What are the rules of vedic maths with examples?

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Rajesh Kumar N

"Rajesh Kumar N: Guiding Young Minds from 1 to 12 with Expertise and Care"

Simplify using sutras like Nikhilam (e.g., ), Urdhva-Tiryagbhyam (e.g., vertical multiplication).
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Vedic Maths is based on 16 Sutras (formulas) and 13 Sub-sutras (sub-formulas), which simplify mathematical calculations. Here are some key rules with examples: 1. Ekadhikena Purvena (One More than the Previous) Used for calculating the square of numbers ending in 5. Example: 35² : Multiple...
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Vedic Maths is based on 16 Sutras (formulas) and 13 Sub-sutras (sub-formulas), which simplify mathematical calculations. Here are some key rules with examples: 1. Ekadhikena Purvena (One More than the Previous) Used for calculating the square of numbers ending in 5. Example: 35² : Multiple Multiply 3×(3+1)=12 , then add 25 Ans:- 1225. 2. Nikhilam Navatashcaramam Dashatah (All from 9 and Last from 10) Used for multiplication of numbers close to a base (like 10, 100). Example: 98×97: Subtract each from 100 -2, -3, multiple -3 × -2 = 6, subtract diagonally 98-3 = 95 , Ans:- 9506. 3. Paravartya Yojayet (Transpose and Apply) Used for division. Example: Divide 1234 by 9, Write reciprocal of 9 as 0.1 ,Perform successive division to get the quotient 137.1 4.Urdhva Tiryagbhyam (Vertically and Crosswise) Used for multiplication of two-digit numbers. Example: 12×13: multiple vertically , 2× 3 = 6. Cross Multiple (1× 3) + ( 2×1) = 5 , multiple 1 × 1 = 1 , Ans:- 156. 5. Sunyam Samyasamuccaye (When the Samuccaya is the Same, it is Zero) Useful for solving algebraic expressions: (X + 3) (X + 4) = ( X + 2 ) (X + 5) Cancel common terms and simplify Ans:- x = 7 . These sutras are flexible and can be adapted to a wide range of mathematical problems, making calculations faster and more intuitive. read less
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