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
    • 1

      10
    • as a decimal correct to 1 decimal places
  • (i)
    0.2
  • (ii)
    -0.1
  • (iii)
    0
  • (iv)
    0.1
  • (v)
    1
Question 2
2.
    • Express
    • 51

      100
    • as a decimal correct to 2 decimal places
  • (i)
    5.1
  • (ii)
    0.61
  • (iii)
    0.31
  • (iv)
    0.51
  • (v)
    0.05
Question 3
3.
    • Express
    • 473

      1000
    • as a decimal correct to 3 decimal places
  • (i)
    0.573
  • (ii)
    0.273
  • (iii)
    0.047
  • (iv)
    0.473
  • (v)
    4.73
Question 4
4.
    • Express
    • 4303

      10000
    • as a decimal correct to 4 decimal places
  • (i)
    4.303
  • (ii)
    0.043
  • (iii)
    0.4303
  • (iv)
    0.2303
  • (v)
    0.5303
Question 5
5.
9.8 =
  • (i)
    49

    500
  • (ii)
    980
  • (iii)
    98
  • (iv)
    49

    5
  • (v)
    49

    50
Question 6
6.
4.1 =
  • (i)
    41

    10
  • (ii)
    41

    1000
  • (iii)
    410
  • (iv)
    41

    100
  • (v)
    41
Question 7
7.
15.81 =
  • (i)
    1581

    10
  • (ii)
    1581

    1000
  • (iii)
    1581

    100
  • (iv)
    1581
  • (v)
    1581

    10000
Question 8
8.
10.108 =
  • (i)
    2527

    2500
  • (ii)
    2527

    250
  • (iii)
    5054

    5
  • (iv)
    2527

    25
  • (v)
    2527

    25000
Question 9
9.
6.5 =
  • (i)
    13

    2
  • (ii)
    13

    200
  • (iii)
    13

    20
  • (iv)
    65
  • (v)
    650
Question 10
10.
8.19 =
  • (i)
    819

    1000
  • (ii)
    819

    10000
  • (iii)
    819
  • (iv)
    819

    10
  • (v)
    819

    100
Question 11
11.
16.88 =
  • (i)
    211

    125
  • (ii)
    1688
  • (iii)
    844

    5
  • (iv)
    211

    1250
  • (v)
    422

    25
Question 12
12.
2.514 =
  • (i)
    1257

    5
  • (ii)
    1257

    500
  • (iii)
    1257

    50000
  • (iv)
    1257

    50
  • (v)
    1257

    5000
Question 13
13.
    • The recurring part of the decimal
    • 18.6
      1
    • is
  • (i)
    111
  • (ii)
    1
  • (iii)
    11
  • (iv)
    161
  • (v)
    18.61
Question 14
14.
    • The recurring part of the decimal
    • 6.37037037037037...
    • is
  • (i)
    6.370
  • (ii)
    37036
  • (iii)
    3703370
  • (iv)
    370370
  • (v)
    370
Question 15
15.
    • Convert the non-terminating recurring decimal
    • 0.
      3
    • to rational number
  • (i)
    (
    -1

    3
    )
  • (ii)
    1

    5
  • (iii)
    1

    3
  • (iv)
    1
Question 16
16.
    • Convert the non-terminating recurring decimal
    • 20.61904761904762...
    • to rational number
  • (i)
    431

    21
  • (ii)
    145

    7
  • (iii)
    433

    19
  • (iv)
    433

    23
  • (v)
    433

    21
Question 17
17.
    • Convert the fraction
    • 545

      18
    • to non-terminating recurring decimal
  • (i)
    0.302
    7
  • (ii)
    3.02
    7
  • (iii)
    3027.
    7
  • (iv)
    30.2
    7
  • (v)
    302.
    7
Question 18
18.
    • Convert the fraction
    • 293

      18
    • to non-terminating recurring decimal
  • (i)
    0.162
    7
  • (ii)
    1627.
    7
  • (iii)
    1.62
    7
  • (iv)
    16.2
    7
  • (v)
    162.
    7
Question 19
19.
Which of the following fractions converts to a non-terminating recurring decimal?
  • (i)
    305

