Arithmetic Grade Three

Lesson One hundred and fifteen: Three Column Regrouping


Inspect this multiplication problem:

    456
    x 2 
   -----

To solve this problem, follow these steps:


  STEP ONE: multiply bottom number by ones digit of top number.

       6 x 2 = 12

  STEP TWO: carry and bring down.
        
        1
       456
       x 2 
      -----
         2

  STEP THREE: multiply bottom number by tens digit and add carried number.

       2 x 5 + 1 = 11

  STEP FOUR: carry and bring down.

       11
       456
       x 2 
      -----
        12

  STEP FIVE: multiply bottom number by hundreds digit and add carried number.

      2 x 4 + 1 = 9

  STEP SIX: bring down.

       11
       456
       x 2 
      -----
       912


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