Tuesday, 16 March 2010

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Square 2 Digit Number: UP-DOWN Method

Square a 2 Digit Number, for this example 37:
  • Look for the nearest 10 boundary
  • In this case up 3 from 37 to 40.
  • Since you went UP 3 to 40 go DOWN 3 from 37 to 34.
  • Now mentally multiply 34x40
  • The way I do it is 34x10=340;
  • Double it mentally to 680
  • Double it again mentally to 1360
  • This 1360 is the FIRST interim answer.
  • 37 is "3" away from the 10 boundary 40.
  • Square this "3" distance from 10 boundary.
  • 3x3=9 which is the SECOND interim answer.
  • Add the two interim answers to get the final answer.
  • Answer: 1360 + 9 = 1369

With practice this can easily be done in your head.

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