EduSahara™ Assignment
Name : Rational Numbers and their Decimal Expansions
Chapter : Rational and Irrational Numbers
Grade : ICSE Grade IX
License : Non Commercial Use
Question 1
1.
    • Express
    • 9

      10
    • as a decimal correct to 1 decimal places
  • (i)
    9
  • (ii)
    1
  • (iii)
    0.7
  • (iv)
    0.9
  • (v)
    0.1
Question 2
2.
    • Express
    • 79

      100
    • as a decimal correct to 2 decimal places
  • (i)
    0.59
  • (ii)
    7.9
  • (iii)
    0.79
  • (iv)
    0.89
  • (v)
    0.08
Question 3
3.
    • Express
    • 343

      1000
    • as a decimal correct to 3 decimal places
  • (i)
    0.143
  • (ii)
    0.034
  • (iii)
    0.443
  • (iv)
    0.343
  • (v)
    3.43
Question 4
4.
    • Express
    • 1071

      10000
    • as a decimal correct to 4 decimal places
  • (i)
    0.0107
  • (ii)
    1.071
  • (iii)
    0.2071
  • (iv)
    0.1071
  • (v)
    -0.0929
Question 5
5.
2.3 =
  • (i)
    23

    10
  • (ii)
    23

    1000
  • (iii)
    23
  • (iv)
    230
  • (v)
    23

    100
Question 6
6.
7.1 =
  • (i)
    71

    10
  • (ii)
    71
  • (iii)
    710
  • (iv)
    71

    100
  • (v)
    71

    1000
Question 7
7.
6.24 =
  • (i)
    312

    5
  • (ii)
    78

    125
  • (iii)
    39

    625
  • (iv)
    156

    25
  • (v)
    624
Question 8
8.
1.350 =
  • (i)
    27

    2000
  • (ii)
    135
  • (iii)
    27

    200
  • (iv)
    27

    2
  • (v)
    27

    20
Question 9
9.
5.4 =
  • (i)
    27

    50
  • (ii)
    27

    5
  • (iii)
    27

    500
  • (iv)
    540
  • (v)
    54
Question 10
10.
6.17 =
  • (i)
    617
  • (ii)
    617

    100
  • (iii)
    617

    10
  • (iv)
    617

    10000
  • (v)
    617

    1000
Question 11
11.
10.37 =
  • (i)
    1037

    1000
  • (ii)
    1037

    100
  • (iii)
    1037

    10
  • (iv)
    1037
  • (v)
    1037

    10000
Question 12
12.
9.363 =
  • (i)
    9363

    10
  • (ii)
    9363

    100
  • (iii)
    9363

    10000
  • (iv)
    9363

    1000
  • (v)
    9363

    100000
Question 13
13.
    • The recurring part of the decimal
    • 4.
      703
    • is
  • (i)
    7037703
  • (ii)
    4.703
  • (iii)
    70374
  • (iv)
    703703
  • (v)
    703
Question 14
14.
    • The recurring part of the decimal
    • 12.88888888888888...
    • is
  • (i)
    888
  • (ii)
    8
  • (iii)
    88
  • (iv)
    12.8
  • (v)
    881
Question 15
15.
    • Convert the non-terminating recurring decimal
    • 7.
      7
    • to rational number
  • (i)
    8
  • (ii)
    10
  • (iii)
    68

    9
  • (iv)
    70

    9
  • (v)
    70

    11
Question 16
16.
    • Convert the non-terminating recurring decimal
    • 24.88888888888888...
    • to rational number
  • (i)
    74

    3
  • (ii)
    224

    11
  • (iii)
    226

    9
  • (iv)
    32
  • (v)
    224

    9
Question 17
17.
    • Convert the fraction
    • 547

      21
    • to non-terminating recurring decimal
  • (i)
    260.
    476190
  • (ii)
    26.
    047619
  • (iii)
    0.26
    047619
  • (iv)
    2.6
    047619
  • (v)
    2604.
    761904
Question 18
18.
    • Convert the fraction
    • 205

      18
    • to non-terminating recurring decimal
  • (i)
    11.3
    8
  • (ii)
    1138.
    8
  • (iii)
    0.
    1
  • (iv)
    113.
    8
  • (v)
    1.13
    8
Question 19
19.
Which of the following fractions converts to a non-terminating recurring decimal?
  • (i)
    2145

