Saturday, August 29, 2015

Internal Concept of Times Table of Fifteen with alternative tip of fives and zeros



Now let’s have a look on the table of fifteen.
Here is the table of fifteen as given in textbooks etc.
          15 x 01 = 015
          15 x 02 = 030
          15 x 03 = 045
          15 x 04 = 060
          15 x 05 = 075
          15 x 06 = 090
          15 x 07 = 105
          15 x 08 = 120
          15 x 09 = 135
          15 x 10 = 150
Simply Padding Zero at the End of the number then sum up the same number five times with answer to get the table of fifteen.
          15 x 01 = 015 = (01 x 10) + (01 x 5) = 010 + 05
          15 x 02 = 030 = (02 x 10) + (02 x 5) = 020 + 10
          15 x 03 = 045 = (03 x 10) + (03 x 5) = 030 + 15
          15 x 04 = 060 = (04 x 10) + (04 x 5) = 040 + 20
          15 x 05 = 075 = (05 x 10) + (05 x 5) = 050 + 25
          15 x 06 = 090 = (06 x 10) + (06 x 5) = 060 + 30
          15 x 07 = 105 = (07 x 10) + (07 x 5) = 070 + 35
          15 x 08 = 120 = (08 x 10) + (08 x 5) = 080 + 40
          15 x 09 = 135 = (09 x 10) + (09 x 5) = 090 + 45
          15 x 10 = 150 = (10 x 10) + (10 x 5) = 100 + 50

Tip 2: Direct Calculation with help of series of 5s and 0s

Note the last digits; they are just series of 5s and 0s
          15 x 01 = 01 5
          15 x 02 = 03 0
          15 x 03 = 04 5
          15 x 04 = 06 0
          15 x 05 = 07 5
          15 x 06 = 09 0
          15 x 07 = 10 5
          15 x 08 = 12 0
          15 x 09 = 13 5
          15 x 10 = 15 0
Right most digits are just series of 1 to 15 except 2, 5, 8, 11, 14...
          15 x 01 = 01 5
          15 x 02 = 03 0
          15 x 03 = 04 5
          15 x 04 = 06 0
          15 x 05 = 07 5
          15 x 06 = 09 0
          15 x 07 = 10 5
          15 x 08 = 12 0
          15 x 09 = 13 5
          15 x 10 = 15 0

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