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Number System Class 9 ,All Concepts ,Very Important Lecture #numbersystem
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This Lecture:   • Number System Class 9th #numbersystem #mat...  

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Key Topics Covered:

Natural Numbers and Whole Numbers
surds and Radicals
Exponenets and Powers
Surds and Indices
Types Of Surds


Integers and Rational Numbers

Irrational Numbers – Numbers like √2, π, etc.

Real Numbers – Combination of rational and irrational numbers

Representation on the Number Line

Operations on Real Numbers

Laws of Exponents for Real Numbers

Decimal Expansion of Real Numbers

Terminating

Non-terminating repeating

Non-terminating non-repeating

This chapter builds a strong base for higher classes and is very important for understanding algebra, coordinate geometry, and real-world applications in maths.

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#RationalNumbers

#IrrationalNumbers

#RealNumbers

#NumberLine

#LawsOfExponents

#SurdsAndIndices

#DecimalExpansion

#TerminatingDecimals

#NonTerminatingRepeating

Natural Numbers (ℕ) – Counting numbers starting from 1, 2, 3, ...

Whole Numbers (W) – Natural numbers + 0

Integers (ℤ) – Positive, negative numbers and zero (…, -3, -2, -1, 0, 1, 2, 3, …)

Rational Numbers (ℚ) – Numbers that can be written as a fraction p/q, where q ≠ 0

Irrational Numbers – Numbers that cannot be written as a simple fraction (e.g., √2, π)

Real Numbers (ℝ) – Set of rational + irrational numbers

Number Line – A straight line to represent real numbers visually

Terminating Decimal – A decimal that ends (e.g., 0.75)

Non-Terminating Repeating Decimal – A decimal that continues but has a repeating pattern (e.g., 0.333…)

Non-Terminating Non-Repeating Decimal – A decimal that continues without any pattern (e.g., π, √2)

Surd – An irrational number in root form (e.g., √5)

Exponent – Power or index (e.g., 2³ = 8)

Laws of Exponents – Rules to simplify expressions with powers

Prime Number – A number greater than 1 that has exactly two factors: 1 and itself

Composite Number – A number with more than two factors
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