Here are some fun and useful math tricks to impress your friends or speed up calculations:
1. Multiply Any Number by 5 Quickly
- Trick: For any number, divide it by 2. If the result is an integer, add 0 to the end. If it’s not, ignore the remainder and place 5 at the end.
- Example:
: Half of 32 is 16 → Answer: 160.
: Half of 43 is 21.5 → Ignore .5, and add 5 → Answer: 215.
2. Check Divisibility by 3
- Trick: Add up all the digits of the number. If the sum is divisible by 3, so is the number.
- Example:
: , which is divisible by 3 → Yes, is divisible by 3.
3. Square a Two-Digit Number Ending in 5
- Trick: Multiply the first digit by the next higher number and add 25.
- Example:
: , so .
: , so .
4. Multiplication by 11
- Trick: For a two-digit number, add the digits together and place the result in the middle.
- Example:
: , so .
: , so .
5. Subtract from 1000 Quickly
- Trick: Subtract each digit from 9, except the last one from 10.
- Example:
: , so .
6. Multiplying Two Numbers Close to 100
- Trick: Subtract each number from 100, subtract the results crosswise, and multiply the differences.
- Example:
:
, , , so .
7. Find the Day of the Week for Any Date
- This one’s a bit longer but involves modular arithmetic and "key" days for months. Let me know if you’re curious to learn it! 😊