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
22.
2
is
(i)
22.2
(ii)
2
(iii)
22
(iv)
222
Question
2
2.
The recurring part of the decimal
28.80952380952381...
is
(i)
80952382
(ii)
809523809523
(iii)
28.809523
(iv)
809523
(v)
8095238809523
Question
3
3.
Convert the non-terminating recurring decimal
8.
851
to rational number
(i)
239
25
(ii)
239
29
(iii)
241
27
(iv)
79
9
(v)
239
27
Question
4
4.
Convert the non-terminating recurring decimal
18.94444444444444...
to rational number
(i)
341
18
(ii)
341
20
(iii)
343
18
(iv)
341
16
(v)
113
6
Question
5
5.
Convert the fraction
67
27
to non-terminating recurring decimal
(i)
2.
481
(ii)
248.
148
(iii)
0.02
481
(iv)
0.2
481
(v)
24.
814
Question
6
6.
Convert the fraction
143
21
to non-terminating recurring decimal
(i)
0.06
809523
(ii)
680.
952380
(iii)
6.
809523
(iv)
0.6
809523
(v)
68.
095238
Question
7
7.
Which of the following fractions converts to a non-terminating recurring decimal?
(i)
119
5
(ii)
228
5
(iii)
4560
200
(iv)
5700
50
(v)
94
9
Question
8
8.
Which of the following fractions converts to a terminating decimal?
(i)
172
9
(ii)
344
99
(iii)
3876
200
(iv)
289
18
(v)
43
45
Question
9
9.
Which of the following is an irrational number?
(i)
14.7778
(ii)
3
√
13
(iii)
2
(iv)
19
29
Question
10
10.
Which of the following is a rational number?
(i)
3
√
28
(ii)
3
√
39
(iii)
√
10
(iv)
1
2
(v)
3
√
84
Question
11
11.
Express
3
10
as a decimal correct to 1 decimal places
(i)
0.1
(ii)
0
(iii)
0.4
(iv)
0.3
(v)
3
Question
12
12.
Express
29
100
as a decimal correct to 2 decimal places
(i)
0.03
(ii)
0.39
(iii)
0.09
(iv)
2.9
(v)
0.29
Question
13
13.
Express
211
1000
as a decimal correct to 3 decimal places
(i)
0.211
(ii)
0.311
(iii)
2.11
(iv)
0.021
(v)
0.011
Question
14
14.
Express
9901
10000
as a decimal correct to 4 decimal places
(i)
1.0901
(ii)
0.7901
(iii)
0.099
(iv)
9.901
(v)
0.9901
Question
15
15.
4.4 =
(i)
11
25
(ii)
22
5
(iii)
440
(iv)
44
(v)
11
250
Question
16
16.
4.1 =
(i)
41
1000
(ii)
410
(iii)
41
(iv)
41
10
(v)
41
100
Question
17
17.
19.72 =
(i)
986
5
(ii)
1972
(iii)
493
250
(iv)
493
2500
(v)
493
25
Question
18
18.
4.107 =
(i)
4107
10
(ii)
4107
100
(iii)
4107
100000
(iv)
4107
10000
(v)
4107
1000
Question
19
19.
1.6 =
(i)
2
125
(ii)
16
(iii)
8
5
(iv)
4
25
(v)
160
Question
20
20.
9.13 =
(i)
913
1000
(ii)
913
100
(iii)
913
10000
(iv)
913
(v)
913
10
Question
21
21.
18.55 =
(i)
371
20
(ii)
371
2
(iii)
371
2000
(iv)
1855
(v)
371
200
Question
22
22.
8.325 =
(i)
333
4
(ii)
1665
2
(iii)
333
400
(iv)
333
40
(v)
333
4000
Question
23
23.
Which of the following symbols represent the set of Natural numbers ?
(i)
Z
(ii)
N
(iii)
Q'
(iv)
R
(v)
Q
Question
24
24.
Which of the following symbols represent the set of Whole numbers ?
(i)
R
(ii)
Z
(iii)
W
(iv)
Q'
(v)
N
Question
25
25.
Which of the following symbols represent the set of Integers ?
(i)
N
(ii)
Z
(iii)
Q
(iv)
R
(v)
Q'
Question
26
26.
Which of the following symbols represent the set of Rational numbers ?
(i)
W
(ii)
Z
(iii)
Q
(iv)
Q'
(v)
R
Question
27
27.
Which of the following symbols represent the set of Irrational numbers ?
(i)
Q'
(ii)
R
(iii)
Z
(iv)
Q
(v)
N
Question
28
28.
Which of the following symbols represent the set of Real numbers ?
(i)
Q'
(ii)
Q
(iii)
Z
(iv)
R
(v)
W
Assignment Key
1) (ii)
2) (iv)
3) (v)
4) (i)
5) (i)
6) (iii)
7) (v)
8) (iii)
9) (ii)
10) (iv)
11) (iv)
12) (v)
13) (i)
14) (v)
15) (ii)
16) (iv)
17) (v)
18) (v)
19) (iii)
20) (ii)
21) (i)
22) (iv)
23) (ii)
24) (iii)
25) (ii)
26) (iii)
27) (i)
28) (iv)