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
    • 7

      10
    • as a decimal correct to 1 decimal places
  • (i)
    0.1
  • (ii)
    0.8
  • (iii)
    0.7
  • (iv)
    0.5
  • (v)
    7
Question 2
2.
    • Express
    • 23

      100
    • as a decimal correct to 2 decimal places
  • (i)
    0.33
  • (ii)
    0.23
  • (iii)
    2.3
  • (iv)
    0.02
  • (v)
    0.03
Question 3
3.
    • Express
    • 313

      1000
    • as a decimal correct to 3 decimal places
  • (i)
    0.313
  • (ii)
    0.413
  • (iii)
    0.031
  • (iv)
    3.13
  • (v)
    0.113
Question 4
4.
    • Express
    • 8037

      10000
    • as a decimal correct to 4 decimal places
  • (i)
    0.0804
  • (ii)
    8.037
  • (iii)
    0.8037
  • (iv)
    0.6037
  • (v)
    0.9037
Question 5
5.
5.9 =
  • (i)
    590
  • (ii)
    59

    10
  • (iii)
    59
  • (iv)
    59

    100
  • (v)
    59

    1000
Question 6
6.
5.5 =
  • (i)
    55
  • (ii)
    11

    20
  • (iii)
    11

    200
  • (iv)
    550
  • (v)
    11

    2
Question 7
7.
15.31 =
  • (i)
    1531
  • (ii)
    1531

    1000
  • (iii)
    1531

    10
  • (iv)
    1531

    100
  • (v)
    1531

    10000
Question 8
8.
1.674 =
  • (i)
    837

    5
  • (ii)
    837

    500
  • (iii)
    837

    5000
  • (iv)
    837

    50
  • (v)
    837

    50000
Question 9
9.
9.7 =
  • (i)
    97

    100
  • (ii)
    970
  • (iii)
    97
  • (iv)
    97

    1000
  • (v)
    97

    10
Question 10
10.
5.20 =
  • (i)
    52
  • (ii)
    13

    250
  • (iii)
    13

    25
  • (iv)
    26

    5
  • (v)
    520
Question 11
11.
18.73 =
  • (i)
    1873
  • (ii)
    1873

    10000
  • (iii)
    1873

    10
  • (iv)
    1873

    1000
  • (v)
    1873

    100
Question 12
12.
9.921 =
  • (i)
    9921

    10000
  • (ii)
    9921

    1000
  • (iii)
    9921

    100
  • (iv)
    9921

    10
  • (v)
    9921

    100000
Question 13
13.
    • The recurring part of the decimal
    • 21.
      2
    • is
  • (i)
    2
  • (ii)
    22
  • (iii)
    222
  • (iv)
    21.2
Question 14
14.
    • The recurring part of the decimal
    • 12.44444444444444...
    • is
  • (i)
    12.4
  • (ii)
    441
  • (iii)
    4
  • (iv)
    44
  • (v)
    444
Question 15
15.
    • Convert the non-terminating recurring decimal
    • 11.
      407
    • to rational number
  • (i)
    308

    25
  • (ii)
    310

    27
  • (iii)
    308

    29
  • (iv)
    308

    27
  • (v)
    34

    3
Question 16
16.
    • Convert the non-terminating recurring decimal
    • 18.04761904761904...
    • to rational number
  • (i)
    379

    23
  • (ii)
    379

    19
  • (iii)
    379

    21
  • (iv)
    377

    21
  • (v)
    127

    7
Question 17
17.
    • Convert the fraction
    • 674

      27
    • to non-terminating recurring decimal
  • (i)
    0.24
    962
  • (ii)
    2496.
    296
  • (iii)
    24.
    962
  • (iv)
    2.4
    962
  • (v)
    249.
    629
Question 18
18.
    • Convert the fraction
    • 283

      18
    • to non-terminating recurring decimal
  • (i)
    1572.
    2
  • (ii)
    15.7
    2
  • (iii)
    1.57
    2
  • (iv)
    157.
    2
  • (v)
    0.157
    2
Question 19
19.
Which of the following fractions converts to a non-terminating recurring decimal?
  • (i)
    1007

