Squaring special numbers (9's and final 4)
|
|
- Choose a number with repeating 9's and a final 4.
- The square is made up of:
- one fewer 9 than there are repeating 9's
- 88
- the same number of 0's as there are 9's in the square
- A final 36
|
Example:
- If the number to be squared is 9994:
- The square has:
one fewer 9 than the
repeating 9's: 9 9
88
8 8
same number of 0's as 9's
in the square 0
0
a final 36
3 6
- So 9994 × 9994 = 99880036.
See the pattern?
- If the number to be squared is 999994:
- The square has:
one fewer 9 than the
repeating 9's: 9 9 9 9
88
8 8
same number of 0's as 9's
in the square
0 0 0 0
a final 36
3 6
- So 999994 × 999994 = 999988000036.
|