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
0.
3
is
(i)
3
(ii)
0.3
(iii)
33
(iv)
333
(v)
330
Question
2
2.
The recurring part of the decimal
20.44444444444444...
is
(i)
442
(ii)
4
(iii)
444
(iv)
44
(v)
20.4
Question
3
3.
Convert the non-terminating recurring decimal
24.
1
to rational number
(i)
215
9
(ii)
217
11
(iii)
31
(iv)
217
9
(v)
73
3
Question
4
4.
Convert the non-terminating recurring decimal
8.80952380952381...
to rational number
(i)
61
7
(ii)
185
23
(iii)
187
21
(iv)
185
19
(v)
185
21
Question
5
5.
Convert the fraction
265
18
to non-terminating recurring decimal
(i)
1472.
2
(ii)
1.47
2
(iii)
0.147
2
(iv)
147.
2
(v)
14.7
2
Question
6
6.
Convert the fraction
535
18
to non-terminating recurring decimal
(i)
297.
2
(ii)
2972.
2
(iii)
0.
2
(iv)
29.7
2
(v)
2.97
2
Question
7
7.
Which of the following fractions converts to a non-terminating recurring decimal?
(i)
4212
8
(ii)
1055
2
(iii)
1053
1
(iv)
253
18
(v)
2184
256
Question
8
8.
Which of the following fractions converts to a terminating decimal?
(i)
307
18
(ii)
331
18
(iii)
331
117
(iv)
1980
160
(v)
331
288
Question
9
9.
Which of the following is an irrational number?
(i)
2.8889
(ii)
(-5)
(iii)
3
√
37
(iv)
6
7
(v)
27
Question
10
10.
Which of the following is a rational number?
(i)
√
77
(ii)
√
14
(iii)
√
43
(iv)
1
5
(v)
3
√
89
Question
11
11.
Express
7
10
as a decimal correct to 1 decimal places
(i)
0.8
(ii)
0.5
(iii)
0.7
(iv)
7
(v)
0.1
Question
12
12.
Express
13
100
as a decimal correct to 2 decimal places
(i)
-0.07
(ii)
0.13
(iii)
0.23
(iv)
1.3
(v)
0.01
Question
13
13.
Express
627
1000
as a decimal correct to 3 decimal places
(i)
0.627
(ii)
0.427
(iii)
0.727
(iv)
6.27
(v)
0.063
Question
14
14.
Express
8277
10000
as a decimal correct to 4 decimal places
(i)
8.277
(ii)
0.0828
(iii)
0.9277
(iv)
0.6277
(v)
0.8277
Question
15
15.
9.7 =
(i)
97
100
(ii)
97
10
(iii)
97
1000
(iv)
970
(v)
97
Question
16
16.
5.8 =
(i)
580
(ii)
58
(iii)
29
500
(iv)
29
50
(v)
29
5
Question
17
17.
12.80 =
(i)
32
25
(ii)
64
5
(iii)
16
125
(iv)
1280
(v)
128
Question
18
18.
8.363 =
(i)
8363
100
(ii)
8363
100000
(iii)
8363
1000
(iv)
8363
10000
(v)
8363
10
Question
19
19.
5.5 =
(i)
11
200
(ii)
11
20
(iii)
550
(iv)
11
2
(v)
55
Question
20
20.
7.14 =
(i)
357
500
(ii)
357
50
(iii)
357
5000
(iv)
714
(v)
357
5
Question
21
21.
3.80 =
(i)
38
(ii)
19
5
(iii)
380
(iv)
19
50
(v)
19
500
Question
22
22.
4.647 =
(i)
4647
100000
(ii)
4647
10000
(iii)
4647
10
(iv)
4647
1000
(v)
4647
100
Question
23
23.
Which of the following symbols represent the set of Natural numbers ?
(i)
W
(ii)
Z
(iii)
Q'
(iv)
N
(v)
Q
Question
24
24.
Which of the following symbols represent the set of Whole numbers ?
(i)
Q'
(ii)
N
(iii)
Q
(iv)
W
(v)
Z
Question
25
25.
Which of the following symbols represent the set of Integers ?
(i)
Z
(ii)
N
(iii)
Q
(iv)
R
(v)
W
Question
26
26.
Which of the following symbols represent the set of Rational numbers ?
(i)
Q
(ii)
Q'
(iii)
W
(iv)
Z
(v)
N
Question
27
27.
Which of the following symbols represent the set of Irrational numbers ?
(i)
W
(ii)
Q'
(iii)
Q
(iv)
N
(v)
R
Question
28
28.
Which of the following symbols represent the set of Real numbers ?
(i)
N
(ii)
Q'
(iii)
Q
(iv)
R
(v)
Z
Assignment Key
1) (i)
2) (ii)
3) (iv)
4) (v)
5) (v)
6) (iv)
7) (iv)
8) (iv)
9) (iii)
10) (iv)
11) (iii)
12) (ii)
13) (i)
14) (v)
15) (ii)
16) (v)
17) (ii)
18) (iii)
19) (iv)
20) (ii)
21) (ii)
22) (iv)
23) (iv)
24) (iv)
25) (i)
26) (i)
27) (ii)
28) (iv)