Thursday, January 19, 2012

Multiplying any 3-digit numbers between 100 and 109

Multiplying any 3-digit numbers between 100 and 109 together is a 3-step simple technique:

Step 1: Put 1 as the first digit of the answer. It will always be 1.
Step 2: Add the last digits of each numbers. That’s the next two digits of the answer. If the addition results in a single digit number, make sure to put an extra zero before it.
Step 3: Multiply the last digits of each number. That’s the last two digits of the answer. Here also make sure to put an extra zero if the product is a single digit number.

Example: 107 x 105 = ?

   107
X 105
     ?

  1. The first number will always be 1
        107
     x  105 
    1####   (1x1 = 1)
  2. Add the last digits of each numbers. 7+5=12. That’s the next two digits of the answer.
        107
      x  105 
     112##   (5+7 = 12)
  3. Lastly, multiply the last digits of each number, 7x5=35
        107
     x   105 
     11,235   (5x7 = 35)
 The answer is 11,235.
So,107 x 105 = 11,235
 
Another Example:

         108
X       109
    11,772

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