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
30.
523809
is
(i)
523809523809
(ii)
5238095523809
(iii)
30.523809
(iv)
52380953
(v)
523809
Question
2
2.
The recurring part of the decimal
9.29629629629629...
is
(i)
296
(ii)
29629
(iii)
296296
(iv)
9.296
(v)
2962296
Question
3
3.
Convert the non-terminating recurring decimal
29.
8
to rational number
(i)
269
9
(ii)
269
7
(iii)
89
3
(iv)
271
9
(v)
269
11
Question
4
4.
Convert the non-terminating recurring decimal
18.59259259259259...
to rational number
(i)
502
27
(ii)
56
3
(iii)
502
25
(iv)
502
29
(v)
500
27
Question
5
5.
Convert the fraction
290
21
to non-terminating recurring decimal
(i)
13.
809523
(ii)
0.1
380952
(iii)
1380.
952380
(iv)
138.
095238
(v)
1.
380952
Question
6
6.
Convert the fraction
208
9
to non-terminating recurring decimal
(i)
2311.
1
(ii)
2.3
1
(iii)
0.23
1
(iv)
23.
1
(v)
231.
1
Question
7
7.
Which of the following fractions converts to a non-terminating recurring decimal?
(i)
6400
80
(ii)
81
1
(iii)
3744
32
(iv)
125
9
(v)
160
1
Question
8
8.
Which of the following fractions converts to a terminating decimal?
(i)
94
9
(ii)
1848
80
(iii)
1
3
(iv)
47
90
(v)
188
117
Question
9
9.
Which of the following is an irrational number?
(i)
4
19
(ii)
0.3333
(iii)
(-10)
(iv)
4
(v)
√
47
Question
10
10.
Which of the following is a rational number?
(i)
3
√
51
(ii)
12
20
(iii)
3
√
47
(iv)
√
57
(v)
√
91
Question
11
11.
Express
9
10
as a decimal correct to 1 decimal places
(i)
0.7
(ii)
0.9
(iii)
9
(iv)
1
(v)
0.1
Question
12
12.
Express
77
100
as a decimal correct to 2 decimal places
(i)
0.77
(ii)
0.57
(iii)
0.08
(iv)
0.87
(v)
7.7
Question
13
13.
Express
701
1000
as a decimal correct to 3 decimal places
(i)
0.801
(ii)
7.01
(iii)
0.07
(iv)
0.501
(v)
0.701
Question
14
14.
Express
9483
10000
as a decimal correct to 4 decimal places
(i)
0.0948
(ii)
1.0483
(iii)
0.9483
(iv)
9.483
(v)
0.7483
Question
15
15.
5.9 =
(i)
59
10
(ii)
59
(iii)
59
1000
(iv)
59
100
(v)
590
Question
16
16.
1.9 =
(i)
19
(ii)
19
10
(iii)
19
1000
(iv)
190
(v)
19
100
Question
17
17.
19.37 =
(i)
1937
1000
(ii)
1937
(iii)
1937
10
(iv)
1937
10000
(v)
1937
100
Question
18
18.
10.720 =
(i)
536
5
(ii)
67
625
(iii)
134
125
(iv)
1072
(v)
268
25
Question
19
19.
10.9 =
(i)
1090
(ii)
109
10
(iii)
109
1000
(iv)
109
100
(v)
109
Question
20
20.
4.19 =
(i)
419
(ii)
419
100
(iii)
419
10000
(iv)
419
1000
(v)
419
10
Question
21
21.
10.25 =
(i)
41
40
(ii)
1025
(iii)
205
2
(iv)
41
400
(v)
41
4
Question
22
22.
8.271 =
(i)
8271
100
(ii)
8271
10000
(iii)
8271
10
(iv)
8271
1000
(v)
8271
100000
Question
23
23.
Which of the following symbols represent the set of Natural numbers ?
(i)
Q
(ii)
Q'
(iii)
R
(iv)
Z
(v)
N
Question
24
24.
Which of the following symbols represent the set of Whole numbers ?
(i)
R
(ii)
N
(iii)
Q'
(iv)
Z
(v)
W
Question
25
25.
Which of the following symbols represent the set of Integers ?
(i)
Q
(ii)
N
(iii)
R
(iv)
Z
(v)
Q'
Question
26
26.
Which of the following symbols represent the set of Rational numbers ?
(i)
Z
(ii)
Q
(iii)
W
(iv)
Q'
(v)
R
Question
27
27.
Which of the following symbols represent the set of Irrational numbers ?
(i)
R
(ii)
Q'
(iii)
W
(iv)
N
(v)
Q
Question
28
28.
Which of the following symbols represent the set of Real numbers ?
(i)
Q
(ii)
Z
(iii)
R
(iv)
W
(v)
N
Assignment Key
1) (v)
2) (i)
3) (i)
4) (i)
5) (i)
6) (iv)
7) (iv)
8) (ii)
9) (v)
10) (ii)
11) (ii)
12) (i)
13) (v)
14) (iii)
15) (i)
16) (ii)
17) (v)
18) (v)
19) (ii)
20) (ii)
21) (v)
22) (iv)
23) (v)
24) (v)
25) (iv)
26) (ii)
27) (ii)
28) (iii)