Personal development for brains - Daretravels.com

Vedic mathematics is mental calculation. It is you doing flawless calculations in your head fast. So, get rid of your calculator and start using your head more efficiently. I’d like to think that being fast with calculations also increase your mind in other areas and make you do fast conclusions on alot of stuff.

Vedic mathematics consist of 16 main sutras (sanskrit). Learn these and you are off with a good start.

1. By one more than the one before

2. All from 9 and the last from 10

3. Vertically and Cross-wise

4. Transpose and Apply

5. If the Samuccaya is the Same it is Zero

6. If One is in Ratio the Other is Zero

7. By Addition and by Subtraction

8. By the Completion or Non-Completion

9. Differential Calculus

10. By the Deficiency

11. Specific and General

12. The Remainders by the Last Digit

13. The Ultimate and Twice the Penultimate

14. By One Less than the One Before

15. The Product of the Sum

16. All the Multipliers

Okey, there are sub sutras too but I will mainly focus on a few of the above, the most handy to know, to show you how this works.

Let’s start with the first sutra, by one more than the one before.

This sutra helps you figure out how to square numbers that ends with a 5; like 45², 25², 55² etc.

Okey, let’s look at 45². Start by squaring 5²=25. Then you take the 4 and multiply by one more, 5, and you get 20.

So, 45²=2025

25²= 2*3 and 25=625

55²=3025

Easy right?

Okey let’s move one to the next sutra, all from 9 and the last from 10.

This sutra is used for subtractions. It works for subtractions when you subtrack from numbers starting with a 1 followed by zeros, like 100, 1 000, 10 000 etc.

100-69= (9-6) and (10-9) = 31

So, all the numbers before the last number you subtrack from 9 and the last number from 10.

1 000-594= (9-5) and (9-9) and (10-4) = 406

10 000-6 437= (9-6), (9-4), (9-3), (10-7) = 3 563

10 000-489 = 10 000-0 489 = (9-0), (9-4), (9-8), (10-9) = 9 511

How hard was that?

Vertically and Crosswise is mainly used for multiplication and fractions.

Okey, let’s start with an example, 9*6.

9 1 = (10)
*

6 4 = (10)

——

5 4

You start by subtracking from 10 to get the right digits. Then you subtract crosswise to get the first figure, so either you go with (6-1) or (9-4), wich is 5. To get the last digit you just multiply 4 with 1 and gets 4.

7*8 = ?

7 3 = (10)
*

8 2 = (10)

——

5 6

(8-3) or (7-2) = 5

(3*2) = 6

Vertically and crosswise can also be used for numbers close to 100.

80*96 = ?

80 + 20 = (100)
*

96 + 4 = (100)

——-

76 80

(80-4) and (20*4)

Multiplying with numbers just over 100.

103 * 105 = (103+5) and (5*3) = 10815

101 * 123 = (101+23) and (1*23) = 12423

Let’s look at another example when you can use vertically and crosswise, fractions.

2/3 + 1/6

Here you multiply crosswise, 2*6 and 3*1 and then add them together, and then you multiply the lowest figures vertically, 3*6. So the result is (12+3)/18 = 15/18

5/7 + 3/4

((5*4) + (7*3))/(7*4) = (20+21)/28 = 41/28

You can use vertically and crosswise on all multiplications:

23*56 = ?

23
*

56

————

(2*5) and (6*2)+(5*3) and (6*3) = 10; 27; 18 = 1288

You add the 2 from 27 to the 10 and you add the 1 from 18 to the 7. Easy as hell.

56*78 = ?

56

*

78

————–

(5*7) and (5*8)+(7*6) and (8*6) = 35; 82; 48 = 4368

Multiplying by 11.

This is really a piece of cake. You just add the number together in the middle, like this:

45 * 11 = 4, the first digit. 4+5=9. 5, the last digit. = 495

79 * 11 = 869

234 * 11 = 2574

Dividing by 9.

This is not exactly the correct answers as you can see but very close. Can be used for assumptions.

34/9 = 3,7

3*9=27 and 4*9=36, so the only possible figure is 3. And the 7 you simply get from adding 3 and 4 together.

46/9 = 4 + 10 = 5 (you move over the 1 from 10 as I have showed before)

139/9 = 1 + 4 + 13 = 15,3 (the 1 comes from the first figure, the 4 from adding 1 and 3, 13 from adding 1,3 and 9.

That was easy wasn’t it? I hope you learn these simple tricks and use them in real life to keep your brain in shape.

To learn more about vedic mathematics and more simple tricks you can visit following websites:

All the vedic sutras

Vedic mathematics on Wikipedia

Vedic tutorials