Choose a 3-digit number where each digit is smaller than the previous one (but they don’t have to be in order. For example, 982 or 531.)
Then, reverse the digits and subtract the second number from the first one. So, if I had chosen 531, I would now work out 531 – 135. The answer is 396. (If you get 99, record your answer as 099.)
Next, reverse your new number. For example, from 396 I can make 639.
Finally, add these last two numbers together. For example, 396 + 639.
Here comes the magic...
The answer is 1089!
Investigate
Try another starting number and test it out again...is the final answer still 1089?
Explore what happens if you use the same process, starting with a 2-digit number or a 4-digit number...
What do you notice about the final answer?
Why do you think this might be happening?
Share / submit
Share your work with your class on your digital platform.