Tutorial 107 |
Squaring special numbers (7 and repeating 3's)
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- Choose a number with a 7 and repeating 3's.
- The square is made up of:
- first digits: 53 & one fewer 7 than repeating 3's
- next digits: 2 & one fewer 8 than repeating 3's
- last digit: 9
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Example:
- If the number to be squared is 7333:
- The square has:
first digits: 53 and one fewer
7 than 3's 5 3 7 7
next digits: 2 and one fewer
8 than 3's
2 8 8
last digit: 9
9
- So 7333 × 7333 = 53,772,889.
See the pattern?
- If the number to be squared is 733333:
- The square has:
first digits: 53 and one fewer
7 than 3's 5 3 7 7 7 7
next digits: 2 and one fewer
8 than 3's 2 8 8 8 8
last digit: 9
9
- So 733333 × 733333 = 537,777,288,889.
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