Most people have memorized multiplication tables upto 10 only and it is very difficult task to learn tables upto 99. In this vedic trick you would learn to quickly make tables upto 99.
For example, Trick for Table of 12
Ist Step
| 12 | x | 1 | = | 1 | 2 |
| 12 | x | 2 | = | 2 | 4 |
| 12 | x | 3 | = | 3 | 6 |
| 12 | x | 4 | = | 4 | 8 |
| 12 | x | 5 | = | 5 | 10 |
| 12 | x | 6 | = | 6 | 12 |
| 12 | x | 7 | = | 7 | 14 |
| 12 | x | 8 | = | 8 | 16 |
| 12 | x | 9 | = | 9 | 18 |
| 12 | x | 10 | = | 10 | 20 |
Can you observe something in this table? Here, we have simply wrote table of 1 in blue colour and table of 2 in red colour.
Now IInd step
| 12 | x | 1 | = | 1 | 2 | = | 12 |
| 12 | x | 2 | = | 2 | 4 | = | 24 |
| 12 | x | 3 | = | 3 | 6 | = | 36 |
| 12 | x | 4 | = | 4 | 8 | = | 48 |
| 12 | x | 5 | = | 5 + | 10 | = | 60 |
| 12 | x | 6 | = | 6 + | 12 | = | 72 |
| 12 | x | 7 | = | 7 + | 14 | = | 84 |
| 12 | x | 8 | = | 8 + | 16 | = | 96 |
| 12 | x | 9 | = | 9 + | 18 | = | 108 |
| 12 | x | 10 | = | 10 + | 20 | = | 120 |
Can you observe something? Here we have simply wrote unit place of table of 2 as it is and after that when there is tens place of table of 2 we added with the unit place of table of 1. Our Table of 12 have easily made up.
Another Example, Trick for Table of 13
Ist Step
| 13 | x | 1 | = | 1 | 3 |
| 13 | x | 2 | = | 2 | 6 |
| 13 | x | 3 | = | 3 | 9 |
| 13 | x | 4 | = | 4 | 12 |
| 13 | x | 5 | = | 5 | 15 |
| 13 | x | 6 | = | 6 | 18 |
| 13 | x | 7 | = | 7 | 21 |
| 13 | x | 8 | = | 8 | 24 |
| 13 | x | 9 | = | 9 | 27 |
| 13 | x | 10 | = | 10 | 30 |
Can you observe something in this table? Here, we have simply wrote table of 1 in blue colour and table of 3 in red colour.
Now IInd step
| 13 | x | 1 | = | 1 | 3 | = | 13 |
| 13 | x | 2 | = | 2 | 6 | = | 26 |
| 13 | x | 3 | = | 3 | 9 | = | 39 |
| 13 | x | 4 | = | 4 + | 12 | = | 52 |
| 13 | x | 5 | = | 5 + | 15 | = | 65 |
| 13 | x | 6 | = | 6 + | 18 | = | 78 |
| 13 | x | 7 | = | 7 + | 21 | = | 91 |
| 13 | x | 8 | = | 8 + | 24 | = | 104 |
| 13 | x | 9 | = | 9 + | 27 | = | 117 |
| 13 | x | 10 | = | 10 + | 30 | = | 130 |
Can you observe something? Here we have simply wrote unit place of table of 3 as it is and after that when there is tens place of table of 3 we added with the unit place of table of 1. Our Table of 13 have easily made up.
Now Trick for Table of 16
Ist step
| 16 | x | 1 | = | 1 | 6 |
| 16 | x | 2 | = | 2 | 12 |
| 16 | x | 3 | = | 3 | 18 |
| 16 | x | 4 | = | 4 | 24 |
| 16 | x | 5 | = | 5 | 30 |
| 16 | x | 6 | = | 6 | 36 |
| 16 | x | 7 | = | 7 | 42 |
| 16 | x | 8 | = | 8 | 48 |
| 16 | x | 9 | = | 9 | 54 |
| 16 | x | 10 | = | 10 | 60 |
Can you observe something in this table? Here,we have simply wrote table of 1 in blue colour and table of 6 in red colour.
