EduSahara™ Assignment
Name : Rational Numbers and their Decimal Expansions
Chapter : Real Numbers
Grade : SSC Grade IX
License : Non Commercial Use
Question
1
1.
Express
7
2
as a decimal correct to 2 decimal places
(i)
0.35
(ii)
3.5
(iii)
3.6
(iv)
3.3
(v)
35
Question
2
2.
Express
17
15
as a decimal correct to 2 decimal places
(i)
1.13
(ii)
11.33
(iii)
0.11
(iv)
1.23
(v)
0.93
Question
3
3.
Express
45
43
as a decimal correct to 2 decimal places
(i)
10.47
(ii)
0.85
(iii)
0.1
(iv)
1.05
(v)
1.15
Question
4
4.
Express
29
17
as a decimal correct to 2 decimal places
(i)
0.17
(ii)
17.06
(iii)
1.51
(iv)
1.71
(v)
1.81
Question
5
5.
Express
7
10
as a decimal correct to 1 decimal places
(i)
0.1
(ii)
0.7
(iii)
0.5
(iv)
7
(v)
0.8
Question
6
6.
Express
67
100
as a decimal correct to 2 decimal places
(i)
6.7
(ii)
0.67
(iii)
0.07
(iv)
0.47
(v)
0.77
Question
7
7.
Express
327
1000
as a decimal correct to 3 decimal places
(i)
0.033
(ii)
0.127
(iii)
0.327
(iv)
0.427
(v)
3.27
Question
8
8.
Express
9389
10000
as a decimal correct to 4 decimal places
(i)
0.0939
(ii)
0.9389
(iii)
1.0389
(iv)
9.389
(v)
0.7389
Question
9
9.
10.7 =
(i)
107
100
(ii)
107
(iii)
107
1000
(iv)
107
10
(v)
1070
Question
10
10.
4.0 =
(i)
2
5
(ii)
40
(iii)
400
(iv)
4
1
(v)
1
25
Question
11
11.
9.59 =
(i)
959
100
(ii)
959
10
(iii)
959
10000
(iv)
959
1000
(v)
959
Question
12
12.
2.405 =
(i)
481
2000
(ii)
481
2
(iii)
481
200
(iv)
481
20
(v)
481
20000
Question
13
13.
2.8 =
(i)
28
(ii)
280
(iii)
7
25
(iv)
14
5
(v)
7
250
Question
14
14.
4.11 =
(i)
411
1000
(ii)
411
10000
(iii)
411
100
(iv)
411
10
(v)
411
Question
15
15.
14.63 =
(i)
1463
(ii)
1463
100
(iii)
1463
10000
(iv)
1463
1000
(v)
1463
10
Question
16
16.
9.979 =
(i)
9979
100
(ii)
9979
10000
(iii)
9979
10
(iv)
9979
1000
(v)
9979
100000
Question
17
17.
Express
2
7
as a decimal correct to 1 decimal places
(i)
0.2
(ii)
0.1
(iii)
0.3
(iv)
0.4
(v)
0.5
Question
18
18.
Express
1
2
as a decimal correct to 2 decimal places
(i)
0.4
(ii)
0.7
(iii)
0.6
(iv)
0.3
(v)
0.5
Question
19
19.
Express
1
8
as a decimal correct to 3 decimal places
(i)
0.125
(ii)
0.225
(iii)
0.025
(iv)
0.325
(v)
-0.075
Question
20
20.
Express
10
9
as a decimal correct to 4 decimal places
(i)
1.1111
(ii)
1.2111
(iii)
0.9111
(iv)
1.0111
(v)
1.3111
Question
21
21.
Express
37
64
as a decimal correct to 1 decimal places
(i)
0.7
(ii)
0.8
(iii)
0.5
(iv)
0.4
(v)
0.6
Question
22
22.
Express
79
100
as a decimal correct to 2 decimal places
(i)
0.89
(ii)
0.59
(iii)
0.79
(iv)
0.99
(v)
0.69
Question
23
23.
Express
29
78
as a decimal correct to 3 decimal places
(i)
0.172
(ii)
0.472
(iii)
0.272
(iv)
0.572
(v)
0.372
Question
24
24.
Express
19
44
as a decimal correct to 4 decimal places
(i)
0.2318
(ii)
0.4318
(iii)
0.6318
(iv)
0.3318
(v)
0.5318
Question
25
25.
Express
458
241
as a decimal correct to 3 decimal places
(i)
2.1
(ii)
1.9
(iii)
2
(iv)
1.7
(v)
1.8
Question
26
26.
Express
3182
8447
as a decimal correct to 4 decimal places
(i)
0.2767
(ii)
0.4767
(iii)
0.1767
(iv)
0.5767
(v)
0.3767
Question
27
27.
Find the period of the recurring decimal
9.3
8
(i)
2
(ii)
0
(iii)
80
(iv)
8
(v)
1
Question
28
28.
Find the period of the recurring decimal
10.04761904761904...
(i)
4761
(ii)
7
(iii)
6
(iv)
047619
(v)
476190
Question
29
29.
Find the periodicity of the recurring decimal
7.9
4
(i)
-1
(ii)
4
(iii)
1
(iv)
0
(v)
2
Question
30
30.
Find the periodicity of the recurring decimal
1.05555555555555...
(i)
1
(ii)
2
(iii)
0
(iv)
-1
(v)
5
Question
31
31.
The recurring part of the decimal
4.
8
is
(i)
4.8
(ii)
8
(iii)
88
(iv)
888
(v)
884
Question
32
32.
The recurring part of the decimal
30.81481481481481...
is
(i)
814814
(ii)
30.814
(iii)
8148814
(iv)
81483
(v)
814
Question
33
33.
Convert the non-terminating recurring decimal
9.
2
to rational number
(i)
9
(ii)
83
7
(iii)
85
9
(iv)
83
9
(v)
83
11
Question
34
34.
Convert the non-terminating recurring decimal
3.90476190476190...
to rational number
(i)
80
21
(ii)
82
23
(iii)
82
21
(iv)
82
19
(v)
4
Question
35
35.
Convert the fraction
206
9
to non-terminating recurring decimal
(i)
0.
2
(ii)
2288.
8
(iii)
228.
8
(iv)
22.
8
(v)
2.2
8
Question
36
36.
Convert the fraction
97
9
to non-terminating recurring decimal
(i)
1077.
7
(ii)
107.
7
(iii)
10.
7
(iv)
1.0
7
(v)
0.10
7
Question
37
37.
Which of the following fractions converts to a non-terminating recurring decimal?
(i)
2926
320
(ii)
1623
160
(iii)
1716
32
(iv)
311
18
(v)
1463
80
Question
38
38.
Which of the following fractions converts to a terminating decimal?
(i)
145
9
(ii)
1
15
(iii)
1
3
(iv)
1
42
(v)
2184
50
Assignment Key
1) (ii)
2) (i)
3) (iv)
4) (iv)
5) (ii)
6) (ii)
7) (iii)
8) (ii)
9) (iv)
10) (iv)
11) (i)
12) (iii)
13) (iv)
14) (iii)
15) (ii)
16) (iv)
17) (iii)
18) (v)
19) (i)
20) (i)
21) (v)
22) (iii)
23) (v)
24) (ii)
25) (ii)
26) (v)
27) (iv)
28) (iv)
29) (iii)
30) (i)
31) (ii)
32) (v)
33) (iv)
34) (iii)
35) (iv)
36) (iii)
37) (iv)
38) (v)