Guest Post: An Impressive Two-Minute Math Challenge to Use in Class

Prof. Andrew Stapleton at U. of Wisconsin-La Crosse shares with us a fun teaching tip.

Kick off your class with this captivating two-minute math trick!
Step 1: Grab a calculator. Ask everyone to take out their calculator or open the calculator app on their phone.

Step 2: Create a six-digit number. Instruct each student to think of any three-digit number and repeat it to form a six-digit number. For example: 729 becomes 729729.

Step 3: The magical prediction.  Invite students to shout out their six-digit numbers all at once. Pretend you’re calculating each one in real-time and confidently declare:
“I am going to calculate quickly and give you three directions and you will never have a remainder. That is, each iteration you will have a whole number. Follow my instructions, and your final result will always be your original three-digit number!”

Step 4: The steps.
Have everyone perform these operations on their six-digit number:
Divide the number by 13 (they’ll get a whole number).
Divide the result by 11 (still a whole number).
Divide that result by 7.
Surprise! Each student ends up with their original three-digit number.

How does it work?
The math is straightforward but seems like magic:

Multiplying a three-digit number by 1001 (i.e., 13×11×7) creates a six-digit number by repeating the original. Dividing in reverse (by 13, then 11, then 7) simply uncovers the original three-digit number.

The real fun? Your dramatic prediction adds flair and mystery, making the trick seem far more complex than it is. Enjoy the “wow” moment as your students are amazed!

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