Now IInd step
| 16 | x | 1 | = | 1 | 6 | = | 16 |
| 16 | x | 2 | = | 2 + | 12 | = | 32 |
| 16 | x | 3 | = | 3 + | 18 | = | 48 |
| 16 | x | 4 | = | 4 + | 24 | = | 64 |
| 16 | x | 5 | = | 5 + | 30 | = | 80 |
| 16 | x | 6 | = | 6 + | 36 | = | 96 |
| 16 | x | 7 | = | 7 + | 42 | = | 112 |
| 16 | x | 8 | = | 8 + | 48 | = | 128 |
| 16 | x | 9 | = | 9 + | 54 | = | 144 |
| 16 | x | 10 | = | 10 + | 60 | = | 160 |
Can you observe something? Here we have simply wrote unit place of table of 6 as it is and we added the tens place of table of 6 with unit place of table of 1. Now our table of 16 easily have made up.
Now Take Another example
Trick for Table of 36
Ist Step
| 36 | x | 1 | = | 3 | 6 |
| 36 | x | 2 | = | 6 | 12 |
| 36 | x | 3 | = | 9 | 18 |
| 36 | x | 4 | = | 12 | 24 |
| 36 | x | 5 | = | 15 | 30 |
| 36 | x | 6 | = | 18 | 36 |
| 36 | x | 7 | = | 21 | 42 |
| 36 | x | 8 | = | 24 | 48 |
| 36 | x | 9 | = | 27 | 54 |
| 36 | x | 10 | = | 30 | 60 |
Can you observe something ? Here, we have simply wrote table of 3 in blue color and table of 6 in red color.
Now II Step
| 36 | x | 1 | = | 3 | 6 | = | 36 |
| 36 | x | 2 | = | 6 + | 12 | = | 72 |
| 36 | x | 3 | = | 9 + | 18 | = | 108 |
| 36 | x | 4 | = | 12 + | 24 | = | 144 |
| 36 | x | 5 | = | 15 + | 30 | = | 180 |
| 36 | x | 6 | = | 18 + | 36 | = | 216 |
| 36 | x | 7 | = | 21 + | 42 | = | 252 |
| 36 | x | 8 | = | 24 + | 48 | = | 288 |
| 36 | x | 9 | = | 27 + | 54 | = | 324 |
| 36 | x | 10 | = | 30 + | 60 | = | 360 |
Can you observe something? Here we have simply wrote unit place of table of 6 as it is and we added the tens place of table of 6 with unit place of table of 3. Now our table of 36 easily have made up.
Now we will try to make
Trick for Table of 78
Ist Step
| 78 | x | 1 | = | 7 | 8 |
| 78 | x | 2 | = | 14 | 16 |
| 78 | x | 3 | = | 21 | 24 |
| 78 | x | 4 | = | 28 | 32 |
| 78 | x | 5 | = | 35 | 40 |
| 78 | x | 6 | = | 42 | 48 |
| 78 | x | 7 | = | 49 | 56 |
| 78 | x | 8 | = | 56 | 64 |
| 78 | x | 9 | = | 63 | 72 |
| 78 | x | 10 | = | 70 | 80 |
Can you observe something? Here, we have simply wrote table of 7 in blue color and table of 8 in red color.
Now II Step
| 78 | x | 1 | = | 7 | 8 | = | 78 |
| 78 | x | 2 | = | 14 + | 16 | = | 156 |
| 78 | x | 3 | = | 21 + | 24 | = | 234 |
| 78 | x | 4 | = | 28 + | 32 | = | 312 |
| 78 | x | 5 | = | 35 + | 40 | = | 390 |
| 78 | x | 6 | = | 42 + | 48 | = | 468 |
| 78 | x | 7 | = | 49 + | 56 | = | 546 |
| 78 | x | 8 | = | 56 + | 64 | = | 624 |
| 78 | x | 9 | = | 63 + | 72 | = | 702 |
| 78 | x | 10 | = | 70 + | 80 | = | 780 |
Can you observe something? Here we have simply wrote unit place of table of 8 as it is and we added the tens place of table of 8 with unit place of table of 7. Now our difficult table of 78 easily have made up.
These are examples of making tables and this trick will be the same for making tables upto 99. Try to make some tables for yourself it will help you a lot for solving mathematical problems.
Similarly Try to Make Tables and Solve this Exercise Set