EduSahara™ Assignment
Name : Rational Numbers and their Decimal Expansions
Chapter : Real Numbers
Grade : SSC Grade X
License : Non Commercial Use
Question 1
1.
    • Express
    • 7

      10
    • as a decimal correct to 1 decimal places
  • (i)
    7
  • (ii)
    0.5
  • (iii)
    0.7
  • (iv)
    0.1
  • (v)
    0.8
Question 2
2.
    • Express
    • 63

      100
    • as a decimal correct to 2 decimal places
  • (i)
    0.43
  • (ii)
    0.73
  • (iii)
    6.3
  • (iv)
    0.06
  • (v)
    0.63
Question 3
3.
    • Express
    • 563

      1000
    • as a decimal correct to 3 decimal places
  • (i)
    0.363
  • (ii)
    0.663
  • (iii)
    0.563
  • (iv)
    0.056
  • (v)
    5.63
Question 4
4.
    • Express
    • 5711

      10000
    • as a decimal correct to 4 decimal places
  • (i)
    0.5711
  • (ii)
    0.3711
  • (iii)
    5.711
  • (iv)
    0.0571
  • (v)
    0.6711
Question 5
5.
2.8 =
  • (i)
    14

    5
  • (ii)
    280
  • (iii)
    28
  • (iv)
    7

    250
  • (v)
    7

    25
Question 6
6.
9.6 =
  • (i)
    96
  • (ii)
    48

    5
  • (iii)
    24

    25
  • (iv)
    12

    125
  • (v)
    960
Question 7
7.
17.57 =
  • (i)
    1757
  • (ii)
    1757

    10000
  • (iii)
    1757

    100
  • (iv)
    1757

    1000
  • (v)
    1757

    10
Question 8
8.
5.495 =
  • (i)
    1099

    20000
  • (ii)
    1099

    20
  • (iii)
    1099

    2
  • (iv)
    1099

    200
  • (v)
    1099

    2000
Question 9
9.
1.1 =
  • (i)
    11
  • (ii)
    11

    10
  • (iii)
    110
  • (iv)
    11

    1000
  • (v)
    11

    100
Question 10
10.
4.11 =
  • (i)
    411

    10000
  • (ii)
    411

    100
  • (iii)
    411

    10
  • (iv)
    411

    1000
  • (v)
    411
Question 11
11.
10.59 =
  • (i)
    1059

    10
  • (ii)
    1059

    1000
  • (iii)
    1059

    10000
  • (iv)
    1059
  • (v)
    1059

    100
Question 12
12.
2.563 =
  • (i)
    2563

    1000
  • (ii)
    2563

    10
  • (iii)
    2563

    10000
  • (iv)
    2563

    100000
  • (v)
    2563

    100
Question 13
13.
    • Express
    • 3

      10
    • as a decimal correct to 1 decimal places
  • (i)
    0.3
  • (ii)
    0.2
  • (iii)
    0.4
  • (iv)
    0.1
  • (v)
    0.5
Question 14
14.
    • Express
    • 6

      7
    • as a decimal correct to 2 decimal places
  • (i)
    0.86
  • (ii)
    0.76
  • (iii)
    0.66
  • (iv)
    1.06
  • (v)
    0.96
Question 15
15.
    • Express
    • 3

      10
    • as a decimal correct to 3 decimal places
  • (i)
    0.3
  • (ii)
    0.5
  • (iii)
    0.1
  • (iv)
    0.4
  • (v)
    0.2
Question 16
16.
    • Express
    • 8

      3
    • as a decimal correct to 4 decimal places
  • (i)
    2.8667
  • (ii)
    2.4667
  • (iii)
    2.7667
  • (iv)
    2.5667
  • (v)
    2.6667
Question 17
17.
    • Express
    • 39

