Showing posts with label Times Table. Show all posts
Showing posts with label Times Table. Show all posts

Thursday, September 3, 2015

Internal Concept of Times Table of Twenty

Now let’s have a look on the table of twenty.
Here is the table of twenty as given in textbooks etc.
          20 x 01 = 020
          20 x 02 = 040
          20 x 03 = 060
          20 x 04 = 080
          20 x 05 = 100
          20 x 06 = 120
          20 x 07 = 140
          20 x 08 = 160
          20 x 09 = 180
          20 x 10 = 200
Tip 1: Simply sum up the number twice then pad the zero at the end of answer.
20 x 01 = 020 = (01 x 2) x 10 = (01 + 01) x 10 = 02 x 10
20 x 02 = 040 = (02 x 2) x 10 = (02 + 02) x 10 = 04 x 10
20 x 03 = 060 = (03 x 2) x 10 = (03 + 03) x 10 = 06 x 10
20 x 04 = 080 = (04 x 2) x 10 = (04 + 04) x 10 = 08 x 10
20 x 05 = 100 = (05 x 2) x 10 = (05 + 05) x 10 = 10 x 10
20 x 06 = 120 = (06 x 2) x 10 = (06 + 06) x 10 = 12 x 10
20 x 07 = 140 = (07 x 2) x 10 = (07 + 07) x 10 = 14 x 10
20 x 08 = 160 = (08 x 2) x 10 = (08 + 08) x 10 = 16 x 10
20 x 09 = 180 = (09 x 2) x 10 = (09 + 09) x 10 = 18 x 10
20 x 10 = 200 = (10 x 2) x 10 = (10 + 10) x 10 = 20 x 10
Tip 2: Justify the answers with help of sums of digits.
          20 x 01 = 020 = 0 + 2 + 0 = 2
          20 x 02 = 040 = 0 + 4 + 0 = 4
          20 x 03 = 060 = 0 + 6 + 0 = 6
          20 x 04 = 080 = 0 + 8 + 0 = 8
          20 x 05 = 100 = 1 + 0 + 0 = 1
          20 x 06 = 120 = 1 + 2 + 0 = 3
          20 x 07 = 140 = 1 + 4 + 0 = 5
          20 x 08 = 160 = 1 + 6 + 0 = 7
          20 x 09 = 180 = 1 + 8 + 0 = 9
          20 x 10 = 200 = 2 + 0 + 0 = 2

Wednesday, September 2, 2015

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

Tuesday, September 1, 2015

Internal Concept of Times Table of Eighteen

Now let’s have a look on the table of eighteen.
Here is the table of eighteen as given in textbooks etc.
          18 x 01 = 018
          18 x 02 = 036
          18 x 03 = 054
          18 x 04 = 072
          18 x 05 = 090
          18 x 06 = 108
          18 x 07 = 126
          18 x 08 = 144
          18 x 09 = 162
          18 x 10 = 180
Tip 1: Simply sum up the number twice then subtract the answer from zero padded answer.
18 x 01 = 018 = ((01 x 2) x 10) - (01 x 2) = (02 x 10) - 02 = 020 - 02
18 x 02 = 036 = ((02 x 2) x 10) - (02 x 2) = (04 x 10) - 04 = 040 - 04
18 x 03 = 054 = ((03 x 2) x 10) - (03 x 2) = (06 x 10) - 06 = 060 - 06
18 x 04 = 072 = ((04 x 2) x 10) - (04 x 2) = (08 x 10) - 08 = 080 - 08
18 x 05 = 090 = ((05 x 2) x 10) - (05 x 2) = (10 x 10) - 10 = 100 - 10
18 x 06 = 108 = ((06 x 2) x 10) - (06 x 2) = (12 x 10) - 12 = 120 - 12
18 x 07 = 126 = ((07 x 2) x 10) - (07 x 2) = (14 x 10) - 14 = 140 - 14
18 x 08 = 144 = ((08 x 2) x 10) - (08 x 2) = (16 x 10) - 16 = 160 - 16
18 x 09 = 162 = ((09 x 2) x 10) - (09 x 2) = (18 x 10) - 18 = 180 - 18
18 x 10 = 180 = ((10 x 2) x 10) - (10 x 2) = (20 x 10) - 20 = 200 - 20
Tip 2: Justify the answers with help of sums of digits.
          18 x 01 = 018 = 0 + 1 + 8 = 9
          18 x 02 = 036 = 0 + 3 + 6 = 9
          18 x 03 = 054 = 0 + 5 + 4 = 9
          18 x 04 = 072 = 0 + 7 + 2 = 9
          18 x 05 = 090 = 0 + 9 + 0 = 9
          18 x 06 = 108 = 1 + 0 + 8 = 9
          18 x 07 = 126 = 1 + 2 + 6 = 9
          18 x 08 = 144 = 1 + 4 + 4 = 9
          18 x 09 = 162 = 1 + 6 + 2 = 9
          18 x 10 = 180 = 1 + 8 + 0 = 9

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