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Number Systems

Each subtopic includes About section, revision page link, 10 preview questions, and practice CTAs.

Introduction to Number Systems

Subtopic

Introduction to Number Systems under Number Systems for Grade 9 CBSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    What do we call numbers that can be placed on a number line?

    A.

    Only Integers

    B.

    Only Rational numbers

    C.

    Real numbers

    D.

    Only Natural numbers

  2. 2.

    Which of the following represents a collection of negative integers?

    A.

    {1,2,3...}\{1, 2, 3...\}

    B.

    {0,1,2...}\{0, 1, 2...\}

    C.

    {...−3,−2,−1}\{...-3, -2, -1\}

    D.

    {...−2,−1,0}\{...-2, -1, 0\}

  3. 3.

    The decimal 0.750.75 expressed as a fraction is:

    A.

    34\frac{3}{4}

    B.

    14\frac{1}{4}

    C.

    23\frac{2}{3}

    D.

    12\frac{1}{2}

Download the worksheet for Number Systems - Introduction to Number Systems to practice offline. It includes additional chapter-level practice questions.

Irrational Numbers

Subtopic

Irrational Numbers under Number Systems for Grade 9 CBSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Which of the following numbers is irrational?

    A.

    1.21\sqrt{1.21}

    B.

    12.1\sqrt{12.1}

    C.

    121\sqrt{121}

    D.

    0.0121\sqrt{0.0121}

  2. 2.

    The value of 23+432\sqrt{3} + 4\sqrt{3} is:

    A.

    666\sqrt{6}

    B.

    636\sqrt{3}

    C.

    838\sqrt{3}

    D.

    2424

  3. 3.

    What is the type of the number 1000\sqrt{1000}?

    A.

    Rational

    B.

    Irrational

    C.

    Integer

    D.

    Whole number

Download the worksheet for Number Systems - Irrational Numbers to practice offline. It includes additional chapter-level practice questions.

Real Numbers and their Decimal Expansions

Subtopic

Real Numbers and their Decimal Expansions under Number Systems for Grade 9 CBSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    What is the decimal value of 78\frac{7}{8}?

    A.

    0.8750.875

    B.

    0.750.75

    C.

    0.850.85

    D.

    0.8250.825

  2. 2.

    A terminating decimal can always be written in the form pq\frac{p}{q} where pp and qq are integers and qq is:

    A.

    A power of 33

    B.

    00

    C.

    A power of 22 or 55 or both

    D.

    A prime number greater than 55

  3. 3.

    Which type of decimal expansion does 120\frac{1}{20} have?

    A.

    Terminating

    B.

    Non-terminating repeating

    C.

    Non-terminating non-repeating

    D.

    None of these

Download the worksheet for Number Systems - Real Numbers and their Decimal Expansions to practice offline. It includes additional chapter-level practice questions.

Representing Real Numbers on the Number Line

Subtopic

Representing Real Numbers on the Number Line under Number Systems for Grade 9 CBSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    If a point XX represents 5.755.75, then XX is the midpoint of the interval:

    A.

    [5,6][5, 6] icon

    B.

    [5.7,5.8][5.7, 5.8] icon

    C.

    [5.5,6.0][5.5, 6.0] icon

    D.

    [5.74,5.76][5.74, 5.76] icon

  2. 2.

    Which integer is immediately to the right of −1-1?

    A.

    −2-2

    B.

    00

    C.

    11

    D.

    None

  3. 3.

    What is the distance between −5-5 and −2-2 on the number line?

    A.

    −3-3 units

    B.

    77 units

    C.

    33 units

    D.

    −7-7 units

Download the worksheet for Number Systems - Representing Real Numbers on the Number Line to practice offline. It includes additional chapter-level practice questions.

Operations on Real Numbers

Subtopic

Operations on Real Numbers under Number Systems for Grade 9 CBSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    What is the product of (6+5)(\sqrt{6} + \sqrt{5}) and (6−5)(\sqrt{6} - \sqrt{5})?

    A.

    11

    B.

    1111

    C.

    1\sqrt{1}

    D.

    30\sqrt{30}

  2. 2.

    Simplify: 24+54\sqrt{24} + \sqrt{54}.

    A.

    78\sqrt{78}

    B.

    565\sqrt{6}

    C.

    656\sqrt{5}

    D.

    13613\sqrt{6}

  3. 3.

    The value of 111−10\frac{1}{\sqrt{11} - \sqrt{10}} after rationalizing is:

    A.

    11

    B.

    11+10\sqrt{11} + \sqrt{10}

    C.

    11−10\sqrt{11} - \sqrt{10}

    D.

    21\sqrt{21}

Download the worksheet for Number Systems - Operations on Real Numbers to practice offline. It includes additional chapter-level practice questions.

Laws of Exponents for Real Numbers

Subtopic

Laws of Exponents for Real Numbers under Number Systems for Grade 9 CBSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Evaluate the expression: 64−1364^{-\frac{1}{3}}.

    A.

    -4

    B.

    4

    C.

    14\frac{1}{4}

    D.

    18\frac{1}{8}

  2. 2.

    What is the value of 112⋅11111^{2} \cdot 11^{1}?

    A.

    121

    B.

    1331

    C.

    11

    D.

    22

  3. 3.

    Evaluate: (12)−3(\frac{1}{2})^{-3}.

    A.

    18\frac{1}{8}

    B.

    6

    C.

    8

    D.

    -8

Download the worksheet for Number Systems - Laws of Exponents for Real Numbers to practice offline. It includes additional chapter-level practice questions.

Number Systems - CBSE Class 9 Maths Notes & Revision | Krit.club