ICSE Class 9 Maths | 1. Pure Arithmetic by Pavan | Learn Smarter
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1. Pure Arithmetic

1. Pure Arithmetic

Pure Arithmetic serves as a foundational aspect of mathematics, focusing on operations with real numbers, which are essential for both theoretical and practical applications. It covers various types of numbers, basic arithmetic operations, properties of real numbers, laws of exponents, and concepts of squares and cubes. The chapter also explores the rationalization process and different types of decimal representations, clarifying their significance and application in mathematics.

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  1. 1
    Pure Arithmetic

    Pure Arithmetic involves fundamental operations with real numbers and...

  2. 1.1
    Introduction To Pure Arithmetic

    Pure Arithmetic involves operations with real numbers, fundamental for...

  3. 1.2
    Types Of Numbers

    This section provides an overview of different types of numbers in...

  4. 1.3
    Operations On Real Numbers

    This section explores the basic operations on real numbers, including...

  5. 1.3.A
    Basic Operations

    Basic operations in mathematics involve addition, subtraction,...

  6. 1.3.B
    Properties Of Real Numbers

    This section discusses the fundamental properties of real numbers, including...

  7. 1.3.B.1
    Closure Property

    The Closure Property states that the addition and multiplication of real...

  8. 1.3.B.2
    Commutative Property

    The Commutative Property states that the order in which two numbers are...

  9. 1.3.B.2.1

    This section covers the concept of addition in pure arithmetic, including...

  10. 1.3.B.2.2
    Multiplication

    This section explains the concept of multiplication as repeated addition and...

  11. 1.3.B.3
    Associative Property

    The Associative Property states that the way numbers are grouped in addition...

  12. 1.3.B.3.1

    Addition is a basic arithmetic operation that combines two or more numbers...

  13. 1.3.B.3.2
    Multiplication

    Multiplication is the mathematical operation of repeated addition and is...

  14. 1.3.B.4
    Distributive Property

    The distributive property states that multiplying a number by a sum is the...

  15. 1.3.B.5
    Identity Elements

    This section explores the identity elements in mathematics, emphasizing the...

  16. 1.3.B.5.1
    Additive Identity

    The additive identity is the number that, when added to any other number,...

  17. 1.3.B.5.2
    Multiplicative Identity

    The Multiplicative Identity is the number that, when multiplied by any real...

  18. 1.4
    Laws Of Exponents (Indices)

    This section introduces the laws of exponents, which provide rules for...

  19. 1.5
    Squares And Square Roots

    This section introduces squares and square roots, emphasizing the importance...

  20. 1.6
    Cubes And Cube Roots

    This section explores the concepts of cubes and cube roots, detailing the...

  21. 1.7
    Rationalization

    Rationalization is the process of removing irrational numbers from the...

  22. 1.8
    Decimal Representations

    This section covers the concept of decimal representations, focusing on the...

What we have learnt

  • Pure Arithmetic encompasses operations involving real numbers, essential for advanced mathematical understanding.
  • Numbers are categorized into natural, whole, integers, rational, irrational, and real numbers.
  • Basic operations include addition, subtraction, multiplication, and division, governed by certain properties.

Key Concepts

Natural Numbers
Counting numbers that start from 1.
Rational Numbers
Numbers expressible in the form p/q where p and q are integers and q is not zero.
Exponents
Numbers indicating how many times a base is multiplied by itself.
Rationalization
The process of eliminating irrational numbers from the denominator of a fraction.
Decimal Representations
Types of decimal numbers categorized into terminating, recurring, and non-terminating.

Additional Learning Materials

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