Monday, August 31, 2015

Internal Concept of Times Table of Seventeen

Now let’s have a look on the table of seventeen.
Here is the table of seventeen as given in textbooks etc.
          17 x 01 = 017
          17 x 02 = 034
          17 x 03 = 051
          17 x 04 = 068
          17 x 05 = 085
          17 x 06 = 102
          17 x 07 = 119
          17 x 08 = 136
          17 x 09 = 153
          17 x 10 = 170
Tip 1: Simply Padding Zero at the End of the number then sum up the same number twice with answer and answer of multiplying number five times to get the table of seventeen.
17 x 01 = 017 = (01 x 10) + (01 x 5) + (01 x 2) = 010 + 05 + 02
17 x 02 = 034 = (02 x 10) + (02 x 5) + (02 x 2) = 020 + 10 + 04
17 x 03 = 051 = (03 x 10) + (03 x 5) + (03 x 2) = 030 + 15 + 06
17 x 04 = 068 = (04 x 10) + (04 x 5) + (04 x 2) = 040 + 20 + 08
17 x 05 = 085 = (05 x 10) + (05 x 5) + (05 x 2) = 050 + 25 + 10
17 x 06 = 102 = (06 x 10) + (06 x 5) + (06 x 2) = 060 + 30 + 12
17 x 07 = 119 = (07 x 10) + (07 x 5) + (07 x 2) = 070 + 35 + 14
17 x 08 = 136 = (08 x 10) + (08 x 5) + (08 x 2) = 080 + 40 + 16
17 x 09 = 153 = (09 x 10) + (09 x 5) + (09 x 2) = 090 + 45 + 18
17 x 10 = 170 = (10 x 10) + (10 x 5) + (10 x 2) = 100 + 50 + 20
Tip 2: Simply Padding Zero at the End of the number and multiply it with two then subtracts the same number three times with answer and get the table of seventeen.
          17 x 01 = 017 = (01 x 10) x 2 - (01 x 3) = (010 x 2) - 03
          17 x 02 = 034 = (02 x 10) x 2 - (02 x 3) = (020 x 2) - 06
          17 x 03 = 051 = (03 x 10) x 2 - (03 x 3) = (030 x 2) - 09
          17 x 04 = 068 = (04 x 10) x 2 - (04 x 3) = (040 x 2) - 12
          17 x 05 = 085 = (05 x 10) x 2 - (05 x 3) = (050 x 2) - 15
          17 x 06 = 102 = (06 x 10) x 2 - (06 x 3) = (060 x 2) - 18
          17 x 07 = 119 = (07 x 10) x 2 - (07 x 3) = (070 x 2) - 21
          17 x 08 = 136 = (08 x 10) x 2 - (08 x 3) = (080 x 2) - 24
          17 x 09 = 153 = (09 x 10) x 2 - (09 x 3) = (090 x 2) - 27
          17 x 10 = 170 = (10 x 10) x 2 - (10 x 3) = (100 x 2) - 30
Tip 3: Justify the answers with help of sums of digits.
          17 x 01 = 017 = 0 + 1 + 7 = 8
          17 x 02 = 034 = 0 + 3 + 4 = 7
          17 x 03 = 051 = 0 + 5 + 1 = 6
          17 x 04 = 068 = 0 + 6 + 8 = 14 = 1 + 4 = 5
          17 x 05 = 085 = 0 + 8 + 5 = 13 = 1 + 3 = 4
          17 x 06 = 102 = 1 + 0 + 2 = 3
          17 x 07 = 119 = 1 + 1 + 9 = 11 = 1 + 1 = 2
          17 x 08 = 136 = 1 + 3 + 6 = 10 = 1 + 1 = 1
          17 x 09 = 153 = 1 + 5 + 3 = 9
          17 x 10 = 170 = 1 + 7 + 0 = 8

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