Internal Concept of Times Table of Nineteen

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

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

          19 x 01 = 019

          19 x 02 = 038

          19 x 03 = 057

          19 x 04 = 076

          19 x 05 = 095

          19 x 06 = 114

          19 x 07 = 133

          19 x 08 = 152

          19 x 09 = 171

          19 x 10 = 190

Tip 1: Simply sum up the number twice then subtract the number from zero padded answer.

19 x 01 = 019 = ((01 x 2) x 10) - 01 = (02 x 10) - 01 = 020 - 01

19 x 02 = 038 = ((02 x 2) x 10) - 02 = (04 x 10) - 02 = 040 - 02

19 x 03 = 057 = ((03 x 2) x 10) - 03 = (06 x 10) - 03 = 060 - 03

19 x 04 = 076 = ((04 x 2) x 10) - 04 = (08 x 10) - 04 = 080 - 04

19 x 05 = 095 = ((05 x 2) x 10) - 05 = (10 x 10) - 05 = 100 - 05

19 x 06 = 114 = ((06 x 2) x 10) - 06 = (12 x 10) - 06 = 120 - 06

19 x 07 = 133 = ((07 x 2) x 10) - 07 = (14 x 10) - 07 = 140 - 07

19 x 08 = 152 = ((08 x 2) x 10) - 08 = (16 x 10) - 08 = 160 - 08

19 x 09 = 171 = ((09 x 2) x 10) - 09 = (18 x 10) - 09 = 180 - 09

19 x 10 = 190 = ((10 x 2) x 10) - 10 = (20 x 10) - 10 = 200 - 10

Tip 2: Justify the answers with help of sums of digits.

          19 x 01 = 019 = 0 + 1 + 9 = 10 = 1 + 0 = 1

          19 x 02 = 038 = 0 + 3 + 8 = 11 = 1 + 1 = 2

          19 x 03 = 057 = 0 + 5 + 7 = 12 = 1 + 2 = 3

          19 x 04 = 076 = 0 + 7 + 6 = 13 = 1 + 3 = 4

          19 x 05 = 095 = 0 + 9 + 5 = 14 = 1 + 4 = 5

          19 x 06 = 114 = 1 + 1 + 4 = 6

          19 x 07 = 133 = 1 + 3 + 3 = 7

          19 x 08 = 152 = 1 + 5 + 2 = 8

          19 x 09 = 171 = 1 + 7 + 1 = 9

          19 x 10 = 190 = 1 + 9 + 0 = 10 = 1 + 0 = 1