# 29 Vedic maths formulas

Vedic Maths is a system of Mental Calculation and reasoning. Vedic maths formulas is a mathematical concept based on ancient Indian scripts called Veda. It is fast, efficient and easy to learn. Vedic mathematics is a very versatile and a majority of the time it is very helpful to solve the tedious question of arithmetic and algebraic operations in a simple and fast way.

Vedic Maths book was written by the Priest Bharati Krishna Tirthaji and first published in 1965. The Vedic maths contains 16 sutras (formulas) and 13 sub-sutras(corollary).

Today I am discussing all the Vedic maths formulas. Basically, all the sutra are written in Sanskrit name. It will be difficult to understand who don’t know Sanskrit but don’t worry here I am writing the English name simultaneously.

**List of All Sutra in Sanskrit ( Vedic maths formulas)**

**1. Ekadhikena Purvena: **By one more than the previous one –

**Application:** This Vedic maths formula is useful to find the Square of all number who end with five.

**Steps to Solve:** Let Suppose 25, 35, 65… The square of these number always ends with 25 and begins with the multiple of tens digit number with Just one more than the integer.

**Example:**

Square of 25 is 2 x 3 .. 25 = 625.

Square of 35 is 3 x 4 .. 25 = 1225.

Square of 65 is 6 x 7 .. 25 = 4225.

**2. Nikhilam Navatashcaramam Dashatah: **All from 9 and the last from 10

**Application:** This Vedic maths formula is For multiplication of any numbers nearer to 10 or multiple of 10.

**Steps to Solve: **

- Subtract the numbers with their closest multiple of 10 and multiply the subtracted value to each other.
- Write the result of Step 1 in the beginning and result of Step 1 at the end.

**Example: **

**98 x 96 = ?**

100 – 98 = 2 and 100 – 96 = 4 , Now : 2 x 4 = 08

99 – 4 or 96 – 1 = **95, **

So, our answer is 9508

**3. Urdhva-Tiryagbyham: **Vertically and crosswise

**Application**: For multiplication of any two numbers.

**Step to Solve: **Here I am a discussion about the only two-digit multiplication of numbers.

- Multiply the last digit(rightmost) to each other.
- Now, Multiply the numbers digit crosswise and add them.
- Multiply the first digit(leftmost) of both the number and put it at the most beginning.
- if the number or more then one digit then write the first number and rest is carry forward to the next left.

**Example :**

**45 x 87 = ? 35 x 72 =?**

5 x 2 = 10

(3 x 2) + (5 x 7) = 6 + 35 = 41

7 x 3 = 21

35 x 72 = 21 | 41 | 10 = 2520

**4. Paravartya Yojayet: **Transpose and adjust

**Application:** this rule is for dividing large numbers by number greater than 10.

Example: 4356 divided by 17.

**5. Shunyam Saamyasamuccaye: When the sum is the same that amount is zero**

**6. Anurupye Shunyamanyat: If one is in ratio, the other is zero**

**7. Sankalana-vyavakalanabhyam : By addition and by subtraction**

**8. Puranapuranabyham : By the completion or non-completion**

**9. Chalana-Kalanabyham : Differences and Similarities**

**10. Yavadunam : Whatever the extent of its deficiency**

**11. Vyashtisamasthi : Part and Whole**

**12. Shesanyankena Charamena : The remainders by the last digit**

**13. Sopaantyadvayamantyam : The ultimate and twice the penultimate**

**14. Ekanyunena Purvena : By one less than the previous one**

**15. Gunitasamuchyah : The product of the sum is equal to the sum of the product**

**16. Gunakasamuchyah : The factors of the sum are equal to the sum of the factors**

**Sutra corollary:**

**Anurupyena****Sisyate Sesasamjnah****Adyamadyenantyamantyena****Kevalaih Saptakam Gunyah****Vestanam When the sum is the same that amount is zero****Yavadunam Tavadunam****Yavadunam Tavadunikritya Varga Yojayet****Antyayordashake’pi****Antyayoreva Differences and Similarities****Samuccayagunitah****Lopanasthapanabhyam****Vilokanam****Gunitasamuccayah Samuccayagunitah****Dhvajanka****Dwandwa Yoga****Adyam Antyam Madhyam**

## Conclusion:

this article is just the introduction of the topic of Vedic maths formulas and I am not going in many details. I just give you the name of the formula and some examples. in the upcoming days, I will update the article with more details and example. stay connected and if you have any doubt just comment below.