Tutorial 106 |
Squaring special numbers (6 and repeating 9's)
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- Choose a number with a 6 and repeating 3's.
- The square is made up of:
- first digits: 40 & two fewer 1's than repeating 3's
- next digits: 06 & one fewer 8 than repeating 3's
- last digit: 9
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Example:
- If the number to be squared is 6333:
- The square has:
first digits: 40 and two fewer
1's than 3's 4 0 1
next digits: 06 and one fewer
8 than 3's
0 6 8 8
last digit: 9
9
- So 6333 × 6333 = 40,106,889.
See the pattern?
- If the number to be squared is 633333:
- The square has:
first digits: 40 and two fewer
1's than 3's 4 0 1 1 1
next digits: 06 and one fewer
8 than 3's 0 6 8 8 8 8
last digit: 9
9
- So 633333 × 633333 = 401,110,688,889.
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