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The chapter covers the concept of exponents and their applications, including operations with positive and negative exponents, and expressing numbers in standard form. It emphasizes the laws that govern exponents and provides examples to help clarify these rules. Additionally, the chapter discusses how to represent very large and very small numbers, making them easier to interpret and manage.
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Sections
References
NCERT Study MaterialClass Notes
Memorization
What we have learnt
- Exponents allow us to simpl...
- Negative exponents represen...
- The laws of exponents apply...
Final Test
Revision Tests
Chapter FAQs
What we have learnt
- Exponents allow us to simplify and represent large and small numbers effectively.
- Negative exponents represent the multiplicative inverse of their positive counterparts.
- The laws of exponents apply to both positive and negative integers, allowing various algebraic manipulations.
Key Concepts
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Term: Exponent
Definition: An exponent represents the number of times a base is multiplied by itself.
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Term: Negative exponent
Definition: A negative exponent indicates the reciprocal of the base raised to the absolute value of the exponent.
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Term: Standard form
Definition: Standard form expresses numbers as a product of a number between 1 and 10 and a power of ten.
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Term: Laws of exponents
Definition: Rules that describe how to handle operations involving exponents, including am × an = am+n, am ÷ an = am-n.