9th Standard English Medium Maths Subject Real Numbers Book Back 2 Mark Questions with Solution Part - II

9th Standard

    Reg.No. :
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Maths

Time : 01:00:00 Hrs
Total Marks : 20

    2 Marks

    10 x 2 = 20
  1. Write the following numbers in decimal form:
    6.34 \(\times\)104

  2. Find any five rational numbers between
    (i) \(\frac { 1 }{ 4 } \) and \(1\over 5\)
    (ii) 0.1 and 0.11
    (iii) -1 and -2

  3. Express the rational number \(\frac { 1 }{ 27 } \)  in recurring decimal form by using the recurring decimal expansion of \(1\over3\). Hence write\(\frac { 59 }{ 27 } \) in recurring decimal form.

  4. Convert the following decimal numbers in the form of \(\frac { p }{ q } \), where p and q are integers and q ≠ 0 :
    (i) 0.35
    (ii) 2.176
    (iii) -0.0028

  5. Convert the following decimal numbers in the form of \(\frac { p }{ q } (p,q\in Z\ and\ q\neq 0)\)
    (i) \(0.\overline { 3 } \)
    (ii) \(2.\overline { 124 } \)
    (iii) \(0.4\overline { 5 } \)
    (iv) \(0.5\overline { 68 } \)

  6. Find whether x and y are rational or irrational in the following
    (i) a = 2 + \(\sqrt { 3 } \) , b = 2 - \(\sqrt { 3 } \) ; x = a + b, y = a+ b
    (ii) a = \(\sqrt { 2 } \)  + 7, b = \(\sqrt { 2 } \) - 7 ; x = a + b, y = a - b
    (iii) a = \(\sqrt { 75 } \), b = \(\sqrt { 3 } \), x = ab, y = \(\frac { a }{ b } \)
    (iv) a = \(\sqrt { 18 } \), b = \(\sqrt { 3 } \), x = ab, y = \(\frac { a }{ b } \)

  7. Convert the following rational numbers into decimal
    (i) \(3\over 4\)
    (ii) \(5\over 8\)
    (iii) \(9\over 25\)

  8. Can we write 0.25 as 0.250000 ...? Can a terminating decimal be written as a recurring decimal?

  9. Give any two rational numbers lying between 0.5151151115…. and 0.5353353335…

  10. Find any two rational numbers between \(\frac { 1 }{ 2 } \) and \(\frac { 2 }{ 3 } \)

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