Tutorial 90 |
Squaring special numbers (9's and final 8)
|
|
- Choose a number with repeating 9's and a final 8.
- The square is made up of:
- the same number of 9's as there are repeating 9's
- 6
- the same number of 0's as there are 9's in the square
- A final 4
|
Example:
- If the number to be squared is 9998:
- The square has:
same number of 9's as there are
repeating 9's: 9
9 9
6
6
same number of 0's as 9's
in the square
0 0 0
a final 4
4
- So 9998 × 9998 = 99,960,004.
See the pattern?
- If the number to be squared is 999998:
- The square has:
same number of 9's as there are
repeating 9's: 9 9 9
9 9
6
6
same number of 0's as 9's
in the square 0
0 0 0 0
a final 4
4
- So 999997 × 999997 = 999,996,000,004.
|
|
|
|