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Real Numbers

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

Fundamental Theorem of Arithmetic

Subtopic

Fundamental Theorem of Arithmetic under Real Numbers for Grade 10 CBSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    The prime factorization of 10001000 is:

    A.

    10310^3

    B.

    23×532^3 \times 5^3

    C.

    22×522^2 \times 5^2

    D.

    2×52 \times 5

  2. 2.

    The LCM of 1010, 2020, and 3030 is:

    A.

    3030

    B.

    6060

    C.

    120120

    D.

    600600

  3. 3.

    The sum of the exponents in the prime factorization of 1212 is:

    A.

    22

    B.

    33

    C.

    44

    D.

    11

Download the worksheet for Real Numbers - Fundamental Theorem of Arithmetic to practice offline. It includes additional chapter-level practice questions.

Proofs of Irrationality

Subtopic

Proofs of Irrationality under Real Numbers for Grade 10 CBSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    The difference π−π\pi - \pi is:

    A.

    Irrational

    B.

    Rational

    C.

    π\pi

    D.

    Not defined

  2. 2.

    Any number that can be expressed as p/qp/q where p,qp, q are integers and q≠0q \neq 0 is called:

    A.

    An irrational number

    B.

    A rational number

    C.

    A prime number

    D.

    A complex number

  3. 3.

    Identify the simplest form of 32\sqrt{32}.

    A.

    242\sqrt{4}

    B.

    424\sqrt{2}

    C.

    16216\sqrt{2}

    D.

    8

Download the worksheet for Real Numbers - Proofs of Irrationality to practice offline. It includes additional chapter-level practice questions.

Decimal Expansions of Rational Numbers

Subtopic

Decimal Expansions of Rational Numbers under Real Numbers for Grade 10 CBSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    The decimal representation of 322×51\frac{3}{2^2 \times 5^1} is:

    A.

    0.15

    B.

    0.3

    C.

    0.03

    D.

    0.6

  2. 2.

    What is the decimal expansion of 115\frac{11}{5}?

    A.

    2.2

    B.

    1.1

    C.

    0.22

    D.

    5.11

  3. 3.

    Which of the following fractions will have a terminating decimal?

    A.

    23\frac{2}{3}

    B.

    34\frac{3}{4}

    C.

    47\frac{4}{7}

    D.

    56\frac{5}{6}

Download the worksheet for Real Numbers - Decimal Expansions of Rational Numbers to practice offline. It includes additional chapter-level practice questions.