Tutorial 102 |
Squaring special numbers (5and repeating 3's)
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- Choose a number with a 5 and repeating 3's.
- The square is made up of:
- first digits: 28 & one fewer 4 than repeating 3's
- next digits: 0 & one fewer 8 than repeating 3's
- last digit: 9
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Example:
- If the number to be squared is 5333:
- The square has:
first digits: 28 and one fewer
4 than 3's 2 8 4 4
next digits: 0 and one fewer
8 than 3's
0 8 8
last digit: 9
9
- So 5333 × 5333 = 28,440,889.
See the pattern?
- If the number to be squared is 533333:
- The square has:
first digits: 28 and one fewer
4 than 3's 2 8
4 4 4 4
next digits: 0 and one fewer
8 than 3's 0
8 8 8 8
last digit: 9
9
- So 533333 × 533333 = 284,444,088,889.
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