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Multiplication (Vedic Mathematics)

1. Multiplication (AB × AC) This method of multiplication is derived from the second sutra of Vedic Mathematics, known as the “Nikhilam Sutra” . It is a special case of multiplication of two 2-digit numbers, where the sum of the last digits of the two numbers is equal to 10 and the first digits of the two numbers are same. For example, if there are two numbers ab and aq such that b + q = 10, then this Vedic method can be applied. Watch the following video to understand the method: Solved Examples Example 1: Calculate 43 × 47 Solution: Tens digits: Same (4) Units digits: Sum = 10 (3 + 7) ∴43 × 47 = {Tens digit × (Tens digit + 1)} (Product of units digits) = (4 × 5) (3 × 7) = 2021 Example 2: Calculate 66 × 64 Solution: Tens digits: Same (6) Units digits: Sum = 10 (6 + 4) ∴66 × 64 = {Tens digit × (Tens digit + 1)} (Product of units digits) = (6 × 7) (6 × 4) = 4224 2. Multiplication Method – I (Deficit Method of Multiplication) The Deficit method of

Addition and Subtraction (Vedic Mathematics)

1. Addition Addition is the basis of every mathematical calculation and is the most important arithmetic operator used in everyday calculations. Using the following method, one can do additions mentally. Watch the following video to learn the method. Note: This method is not described in Vedic Mathematics, but is very useful for calculating the sum of two numbers mentally. Solved Examples Example 1: Calculate 459 + 874 Solution: Example 2: Calculate 604 + 794 Solution: 2. Subtraction Subtraction is an integral part of everyday calculations. The Vedic method of subtraction is based on the second sutra of Vedic Mathematics, which is known as the “ Nikhilam sutra ”, meaning “ all from 9 and last from 10 ”. It deals with the subtraction of numbers, from number of the form 10 n , where n ∈ N , i.e., 10, 100, 1000, etc. Look at the following video to understand the method: Solved Examples Example 1: Calculate 1000 − 588 Solution: ∴ 1000 − 588 = 412