EduSahara™ Assignment
Name : Rational Numbers and their Decimal Expansions
Chapter : Number Systems
Grade : CBSE Grade IX
License : Non Commercial Use
Question
1
1.
The recurring part of the decimal
18.
4
is
(i)
444
(ii)
441
(iii)
18.4
(iv)
4
(v)
44
Question
2
2.
The recurring part of the decimal
17.77777777777777...
is
(i)
7
(ii)
17.7
(iii)
77
(iv)
777
(v)
771
Question
3
3.
Convert the non-terminating recurring decimal
21.
407
to rational number
(i)
64
3
(ii)
578
29
(iii)
578
25
(iv)
580
27
(v)
578
27
Question
4
4.
Convert the non-terminating recurring decimal
5.55555555555555...
to rational number
(i)
50
11
(ii)
50
7
(iii)
50
9
(iv)
16
3
(v)
52
9
Question
5
5.
Convert the fraction
1
3
to non-terminating recurring decimal
(i)
3.
3
(ii)
0.0
3
(iii)
0.
3
(iv)
0.
0
(v)
33.
3
Question
6
6.
Convert the fraction
142
27
to non-terminating recurring decimal
(i)
0.5
259
(ii)
0.05
259
(iii)
5.
259
(iv)
525.
925
(v)
52.
592
Question
7
7.
Which of the following fractions converts to a non-terminating recurring decimal?
(i)
2310
50
(ii)
936
5
(iii)
151
9
(iv)
473
5
(v)
3744
40
Question
8
8.
Which of the following fractions converts to a terminating decimal?
(i)
101
9
(ii)
202
135
(iii)
101
153
(iv)
4200
40
(v)
311
18
Question
9
9.
Which of the following is an irrational number?
(i)
25
(ii)
6
(iii)
3
√
13
(iv)
27.8519
(v)
22
30
Question
10
10.
Which of the following is a rational number?
(i)
3
√
90
(ii)
2
19
(iii)
√
51
(iv)
3
√
43
(v)
√
30
Question
11
11.
Express
3
10
as a decimal correct to 1 decimal places
(i)
0.4
(ii)
3
(iii)
0.3
(iv)
0.1
(v)
0
Question
12
12.
Express
43
100
as a decimal correct to 2 decimal places
(i)
0.23
(ii)
0.04
(iii)
0.43
(iv)
4.3
(v)
0.53
Question
13
13.
Express
853
1000
as a decimal correct to 3 decimal places
(i)
0.085
(ii)
0.653
(iii)
8.53
(iv)
0.853
(v)
0.953
Question
14
14.
Express
9851
10000
as a decimal correct to 4 decimal places
(i)
9.851
(ii)
0.7851
(iii)
1.0851
(iv)
0.9851
(v)
0.0985
Question
15
15.
6.7 =
(i)
67
(ii)
67
100
(iii)
67
1000
(iv)
67
10
(v)
670
Question
16
16.
2.5 =
(i)
1
40
(ii)
250
(iii)
5
2
(iv)
25
(v)
1
4
Question
17
17.
7.85 =
(i)
157
2000
(ii)
157
2
(iii)
157
200
(iv)
157
20
(v)
785
Question
18
18.
4.457 =
(i)
4457
1000
(ii)
4457
100000
(iii)
4457
10000
(iv)
4457
100
(v)
4457
10
Question
19
19.
6.6 =
(i)
33
50
(ii)
66
(iii)
33
5
(iv)
33
500
(v)
660
Question
20
20.
10.10 =
(i)
101
100
(ii)
101
1000
(iii)
101
(iv)
101
10
(v)
1010
Question
21
21.
6.40 =
(i)
16
25
(ii)
64
(iii)
8
125
(iv)
640
(v)
32
5
Question
22
22.
6.336 =
(i)
792
125
(ii)
1584
25
(iii)
3168
5
(iv)
198
3125
(v)
396
625
Question
23
23.
Which of the following symbols represent the set of Natural numbers ?
(i)
Q
(ii)
Z
(iii)
W
(iv)
N
(v)
Q'
Question
24
24.
Which of the following symbols represent the set of Whole numbers ?
(i)
Q'
(ii)
W
(iii)
N
(iv)
R
(v)
Q
Question
25
25.
Which of the following symbols represent the set of Integers ?
(i)
N
(ii)
R
(iii)
Q'
(iv)
Q
(v)
Z
Question
26
26.
Which of the following symbols represent the set of Rational numbers ?
(i)
N
(ii)
Q'
(iii)
W
(iv)
Q
(v)
R
Question
27
27.
Which of the following symbols represent the set of Irrational numbers ?
(i)
Z
(ii)
R
(iii)
W
(iv)
N
(v)
Q'
Question
28
28.
Which of the following symbols represent the set of Real numbers ?
(i)
Q
(ii)
N
(iii)
W
(iv)
Q'
(v)
R
Assignment Key
1) (iv)
2) (i)
3) (v)
4) (iii)
5) (iii)
6) (iii)
7) (iii)
8) (iv)
9) (iii)
10) (ii)
11) (iii)
12) (iii)
13) (iv)
14) (iv)
15) (iv)
16) (iii)
17) (iv)
18) (i)
19) (iii)
20) (iv)
21) (v)
22) (i)
23) (iv)
24) (ii)
25) (v)
26) (iv)
27) (v)
28) (v)