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Tag: Exponents and Powers

  • Exponents and Powers | Study

  • Exponents And Powers | Study

  • Exponents and Powers | Study

  • Exponents And Powers | Study

  • Exponents and Powers | Study

    Exponents and Powers | Study

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    Exponents and Powers Exponents | Speed Notes

    Notes For Quick Recap

    Exponents are used to express large numbers in shorter form to make them easy to read, understand, compare and operate upon. (Scroll down to continue …)

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    Expressing Large Numbers in the Standard Form: Any number can be expressed as a decimal number between 1.0 and 10.0 (including 1.0) multiplied by a power of 10. Such form of a number is called its standard form or scientific motion. Very large numbers are difficult to read, understand, compare and operate upon. To make all these easier, we use exponents, converting many of the large numbers in a shorter form. The following are exponential forms of some numbers?

    Here, 10, 3 and 2 are the bases, whereas 4, 5 and 7 are their respective exponents. We also say, 10,000 is the 4th power of 10, 243 is the 5th power of 3, etc. Numbers in exponential form obey certain laws, which are: For any non-zero integers a and b and whole numbers m and n,

    (g) (–1) even number = 1 (–1) odd number = – 1

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    • Exponents And Powers | Study

      Exponents And Powers | Study

      Assess
      Interact

      Pre-Requisires

      Test & Enrich

      Pre – Requisite
      English Version

      Exponents and Powers | Speed Notes

      Notes For Quick Recap

      Numbers with exponents obey the following laws of exponents. 

      Very small numbers can be expressed in standard form using negative exponents. (Scroll down to continue …)

      Study Tools

      Audio, Visual & Digital Content

      Use of Exponents to Express Small Number in Standard form:

      1. Very large and very small numbers can be expressed in standard form.
      2. Standard form is also called scientific notation form.

      (iii) A number written as number such that is said to be in standard form if m is a decimal and n is either a positive or a negative integer.

      Examples: 150,000,000,000 = 1.5 x 1011.

      Exponential notation is a powerful way to express repeated multiplication of the same number.

      For any non-zero rational number ‘a’ and a natural number n, the product a x a x a x x a(n times) = an.

      It is known as the nth power of ‘a’ and is read as ‘a’ raised to the power n’.

      The rational number a is called the base and n is called exponent.

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      • Exponents and Powers | Study

        Exponents and Powers | Study

        Assess
        Interact

        Pre-Requisires

        Test & Enrich

        Pre – Requisite
        English Version

        Exponents and Powers Exponents | Speed Notes

        Notes For Quick Recap

        Exponents are used to express large numbers in shorter form to make them easy to read, understand, compare and operate upon. (Scroll down to continue …)

        Study Tools

        Audio, Visual & Digital Content

        Expressing Large Numbers in the Standard Form: Any number can be expressed as a decimal number between 1.0 and 10.0 (including 1.0) multiplied by a power of 10. Such form of a number is called its standard form or scientific motion. Very large numbers are difficult to read, understand, compare and operate upon. To make all these easier, we use exponents, converting many of the large numbers in a shorter form. The following are exponential forms of some numbers?

        Here, 10, 3 and 2 are the bases, whereas 4, 5 and 7 are their respective exponents. We also say, 10,000 is the 4th power of 10, 243 is the 5th power of 3, etc. Numbers in exponential form obey certain laws, which are: For any non-zero integers a and b and whole numbers m and n,

        (g) (–1) even number = 1 (–1) odd number = – 1

        Hindi Version

        Dig Deep

        Topic Level Resources

        Sub – Topics

        Select A Topic

        Topic:

        Chapters Index

        Select Another Chapter

        [display-posts category=”CBSE 7 – Mathematics – Study – Premium” posts_per_page=”25″]

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        • Exponents And Powers | Study

          Exponents And Powers | Study

          Assess
          Interact

          Pre-Requisires

          Test & Enrich

          Pre – Requisite
          English Version

          Exponents and Powers | Speed Notes

          Notes For Quick Recap

          Numbers with exponents obey the following laws of exponents. 

          Very small numbers can be expressed in standard form using negative exponents. (Scroll down to continue …)

          Study Tools

          Audio, Visual & Digital Content

          Use of Exponents to Express Small Number in Standard form:

          1. Very large and very small numbers can be expressed in standard form.
          2. Standard form is also called scientific notation form.

          (iii) A number written as number such that is said to be in standard form if m is a decimal and n is either a positive or a negative integer.

          Examples: 150,000,000,000 = 1.5 x 1011.

          Exponential notation is a powerful way to express repeated multiplication of the same number.

          For any non-zero rational number ‘a’ and a natural number n, the product a x a x a x x a(n times) = an.

          It is known as the nth power of ‘a’ and is read as ‘a’ raised to the power n’.

          The rational number a is called the base and n is called exponent.

          Hindi Version

          Dig Deep

          Topic Level Resources

          Sub – Topics

          Select A Topic

          Topic:

          Chapters Index

          Select Another Chapter

          [display-posts category=”CBSE 8 – Mathematics – Study – Premium” posts_per_page=”25″]

          Assessments

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