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Problem of the Week #10: A Three-Digit Number Divided by a One-Digit Number (Visualized)

Posted by Jeff Simpson under

All Problems of the Week - And Solutions,

Multiplication/Division | Tags:

learning math,

math instruction,

math problems,

teaching math |

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When learning to divide a three-digit number by a one-digit number, students are often only given a mechanical procedure [or abstract algorithm] to follow, without a concrete picture or objects to manipulate to establish a physical sense of comparison and magnitude.

Problem of the Week #10 gives the opportunity to picture a three-digit number divided by a one-digit number problem using a special array of “manipulatives on paper.” This is actually quite easy to do when you know how; but like last week’s multiplication problem, most people have never done it before.

Here is the challenge: imagine that you have never been shown how to do long division. Using only the “One-Dollar Bills Page,” the “Ten-Dollar Bills Page” we used for last week’s problem, and two blank pieces paper, show an exact picture of 156 ÷ 4. Your solution must not only show the correct amount of money, but it must picture the actual meaning of 156 ÷ 4. The solution will be posted next week!

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