Jagoan Matematika: Squaring numbers made up of threes

Jagoan Matematika

Gateway For Tour Brain Math

Sunday, May 20, 2007

Squaring numbers made up of threes

1. Choose a a number made up of threes.
2. The square is made up of:
one fewer 1 than there are repeating 3's zero one fewer 8 than there are repeating 3's (same as the 1's in the square) nine.

Example:

1. If the number to be squared is 3333:
2. The square of the number has:
three 1's (one fewer than digits in number) 1 1 1 _ _ _ _ _next digit is 0 _ _ _ 0 _ _ _ _three 8's (same number as 1's) _ _ _ _ 8 8 8 _a final 9 _ _ _ _ _ _ _ 9
So 3333 × 3333 = 11108889.

See the pattern?

1. If the number to be squared is 333:
2. The square of the number has:
two 1's 1 1 _ _ _ _ _next digit is 0 _ _ _ 0 _ _ _ two 8's _ _ _ _ 8 8 _a final 9 _ _ _ _ _ _ 9
So 333 × 333 = 110889.

posted by marhadi @ 6:27 AM

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