    125
  • (ii)
    454

    25
  • (iii)
    858

    25
  • (iv)
    241

    18
  • (v)
    5440

    32
Question 20
20.
Which of the following fractions converts to a terminating decimal?
  • (i)
    283

    108
  • (ii)
    283

    18
  • (iii)
    6080

    40
  • (iv)
    269

    18
  • (v)
    283

    270
Question 21
21.
Which of the following is a pure recurring decimal?
  • (i)
    0.43333333333333...
  • (ii)
    2.03703703703703...
  • (iii)
    12.38888888888888...
  • (iv)
    14.72222222222222...
  • (v)
    24.27777777777777...
Question 22
22.
Which of the following is a mixed recurring decimal?
  • (i)
    7.19047619047619...
  • (ii)
    30.77777777777777...
  • (iii)
    0.33333333333333...
  • (iv)
    14.94444444444444...
  • (v)
    17.44444444444444...
Question 23
23.
    • Express
    • 3

      4
    • as a decimal correct to 2 decimal places
  • (i)
    0.55
  • (ii)
    0.85
  • (iii)
    7.5
  • (iv)
    0.07
  • (v)
    0.75
Question 24
24.
    • Express
    • 4

      5
    • as a decimal correct to 2 decimal places
  • (i)
    0.8
  • (ii)
    0.08
  • (iii)
    8
  • (iv)
    0.9
  • (v)
    0.6
Question 25
25.
    • Express
    • 4

      5
    • as a decimal correct to 2 decimal places
  • (i)
    0.8
  • (ii)
    0.6
  • (iii)
    0.9
  • (iv)
    8
  • (v)
    0.08
Question 26
26.
    • Express
    • 47

      85
    • as a decimal correct to 2 decimal places
  • (i)
    0.55
  • (ii)
    0.06
  • (iii)
    0.65
  • (iv)
    5.53
  • (v)
    0.35
Question 27
27.
    • Express
    • 9

      8
    • as a decimal correct to 1 decimal places
  • (i)
    1.1
  • (ii)
    1.2
  • (iii)
    0.9
  • (iv)
    1.3
  • (v)
    1
Question 28
28.
    • Express
    • 1

      10
    • as a decimal correct to 2 decimal places
  • (i)
    0.3
  • (ii)
    0
  • (iii)
    0.1
  • (iv)
    0.2
  • (v)
    -0.1
Question 29
29.
    • Express
    • 1

      3
    • as a decimal correct to 3 decimal places
  • (i)
    0.333
  • (ii)
    0.133
  • (iii)
    0.533
  • (iv)
    0.233
  • (v)
    0.433
Question 30
30.
    • Express
    • 1

      8
    • as a decimal correct to 4 decimal places
  • (i)
    0.125
  • (ii)
    -0.075
  • (iii)
    0.325
  • (iv)
    0.225
  • (v)
    0.025
Question 31
31.
    • Express
    • 34

      21
    • as a decimal correct to 1 decimal places
  • (i)
    1.5
  • (ii)
    1.4
  • (iii)
    1.6
  • (iv)
    1.8
  • (v)
    1.7
Question 32
32.
    • Express
    • 63

      13
    • as a decimal correct to 2 decimal places
  • (i)
    4.65
  • (ii)
    4.85
  • (iii)
    4.95
  • (iv)
    4.75
  • (v)
    5.05
Question 33
33.
    • Express
    • 17

      46
    • as a decimal correct to 3 decimal places
  • (i)
    0.37
  • (ii)
    0.47
  • (iii)
    0.57
  • (iv)
    0.17
  • (v)
    0.27
Question 34
34.
    • Express
    • 13

      98
    • as a decimal correct to 4 decimal places
  • (i)
    0.3327
  • (ii)
    0.1327
  • (iii)
    -0.0673
  • (iv)
    0.2327
  • (v)
    0.0327
Question 35
35.
    • Express
    • 117

      485
    • as a decimal correct to 3 decimal places
  • (i)
    0.341
  • (ii)
    0.041
  • (iii)
    0.441
  • (iv)
    0.241
  • (v)
    0.141
Question 36
36.
    • Express
    • 3883

      5690
    • as a decimal correct to 4 decimal places
  • (i)
    0.8824
  • (ii)
    0.7824
  • (iii)
    0.4824
  • (iv)
    0.6824
  • (v)
    0.5824
    Assignment Key

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