Question

explore Vedic maths and write any three rules of Vedic maths with 5 examples of each.

Answer 1

The 3 Sutras of Vedic Maths

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

For any integer ending with 5, the square always ends with 25 and begins with the multiple of previous integer and one more than the integer. For example:

Square of 25 is 2 x 3 .. 25 = 625.Square of 85 is 8 x 9 .. 25 = 7225

2. Nikhilam Navatascaravam Dasatah – All from 9 and the last from 10

For multiplication of any numbers near to less than multiple of 10,

Step 1: Subtract the numbers with their closest multiple of 10 and multiply the results.Step 2: Subtract the results with other numbers.Step 3: Write result of Step 2 in the beginning and result of Step 1 at the end.

For example: 99 x 96 = ?

100 – 99 = 1 and 100 – 96 = 4
1 x 4 = 04
99 – 4 or 96 – 1 = 95
95 and 04

So, the answer is 9504

Example II : 94 x 83 = ?

100 – 94 = 6 and 100 – 83 = 17
6 x 17 = 102
94 – 17 or 83 – 6 = 77

So, the answer is 7802

3. Urdva – Triyagbhyam – Vertically and crosswise

For multiplication of any two two-digit numbers,

Step 1: Multiply the last digitStep 2: Multiply numbers diagonally and add them.Step 3: Place Step 1 at the end and Step 2 at the beginning.Step 4: Multiply the first digit of both the number and put it at the most beginning.Step 5: For the result, more than 2 or more digits, add the beginning digits to the beginning numbers.

Example : 45 x 87 = ?

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