    18
  • (ii)
    1848

    80
  • (iii)
    231

    5
  • (iv)
    2717

    40
  • (v)
    241

    10
Question 20
20.
Which of the following fractions converts to a terminating decimal?
  • (i)
    1

    3
  • (ii)
    1

    15
  • (iii)
    1

    36
  • (iv)
    289

    18
  • (v)
    4320

    40
Question 21
21.
Which of the following is a pure recurring decimal?
  • (i)
    28.05555555555555...
  • (ii)
    3.72222222222222...
  • (iii)
    28.94444444444444...
  • (iv)
    7.11111111111111...
  • (v)
    12.27777777777777...
Question 22
22.
Which of the following is a mixed recurring decimal?
  • (i)
    24.80952380952381...
  • (ii)
    11.76190476190476...
  • (iii)
    27.96296296296296...
  • (iv)
    8.38888888888888...
  • (v)
    21.62962962962962...
Question 23
23.
    • Express
    • 7

      6
    • as a decimal correct to 2 decimal places
  • (i)
    1.17
  • (ii)
    11.67
  • (iii)
    0.12
  • (iv)
    1.27
  • (v)
    0.97
Question 24
24.
    • Express
    • 17

      2
    • as a decimal correct to 2 decimal places
  • (i)
    85
  • (ii)
    8.5
  • (iii)
    0.85
  • (iv)
    8.6
  • (v)
    8.3
Question 25
25.
    • Express
    • 17

      2
    • as a decimal correct to 2 decimal places
  • (i)
    8.3
  • (ii)
    85
  • (iii)
    8.6
  • (iv)
    8.5
  • (v)
    0.85
Question 26
26.
    • Express
    • 5

      56
    • as a decimal correct to 2 decimal places
  • (i)
    0.09
  • (ii)
    0.19
  • (iii)
    0.01
  • (iv)
    0.89
  • (v)
    -0.11
Question 27
27.
    • Express
    • 9

      4
    • as a decimal correct to 1 decimal places
  • (i)
    2
  • (ii)
    2.5
  • (iii)
    2.2
  • (iv)
    2.4
  • (v)
    2.1
Question 28
28.
    • Express
    • 1

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

      5
    • as a decimal correct to 3 decimal places
  • (i)
    0.4
  • (ii)
    0.1
  • (iii)
    0.2
  • (iv)
    0.3
  • (v)
    0
Question 30
30.
    • Express
    • 4

      5
    • as a decimal correct to 4 decimal places
  • (i)
    0.6
  • (ii)
    0.8
  • (iii)
    0.9
  • (iv)
    1
  • (v)
    0.7
Question 31
31.
    • Express
    • 83

      18
    • as a decimal correct to 1 decimal places
  • (i)
    4.4
  • (ii)
    4.7
  • (iii)
    4.6
  • (iv)
    4.8
  • (v)
    4.5
Question 32
32.
    • Express
    • 38

      59
    • as a decimal correct to 2 decimal places
  • (i)
    0.44
  • (ii)
    0.84
  • (iii)
    0.74
  • (iv)
    0.64
  • (v)
    0.54
Question 33
33.
    • Express
    • 57

      13
    • as a decimal correct to 3 decimal places
  • (i)
    4.485
  • (ii)
    4.585
  • (iii)
    4.185
  • (iv)
    4.285
  • (v)
    4.385
Question 34
34.
    • Express
    • 97

      24
    • as a decimal correct to 4 decimal places
  • (i)
    4.1417
  • (ii)
    3.8417
  • (iii)
    3.9417
  • (iv)
    4.0417
  • (v)
    4.2417
Question 35
35.
    • Express
    • 349

      754
    • as a decimal correct to 3 decimal places
  • (i)
    0.263
  • (ii)
    0.663
  • (iii)
    0.563
  • (iv)
    0.363
  • (v)
    0.463
Question 36
36.
    • Express
    • 5551

      6627
    • as a decimal correct to 4 decimal places
  • (i)
    0.6376
  • (ii)
    0.7376
  • (iii)
    1.0376
  • (iv)
    0.9376
  • (v)
    0.8376
    Assignment Key

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