      61
    • as a decimal correct to 1 decimal places
  • (i)
    0.5
  • (ii)
    0.4
  • (iii)
    0.7
  • (iv)
    0.8
  • (v)
    0.6
Question 18
18.
    • Find the period of the recurring decimal
    • 27.
      952380
  • (i)
    7
  • (ii)
    9523800
  • (iii)
    952380
  • (iv)
    6
  • (v)
    95238
Question 19
19.
    • Find the period of the recurring decimal
    • 21.90476190476190...
  • (i)
    90476
  • (ii)
    6
  • (iii)
    7
  • (iv)
    904761
  • (v)
    9047610
Question 20
20.
    • Find the periodicity of the recurring decimal
    • 28.
      1
  • (i)
    -1
  • (ii)
    0
  • (iii)
    1
  • (iv)
    2
Question 21
21.
    • Find the periodicity of the recurring decimal
    • 0.33333333333333...
  • (i)
    1
  • (ii)
    0
  • (iii)
    -1
  • (iv)
    2
  • (v)
    3
Question 22
22.
    • The recurring part of the decimal
    • 30.
      592
    • is
  • (i)
    5925592
  • (ii)
    59253
  • (iii)
    592592
  • (iv)
    30.592
  • (v)
    592
Question 23
23.
    • The recurring part of the decimal
    • 21.44444444444444...
    • is
  • (i)
    444
  • (ii)
    21.4
  • (iii)
    442
  • (iv)
    44
  • (v)
    4
Question 24
24.
    • Convert the non-terminating recurring decimal
    • 19.
      5
    • to rational number
  • (i)
    178

    9
  • (ii)
    176

    9
  • (iii)
    16
  • (iv)
    176

    7
  • (v)
    58

    3
Question 25
25.
    • Convert the non-terminating recurring decimal
    • 0.33333333333333...
    • to rational number
  • (i)
    1
  • (ii)
    (
    -1

    3
    )
  • (iii)
    1

    3
  • (iv)
    1

    5
Question 26
26.
    • Convert the fraction
    • 179

      9
    • to non-terminating recurring decimal
  • (i)
    1988.
    8
  • (ii)
    19.
    8
  • (iii)
    1.9
    8
  • (iv)
    198.
    8
  • (v)
    0.19
    8
Question 27
27.
    • Convert the fraction
    • 187

      21
    • to non-terminating recurring decimal
  • (i)
    0.8
    904761
  • (ii)
    0.08
    904761
  • (iii)
    890.
    476190
  • (iv)
    8.
    904761
  • (v)
    89.
    047619
Question 28
28.
Which of the following fractions converts to a non-terminating recurring decimal?
  • (i)
    197

    8
  • (ii)
    189

    4
  • (iii)
    2520

    32
  • (iv)
    3024

    128
  • (v)
    269

    18
Question 29
29.
Which of the following fractions converts to a terminating decimal?
  • (i)
    371

    288
  • (ii)
    371

    171
  • (iii)
    3840

    20
  • (iv)
    1

    3
  • (v)
    371

    18
Question 30
30.
    • Which of the following is an irrational number?
  • (i)
    (-9)
  • (ii)
    18

    22
  • (iii)
    19.6111
  • (iv)
    2
  • (v)
    3


    66
Question 31
31.
    • Which of the following is a rational number?
  • (i)



    94
  • (ii)
    13

    20
  • (iii)



    97
  • (iv)
    3


    39
  • (v)



    75
Question 32
32.
Which of the following is a decimal fraction?
  • (i)
    8

    10
  • (ii)
    16

    7
  • (iii)
    2

    7
  • (iv)
    19
    8

    19
  • (v)
    14
    6

    7
Question 33
33.
Which of the following is a decimal fraction?
  • (i)
    7

    100
  • (ii)
    19

    15
  • (iii)
    7
    7

    11
  • (iv)
    21
    1

    2
  • (v)
    9

    17
Question 34
34.
Which of the following is a decimal fraction?
  • (i)
    11

    8
  • (ii)
    2

    1000
  • (iii)
    4
    5

    6
  • (iv)
    4

    11
  • (v)
    6
    6

    7
Question 35
35.
Which of the following is a decimal fraction?
  • (i)
    4

    14
  • (ii)
    4

    10000
  • (iii)
    18
    4

    19
  • (iv)
    12

    5
  • (v)
    12
    13

    18
    Assignment Key

  •  1) (iii)
  •  2) (v)
  •  3) (iii)
  •  4) (i)
  •  5) (i)
  •  6) (ii)
  •  7) (iii)
  •  8) (iv)
  •  9) (ii)
  •  10) (ii)
  •  11) (v)
  •  12) (i)
  •  13) (i)
  •  14) (i)
  •  15) (i)
  •  16) (v)
  •  17) (v)
  •  18) (iii)
  •  19) (iv)
  •  20) (iii)
  •  21) (i)
  •  22) (v)
  •  23) (v)
  •  24) (ii)
  •  25) (iii)
  •  26) (ii)
  •  27) (iv)
  •  28) (v)
  •  29) (iii)
  •  30) (v)
  •  31) (ii)
  •  32) (i)
  •  33) (i)
  •  34) (ii)
  •  35) (ii)