Squaring special numbers (9's and final 2)
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- Choose a number with repeating 9's and a final 2.
- The square is made up of:
- one fewer 9 than there are repeating 9's
- 84
- the same number of 0's as there are 9's in the square
- A final 64
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Example:
- If the number to be squared is 9992:
- The square has:
one fewer 9 than the
repeating 9's: 9
9
84
8 4
same number of 0's as 9's
in the square
0 0
a final 64
6 4
- So 9992 × 9992 = 99840064.
See the pattern?
- If the number to be squared is 999992:
- The square has:
one fewer 9 than the
repeating 9's: 9 9 9 9
84 8
4
same number of 0's as 9's
in the square 0
0 0 0
a final 64
6 4
- So 999992 × 999992 = 999984000064.
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