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

Internal Concept of Times Table of Sixteen

Now let’s have a look on the table of sixteen.

Here is the table of sixteen as given in textbooks etc.

          16 x 01 = 016

          16 x 02 = 032

          16 x 03 = 048

          16 x 04 = 064

          16 x 05 = 080

          16 x 06 = 096

          16 x 07 = 112

          16 x 08 = 128

          16 x 09 = 144

          16 x 10 = 160

Simply Padding Zero at the End of the number then sum up the same number with answer and answer of multiplying number five times to get the table of sixteen.

          16 x 01 = 016 = (01 x 10) + (01 x 5) + 01 = 010 + 05 + 01

          16 x 02 = 032 = (02 x 10) + (02 x 5) + 02 = 020 + 10 + 02

          16 x 03 = 048 = (03 x 10) + (03 x 5) + 03 = 030 + 15 + 03

          16 x 04 = 064 = (04 x 10) + (04 x 5) + 04 = 040 + 20 + 04

          16 x 05 = 080 = (05 x 10) + (05 x 5) + 05 = 050 + 25 + 05

          16 x 06 = 096 = (06 x 10) + (06 x 5) + 06 = 060 + 30 + 06

          16 x 07 = 112 = (07 x 10) + (07 x 5) + 07 = 070 + 35 + 07

          16 x 08 = 128 = (08 x 10) + (08 x 5) + 08 = 080 + 40 + 08

          16 x 09 = 144 = (09 x 10) + (09 x 5) + 09 = 090 + 45 + 09

          16 x 10 = 160 = (10 x 10) + (10 x 5) + 10 = 100 + 50 + 10

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

Internal Concept of Times Table of Fourteen

Now let’s have a look on the table of fourteen.

Here is the table of fourteen as given in textbooks etc.

          14 x 01 = 014

          14 x 02 = 028

          14 x 03 = 042

          14 x 04 = 056

          14 x 05 = 070

          14 x 06 = 084

          14 x 07 = 098

          14 x 08 = 112

          14 x 09 = 126

          14 x 10 = 140

Simply Padding Zero at the End of the number then sum up the same number four times with answer to get the table of fourteen.

          14 x 01 = 014 = (01 x 10) + (01 x 4) = 010 + 04

          14 x 02 = 028 = (02 x 10) + (02 x 4) = 020 + 08

          14 x 03 = 042 = (03 x 10) + (03 x 4) = 030 + 12

          14 x 04 = 056 = (04 x 10) + (04 x 4) = 040 + 16

          14 x 05 = 070 = (05 x 10) + (05 x 4) = 050 + 20

          14 x 06 = 084 = (06 x 10) + (06 x 4) = 060 + 24

          14 x 07 = 098 = (07 x 10) + (07 x 4) = 070 + 28

          14 x 08 = 112 = (08 x 10) + (08 x 4) = 080 + 32

          14 x 09 = 126 = (09 x 10) + (09 x 4) = 090 + 36

          14 x 10 = 140 = (10 x 10) + (10 x 4) = 100 + 40