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
5
as a decimal correct to 2 decimal places
(i)
1.2
(ii)
1.5
(iii)
14
(iv)
0.14
(v)
1.4
Question
2
2.
Express
5
9
as a decimal correct to 2 decimal places
(i)
0.06
(ii)
5.56
(iii)
0.56
(iv)
0.66
(v)
0.36
Question
3
3.
Express
16
3
as a decimal correct to 2 decimal places
(i)
5.13
(ii)
5.43
(iii)
5.33
(iv)
53.33
(v)
0.53
Question
4
4.
Express
73
64
as a decimal correct to 2 decimal places
(i)
0.94
(ii)
0.11
(iii)
1.14
(iv)
11.41
(v)
1.24
Question
5
5.
Express
1
10
as a decimal correct to 1 decimal places
(i)
-0.1
(ii)
0.2
(iii)
1
(iv)
0
(v)
0.1
Question
6
6.
Express
79
100
as a decimal correct to 2 decimal places
(i)
0.59
(ii)
7.9
(iii)
0.89
(iv)
0.79
(v)
0.08
Question
7
7.
Express
947
1000
as a decimal correct to 3 decimal places
(i)
0.095
(ii)
0.947
(iii)
0.747
(iv)
1.047
(v)
9.47
Question
8
8.
Express
7411
10000
as a decimal correct to 4 decimal places
(i)
0.0741
(ii)
0.7411
(iii)
0.5411
(iv)
0.8411
(v)
7.411
Question
9
9.
10.3 =
(i)
103
100
(ii)
103
10
(iii)
1030
(iv)
103
1000
(v)
103
Question
10
10.
7.5 =
(i)
15
2
(ii)
3
4
(iii)
750
(iv)
3
40
(v)
75
Question
11
11.
7.82 =
(i)
391
500
(ii)
782
(iii)
391
5000
(iv)
391
5
(v)
391
50
Question
12
12.
8.321 =
(i)
8321
1000
(ii)
8321
10000
(iii)
8321
10
(iv)
8321
100000
(v)
8321
100
Question
13
13.
6.6 =
(i)
33
5
(ii)
33
500
(iii)
66
(iv)
33
50
(v)
660
Question
14
14.
5.20 =
(i)
26
5
(ii)
13
25
(iii)
52
(iv)
13
250
(v)
520
Question
15
15.
8.63 =
(i)
863
10000
(ii)
863
1000
(iii)
863
100
(iv)
863
(v)
863
10
Question
16
16.
6.551 =
(i)
6551
100000
(ii)
6551
100
(iii)
6551
10000
(iv)
6551
1000
(v)
6551
10
Question
17
17.
Express
9
7
as a decimal correct to 1 decimal places
(i)
1.2
(ii)
1.1
(iii)
1.3
(iv)
1.4
(v)
1.5
Question
18
18.
Express
2
5
as a decimal correct to 2 decimal places
(i)
0.6
(ii)
0.5
(iii)
0.2
(iv)
0.4
(v)
0.3
Question
19
19.
Express
8
5
as a decimal correct to 3 decimal places
(i)
1.6
(ii)
1.4
(iii)
1.8
(iv)
1.5
(v)
1.7
Question
20
20.
Express
2
7
as a decimal correct to 4 decimal places
(i)
0.2857
(ii)
0.0857
(iii)
0.4857
(iv)
0.1857
(v)
0.3857
Question
21
21.
Express
85
13
as a decimal correct to 1 decimal places
(i)
6.3
(ii)
6.7
(iii)
6.6
(iv)
6.4
(v)
6.5
Question
22
22.
Express
64
89
as a decimal correct to 2 decimal places
(i)
0.72
(ii)
0.92
(iii)
0.82
(iv)
0.52
(v)
0.62
Question
23
23.
Express
37
23
as a decimal correct to 3 decimal places
(i)
1.409
(ii)
1.809
(iii)
1.609
(iv)
1.709
(v)
1.509
Question
24
24.
Express
75
71
as a decimal correct to 4 decimal places
(i)
1.2563
(ii)
1.1563
(iii)
0.8563
(iv)
1.0563
(v)
0.9563
Question
25
25.
Express
621
728
as a decimal correct to 3 decimal places
(i)
0.853
(ii)
1.053
(iii)
0.953
(iv)
0.653
(v)
0.753
Question
26
26.
Express
9059
4099
as a decimal correct to 4 decimal places
(i)
2.1101
(ii)
2.4101
(iii)
2.2101
(iv)
2.0101
(v)
2.3101
Question
27
27.
Find the period of the recurring decimal
22.
190476
(i)
190476
(ii)
6
(iii)
7
(iv)
19047
(v)
1904760
Question
28
28.
Find the period of the recurring decimal
16.95238095238095...
(i)
7
(ii)
95238
(iii)
952380
(iv)
6
(v)
9523800
Question
29
29.
Find the periodicity of the recurring decimal
12.
4
(i)
2
(ii)
4
(iii)
-1
(iv)
1
(v)
0
Question
30
30.
Find the periodicity of the recurring decimal
29.55555555555555...
(i)
5
(ii)
2
(iii)
0
(iv)
1
(v)
-1
Question
31
31.
The recurring part of the decimal
12.
7
is
(i)
771
(ii)
7
(iii)
77
(iv)
777
(v)
12.7
Question
32
32.
The recurring part of the decimal
10.88888888888888...
is
(i)
88
(ii)
888
(iii)
881
(iv)
8
(v)
10.8
Question
33
33.
Convert the non-terminating recurring decimal
0.
3
to rational number
(i)
1
(ii)
1
3
(iii)
(
-1
3
)
(iv)
1
5
Question
34
34.
Convert the non-terminating recurring decimal
2.29629629629629...
to rational number
(i)
62
27
(ii)
62
25
(iii)
20
9
(iv)
64
27
(v)
62
29
Question
35
35.
Convert the fraction
20
9
to non-terminating recurring decimal
(i)
22.
2
(ii)
222.
2
(iii)
0.0
2
(iv)
2.
2
(v)
0.
2
Question
36
36.
Convert the fraction
112
27
to non-terminating recurring decimal
(i)
4.
148
(ii)
0.04
148
(iii)
414.
814
(iv)
41.
481
(v)
0.4
148
Question
37
37.
Which of the following fractions converts to a non-terminating recurring decimal?
(i)
223
18
(ii)
3648
100
(iii)
355
4
(iv)
351
2
(v)
3510
40
Question
38
38.
Which of the following fractions converts to a terminating decimal?
(i)
245
108
(ii)
100
9
(iii)
245
18
(iv)
3600
64
(v)
35
36
Assignment Key
1) (v)
2) (iii)
3) (iii)
4) (iii)
5) (v)
6) (iv)
7) (ii)
8) (ii)
9) (ii)
10) (i)
11) (v)
12) (i)
13) (i)
14) (i)
15) (iii)
16) (iv)
17) (iii)
18) (iv)
19) (i)
20) (i)
21) (v)
22) (i)
23) (iii)
24) (iv)
25) (i)
26) (iii)
27) (i)
28) (iii)
29) (iv)
30) (iv)
31) (ii)
32) (iv)
33) (ii)
34) (i)
35) (iv)
36) (i)
37) (i)
38) (iv)