Tutorial 98 |
Squaring special numbers (3 and repeating 9's)
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- Choose a number with a 3 and repeating 9's.
- The square is made up of:
- first digits: 15 & one fewer 9 than repeating 9's
- next digits: 2 & one fewer 0 than repeating 9's
- last digit: 1
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Example:
- If the number to be squared is 3999:
- The square has:
first digits: 15 and one fewer
9 than 9's 1 5 9 9
next digits: 2 and one fewer
0 than 9's
2 0 0
last digit: 1
1
- So 3999 × 3999 = 15,992,001.
See the pattern?
- If the number to be squared is 399999:
- The square has:
first digits: 15 and one fewer
9 than 9's 1 5
9 9 9 9
next digits: 2 and one fewer
0 than 9's 2
0 0 0 0
last digit: 1
1
- So 399999 × 399999 = 159,999,200,001.
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