

Source: Robert Kaplinsky

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  1. Here is a Desmos visual that might support the task.


    • Robert Kaplinsky

      Nice Rusty! Too bad there isn’t a built in way to restrict duplicate numbers. Two thoughts:
      – I wonder if there is a difference between a horizontal and vertical representation?
      – Is there value in restricting a and b to 12 to 98? (11 or less and 99 and 100 are not possible)

  2. Raiden From 3rd Grade

    I Did 12×5 I Dint Try For Largest Or Smallest My Whole Answer Was This:
    12+12+12+12+12= 60
    24 24 12=60

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