# Vedic Maths - Introduction Vedic Mathematics is a system of mathematics consisting of a list of 16 basic sutras, or aphorisms. They were presented by a Hindu scholar and mathematician, Bharati Krishna Tirthaji Maharaja, during the early part of the 20th century.

The calculation strategies provided by Vedic mathematics are said to be creative and useful, and can be applied in a number of ways to calculation methods in arithmetic and algebra.

16 Sutras translated in English (from Sanskrit) are:

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 Sums
16. All the Multipliers

It is amazing that with the help of Vedic Mathematics, you will be able to solve or calculate complex mathematical problems mentally.

### 1. By one more than the previous one

Square of numbers ending in 5

65 × 65 = (6 × (6+1)) 25 = (6×7) 25 = 4225

45 × 45 = (4 × (4+1)) 25 = (4×5) 25 = 2025

105 × 105 = (10 × (10+1)) 25 = (10×11) 25 = 11025

When sum of the last digits is 10 and previous parts are the same

44 × 46 = (4 × (4+1)) (4 × 6) = (4 × 5) (4 × 6) = 2024

37 × 33 = (3 × (3+1)) (7 × 3) = (3 × 4) (7 × 3) = 1221

11 × 19 = (1 × (1+1)) (1 × 9) = (1 × 2) (1 × 9) = 209