MATH TRICK - THE 1089 TRICK

The 1089 trick is a fascinating mathematical trick involving a sequence of operations that always leads to 1089. Here's how it works:

The 1089 Trick

1. Choose a 3-Digit Number: Ensure it is a number where the digits are not all the same. For example, let’s use 321.

2. Reverse the Digits: Write the number in reverse. For 321, the reverse is 123.

3. Subtract the Smaller Number from the Larger Number: Subtract the smaller number (123) from the larger number (321).

   • $321 - 123 = 198$
   • $321-123=198$.

4. Reverse the Result: Write down the result and reverse it. For 198, the reverse is 891.

5. Add the Reversed Result to the Original Result: Add the result from step 3 (198) to the reversed result (891).

   • $198 + 891 = 1089$
   • $198+891=1089$.

Example

1. Choose 452.
2. Reverse the digits to get 254.
3. Subtract the smaller from the larger: $452 - 254 = 198$
4. $452-254=198$.
5. Reverse 198 to get 891.
6. Add them: $198 + 891 = 1089$.

No matter which 3-digit number you start with (as long as it isn’t a number where all digits are the same), following these steps will always result in 1089!