EduSahara™ Assignment
Name : Rational Numbers and their Decimal Expansions
Chapter : Real Numbers
Grade : SSC Grade IX
License : Non Commercial Use
Question
1
1.
Express
5
2
as a decimal correct to 2 decimal places
(i)
2.5
(ii)
0.25
(iii)
2.6
(iv)
2.3
(v)
25
Question
2
2.
Express
2
7
as a decimal correct to 2 decimal places
(i)
2.86
(ii)
0.09
(iii)
0.39
(iv)
0.03
(v)
0.29
Question
3
3.
Express
49
43
as a decimal correct to 2 decimal places
(i)
11.4
(ii)
1.14
(iii)
1.24
(iv)
0.11
(v)
0.94
Question
4
4.
Express
53
38
as a decimal correct to 2 decimal places
(i)
0.14
(ii)
1.19
(iii)
13.95
(iv)
1.39
(v)
1.49
Question
5
5.
Express
7
10
as a decimal correct to 1 decimal places
(i)
0.1
(ii)
0.7
(iii)
7
(iv)
0.8
(v)
0.5
Question
6
6.
Express
81
100
as a decimal correct to 2 decimal places
(i)
0.91
(ii)
0.61
(iii)
8.1
(iv)
0.81
(v)
0.08
Question
7
7.
Express
111
1000
as a decimal correct to 3 decimal places
(i)
1.11
(ii)
0.011
(iii)
0.211
(iv)
0.111
(v)
-0.089
Question
8
8.
Express
6151
10000
as a decimal correct to 4 decimal places
(i)
0.6151
(ii)
0.0615
(iii)
6.151
(iv)
0.7151
(v)
0.4151
Question
9
9.
7.5 =
(i)
750
(ii)
3
40
(iii)
75
(iv)
3
4
(v)
15
2
Question
10
10.
2.7 =
(i)
27
(ii)
27
10
(iii)
27
100
(iv)
27
1000
(v)
270
Question
11
11.
16.44 =
(i)
411
25
(ii)
822
5
(iii)
1644
(iv)
411
250
(v)
411
2500
Question
12
12.
1.892 =
(i)
473
250
(ii)
473
25000
(iii)
473
25
(iv)
946
5
(v)
473
2500
Question
13
13.
9.7 =
(i)
97
(ii)
97
1000
(iii)
97
10
(iv)
97
100
(v)
970
Question
14
14.
1.12 =
(i)
112
(ii)
56
5
(iii)
7
625
(iv)
14
125
(v)
28
25
Question
15
15.
4.29 =
(i)
429
10
(ii)
429
100
(iii)
429
1000
(iv)
429
10000
(v)
429
Question
16
16.
9.252 =
(i)
4626
5
(ii)
2313
25
(iii)
2313
250
(iv)
2313
25000
(v)
2313
2500
Question
17
17.
Express
7
8
as a decimal correct to 1 decimal places
(i)
1
(ii)
0.7
(iii)
0.9
(iv)
0.8
(v)
1.1
Question
18
18.
Express
1
5
as a decimal correct to 2 decimal places
(i)
0.4
(ii)
0.2
(iii)
0
(iv)
0.3
(v)
0.1
Question
19
19.
Express
3
8
as a decimal correct to 3 decimal places
(i)
0.575
(ii)
0.175
(iii)
0.475
(iv)
0.375
(v)
0.275
Question
20
20.
Express
8
9
as a decimal correct to 4 decimal places
(i)
1.0889
(ii)
0.6889
(iii)
0.7889
(iv)
0.8889
(v)
0.9889
Question
21
21.
Express
17
65
as a decimal correct to 1 decimal places
(i)
0.4
(ii)
0.5
(iii)
0.3
(iv)
0.2
(v)
0.1
Question
22
22.
Express
47
72
as a decimal correct to 2 decimal places
(i)
0.65
(ii)
0.75
(iii)
0.85
(iv)
0.55
(v)
0.45
Question
23
23.
Express
69
43
as a decimal correct to 3 decimal places
(i)
1.605
(ii)
1.805
(iii)
1.705
(iv)
1.405
(v)
1.505
Question
24
24.
Express
52
75
as a decimal correct to 4 decimal places
(i)
0.4933
(ii)
0.7933
(iii)
0.8933
(iv)
0.6933
(v)
0.5933
Question
25
25.
Express
557
395
as a decimal correct to 3 decimal places
(i)
1.51
(ii)
1.31
(iii)
1.61
(iv)
1.21
(v)
1.41
Question
26
26.
Express
4985
5814
as a decimal correct to 4 decimal places
(i)
1.0574
(ii)
0.8574
(iii)
0.6574
(iv)
0.7574
(v)
0.9574
Question
27
27.
Find the period of the recurring decimal
17.
7
(i)
0
(ii)
7
(iii)
2
(iv)
70
(v)
1
Question
28
28.
Find the period of the recurring decimal
19.22222222222222...
(i)
0
(ii)
2
(iii)
1
(iv)
20
Question
29
29.
Find the periodicity of the recurring decimal
2.3
8
(i)
8
(ii)
1
(iii)
0
(iv)
2
(v)
-1
Question
30
30.
Find the periodicity of the recurring decimal
4.88888888888888...
(i)
1
(ii)
2
(iii)
-1
(iv)
0
(v)
8
Question
31
31.
The recurring part of the decimal
18.
238095
is
(i)
238095238095
(ii)
238095
(iii)
18.238095
(iv)
2380952238095
(v)
23809521
Question
32
32.
The recurring part of the decimal
21.22222222222222...
is
(i)
222
(ii)
21.2
(iii)
22
(iv)
2
Question
33
33.
Convert the non-terminating recurring decimal
17.
1
to rational number
(i)
14
(ii)
154
9
(iii)
152
9
(iv)
22
(v)
52
3
Question
34
34.
Convert the non-terminating recurring decimal
17.62962962962962...
to rational number
(i)
478
27
(ii)
476
25
(iii)
158
9
(iv)
476
29
(v)
476
27
Question
35
35.
Convert the fraction
127
9
to non-terminating recurring decimal
(i)
1.4
1
(ii)
1411.
1
(iii)
0.
1
(iv)
14.
1
(v)
141.
1
Question
36
36.
Convert the fraction
563
21
to non-terminating recurring decimal
(i)
2.6
809523
(ii)
268.
095238
(iii)
2680.95238095238
1
(iv)
26.
809523
(v)
0.26
809523
Question
37
37.
Which of the following fractions converts to a non-terminating recurring decimal?
(i)
3120
320
(ii)
39
2
(iii)
3952
80
(iv)
43
4
(v)
167
9
Question
38
38.
Which of the following fractions converts to a terminating decimal?
(i)
349
18
(ii)
205
306
(iii)
205
99
(iv)
3468
200
(v)
205
18
Assignment Key
1) (i)
2) (v)
3) (ii)
4) (iv)
5) (ii)
6) (iv)
7) (iv)
8) (i)
9) (v)
10) (ii)
11) (i)
12) (i)
13) (iii)
14) (v)
15) (ii)
16) (iii)
17) (iii)
18) (ii)
19) (iv)
20) (iv)
21) (iii)
22) (i)
23) (i)
24) (iv)
25) (v)
26) (ii)
27) (ii)
28) (ii)
29) (ii)
30) (i)
31) (ii)
32) (iv)
33) (ii)
34) (v)
35) (iv)
36) (iv)
37) (v)
38) (iv)