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    Vedic Math Sutra: Sutra 4- Paravartya Yojayet

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    Paryavarta Yojayet can be translated as “Transpose and Apply.” Transpose refers to exchanging or swapping the positions of two elements. In the context of mathematical operations, it can involve transforming one operation into another. 

    Recommended Reading: MATH ANXIETY: SYMPTOMS, CAUSES, AND HOW TO OVERCOME

    For example, subtraction can be transposed into addition in specific formulas.

    Transpose and Apply are commonly used when dividing numbers where the divisor is slightly greater than any power of 10 and starts with 1. 

    Let’s say you want to divide a large number (dividend) by a smaller number (divisor).

    Find the complement of the divisor, which means subtracting each digit of the divisor from 9. 

    For example, if the divisor is 24, its complement would be 75 (9 – 2 = 7 and 9 – 4 = 5).

    Divide the dividend by the divisor, ignoring any remainders, and write down the quotient.

    Multiply the quotient obtained in step 3 by the complement of the divisor and write down the result.

    Subtract the result obtained in step 4 from the dividend, and write down the remainder.

    If there are more digits in the dividend, bring down the next digit and repeat steps 3 to 5 until all the numbers have been processed.

    The final result will be the concatenation of the quotients obtained in Step 3, and the remainder obtained in Step 5 will be the remainder of the division.

    Let’s illustrate this method with an example

    Divide 785 by 24.

    Complement of 24: 9 – 2 = 7, and 9 – 4 = 5.

    So the complement is 75.

    Divide 785 by 24: Quotient = 32 (ignore the remainder).

    Multiply the quotient by the complement: 32 x 75 = 2400.

    Subtract 2400 from 785: 785 – 2400 = -1615 (negative value indicates remainder).

    Since we have no more digits in the dividend, the final result is the quotient obtained: 32, and the remainder is -1615.

    Therefore, the division of 785 by 24 using the Paravartya Yojayet method gives a quotient of 32 and a remainder of -1615.

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    16 Sutras of Vedic Maths

    Moonpreneur

    Moonpreneur

    Moonpreneur is an ed-tech company that imparts tech entrepreneurship to children aged 6 to 15. Its flagship offering, the Innovator Program, offers students a holistic learning experience that blends Technical Skills, Power Skills, and Entrepreneurial Skills with streams such as Robotics, Game Development, App Development, Advanced Math, Scratch Coding, and Book Writing & Publishing.
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    4 Comments
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    rose
    rose
    7 months ago

    What are the 4 main Vedas?

    elena
    elena
    7 months ago
    Reply to  rose

    Four main types of Vedas are the Rigveda, Samaveda, Yajurveda, and Atharvaveda.

    Jane
    Jane
    6 months ago

    Who originally wrote Vedas?

    Rahul
    Rahul
    5 months ago
    Reply to  Jane

    Veda Vyasa is believed to have compiled them in written form.

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