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    Vedic Math Sutra: Sutra-9 Chalana-Kalanabhyam

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    Chalana-Kalanabhyam” is a Sanskrit phrase used in Vedic Mathematics. The term translates to “by movement and by position.” It’s one of the sixteen Sutras, or word formulae, proposed by Sri Bharati Krishna Tirthaji in his book “Vedic Mathematics,” each of which he claimed represented a mathematical principle.

    The Chalana-Kalanabhyam Sutra mainly applies to simplify specific algebraic equations, especially quadratic and cubic ones.

    Recommended Reading: HOW VEDIC MATH CAN HELP GEN Z TO OVERCOME MATH FEAR

    Let’s take an example of how to apply the Chalana-Kalanabhyam Sutra for solving cubic equations.

    Consider the cubic equation

    x^3 – 6x^2 + 11x – 6 = 0

    This equation can be solved using Chalana-Kalanabhyam as follows:

    1. First, note the coefficients of the equation: 1 (for x^3), -6 (for x^2), 11 (for x), and -6 (the constant).
    2. Start by assuming the root of the equation to be ‘x.’ Consider ‘x’ and start by subtracting the coefficient x^2 from it, that is, x – (-6) = x + 6.
    3. Now, multiply this root with the coefficient of x (11) and subtract the constant term (-6). This gives (x + 6)*11 – 6. 
    4. If the result of this operation is zero, then we have found the root of the cubic equation. However, in this case, you will find that for x = 1, the result is indeed zero, making x = 1 a root of this cubic equation.
    5. The remaining roots can be found by dividing the original cubic equation by (x – 1), resulting in a quadratic equation that can be solved using standard methods.

    This example illustrates the use of Chalana-Kalanabhyam for solving cubic equations. However, remember that the applicability of this sutra is limited and does not extend to all types of equations.

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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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    Emily Smith
    Emily Smith
    7 months ago

    What are the 5 rules of Vedic Maths?

    Simran Chawla
    Editor
    Simran Chawla
    6 months ago
    Reply to  Emily Smith

    There are 5 basic rules of Vedic Maths; Nikhilam Sutra, Gyarasguna Sutra, Ekanunena Purneva Sutra, Antyaordasake Pi, and Navamguna Sutra. These rules deal with the multiplication operation.

    rose
    rose
    6 months ago

    How powerful is Vedic Maths?

    Simran Chawla
    Editor
    Simran Chawla
    6 months ago
    Reply to  rose

    Vedic math offers quicker mental calculation methods, subject to individual preference. Adoption in mainstream education varies, with opinions on its effectiveness differing among individuals.

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