Squaring Numbers Ending in 5
- Take the digits before the 5 and multiply that number by one more than itself.
- Then attach 25 to the end of the result.
Example:
35²
(starts with 3)
(starts with 3)
3 × 4 = 12
(multiply 3 by one more than itself)
Add 25 → 1225
(multiply 3 by one more than itself)
Add 25 → 1225
Another example:
105²
(starts with 10)
(starts with 10)
10 × 11 = 110
(multiply 10 by one more than itself)
Add 25 → 11025
(multiply 10 by one more than itself)
Add 25 → 11025
This pattern works for any number that ends in 5.