Tutorial 74 |
Squaring special numbers (3's and final 9)
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- Choose a number with repeating 3's and a final 9.
- The square is made up of:
- the same number of 1's as there are repeating 3's in the number;
- one 4
- two fewer 8's than there are repeating 3's;
- a final 921.
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Example:
- If the number to be squared is 33339:
- The square has:
four 1's (same as
repeating 3's) 1 1 1 1
one 4
4
two 8's (two fewer than
repeating 3's)
8 8
a final 921 9 2 1
- So 33339 × 33339 is 1,111,488,921.
See the pattern?
- If the number to be squared is 3333339:
- The square has:
six 1's (same as
repeating 3's) 1 1 1 1 1 1
one 4
4
four 8's (two fewer than
repeating 3's)
8 8 8 8
a final 921 9 2 1
- So the square of 3333339 = 11,111,148,888,921.
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