    32
  • (ii)
    209

    18
  • (iii)
    975

    16
  • (iv)
    3900

    128
  • (v)
    2080

    80
Question 20
20.
Which of the following fractions converts to a terminating decimal?
  • (i)
    107

    126
  • (ii)
    2850

    128
  • (iii)
    1

    3
  • (iv)
    107

    9
  • (v)
    107

    63
Question 21
21.
Which of the following is a pure recurring decimal?
  • (i)
    11.72222222222222...
  • (ii)
    5.38888888888888...
  • (iii)
    12.27777777777777...
  • (iv)
    16.44444444444444...
  • (v)
    27.38888888888888...
Question 22
22.
Which of the following is a mixed recurring decimal?
  • (i)
    4.11111111111111...
  • (ii)
    14.85185185185185...
  • (iii)
    16.38888888888888...
  • (iv)
    19.55555555555555...
  • (v)
    21.95238095238095...
Question 23
23.
    • Express
    • 1

      4
    • as a decimal correct to 2 decimal places
  • (i)
    0.03
  • (ii)
    0.35
  • (iii)
    2.5
  • (iv)
    0.25
  • (v)
    0.05
Question 24
24.
    • Express
    • 15

      19
    • as a decimal correct to 2 decimal places
  • (i)
    0.79
  • (ii)
    0.08
  • (iii)
    0.59
  • (iv)
    0.89
  • (v)
    7.89
Question 25
25.
    • Express
    • 29

      44
    • as a decimal correct to 2 decimal places
  • (i)
    0.46
  • (ii)
    0.66
  • (iii)
    0.76
  • (iv)
    0.07
  • (v)
    6.59
Question 26
26.
    • Express
    • 25

      51
    • as a decimal correct to 2 decimal places
  • (i)
    0.59
  • (ii)
    0.49
  • (iii)
    0.05
  • (iv)
    4.9
  • (v)
    0.29
Question 27
27.
    • Express
    • 7

      6
    • as a decimal correct to 1 decimal places
  • (i)
    1.4
  • (ii)
    1
  • (iii)
    1.3
  • (iv)
    1.2
  • (v)
    1.1
Question 28
28.
    • Express
    • 9

      7
    • as a decimal correct to 2 decimal places
  • (i)
    1.19
  • (ii)
    1.29
  • (iii)
    1.09
  • (iv)
    1.39
  • (v)
    1.49
Question 29
29.
    • Express
    • 9

      7
    • as a decimal correct to 3 decimal places
  • (i)
    1.486
  • (ii)
    1.286
  • (iii)
    1.386
  • (iv)
    1.186
  • (v)
    1.086
Question 30
30.
    • Express
    • 8

      5
    • as a decimal correct to 4 decimal places
  • (i)
    1.7
  • (ii)
    1.4
  • (iii)
    1.5
  • (iv)
    1.8
  • (v)
    1.6
Question 31
31.
    • Express
    • 80

      59
    • as a decimal correct to 1 decimal places
  • (i)
    1.3
  • (ii)
    1.5
  • (iii)
    1.6
  • (iv)
    1.2
  • (v)
    1.4
Question 32
32.
    • Express
    • 91

      23
    • as a decimal correct to 2 decimal places
  • (i)
    3.96
  • (ii)
    4.06
  • (iii)
    4.16
  • (iv)
    3.86
  • (v)
    3.76
Question 33
33.
    • Express
    • 40

      99
    • as a decimal correct to 3 decimal places
  • (i)
    0.504
  • (ii)
    0.304
  • (iii)
    0.204
  • (iv)
    0.404
  • (v)
    0.604
Question 34
34.
    • Express
    • 86

      95
    • as a decimal correct to 4 decimal places
  • (i)
    0.8053
  • (ii)
    0.7053
  • (iii)
    0.9053
  • (iv)
    1.1053
  • (v)
    1.0053
Question 35
35.
    • Express
    • 762

      61
    • as a decimal correct to 3 decimal places
  • (i)
    12.592
  • (ii)
    12.392
  • (iii)
    12.692
  • (iv)
    12.292
  • (v)
    12.492
Question 36
36.
    • Express
    • 1145

      9012
    • as a decimal correct to 4 decimal places
  • (i)
    0.0271
  • (ii)
    0.3271
  • (iii)
    0.1271
  • (iv)
    0.2271
  • (v)
    -0.0729
    Assignment Key

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