EduSahara™ Assignment
Name : Rational Numbers and their Decimal Expansions
Chapter : Real Numbers
Grade : SSC Grade X
License : Non Commercial Use
Question
1
1.
Express
3
10
as a decimal correct to 1 decimal places
(i)
3
(ii)
0
(iii)
0.1
(iv)
0.4
(v)
0.3
Question
2
2.
Express
93
100
as a decimal correct to 2 decimal places
(i)
0.93
(ii)
0.09
(iii)
9.3
(iv)
0.73
(v)
1.03
Question
3
3.
Express
461
1000
as a decimal correct to 3 decimal places
(i)
4.61
(ii)
0.461
(iii)
0.046
(iv)
0.261
(v)
0.561
Question
4
4.
Express
7831
10000
as a decimal correct to 4 decimal places
(i)
0.0783
(ii)
0.8831
(iii)
0.5831
(iv)
0.7831
(v)
7.831
Question
5
5.
6.7 =
(i)
67
100
(ii)
67
10
(iii)
670
(iv)
67
(v)
67
1000
Question
6
6.
2.9 =
(i)
29
10
(ii)
29
(iii)
29
100
(iv)
290
(v)
29
1000
Question
7
7.
13.71 =
(i)
1371
100
(ii)
1371
(iii)
1371
10
(iv)
1371
1000
(v)
1371
10000
Question
8
8.
7.109 =
(i)
7109
10000
(ii)
7109
100000
(iii)
7109
1000
(iv)
7109
100
(v)
7109
10
Question
9
9.
1.1 =
(i)
11
100
(ii)
11
10
(iii)
110
(iv)
11
(v)
11
1000
Question
10
10.
9.14 =
(i)
914
(ii)
457
5
(iii)
457
500
(iv)
457
50
(v)
457
5000
Question
11
11.
3.72 =
(i)
372
(ii)
186
5
(iii)
93
2500
(iv)
93
250
(v)
93
25
Question
12
12.
3.408 =
(i)
426
125
(ii)
213
625
(iii)
852
25
(iv)
1704
5
(v)
213
6250
Question
13
13.
Express
1
8
as a decimal correct to 1 decimal places
(i)
0.3
(ii)
0.1
(iii)
-0.1
(iv)
0
(v)
0.2
Question
14
14.
Express
7
10
as a decimal correct to 2 decimal places
(i)
0.8
(ii)
0.6
(iii)
0.7
(iv)
0.9
(v)
0.5
Question
15
15.
Express
8
7
as a decimal correct to 3 decimal places
(i)
0.943
(ii)
1.243
(iii)
1.043
(iv)
1.343
(v)
1.143
Question
16
16.
Express
1
8
as a decimal correct to 4 decimal places
(i)
0.125
(ii)
0.225
(iii)
0.025
(iv)
-0.075
(v)
0.325
Question
17
17.
Express
27
73
as a decimal correct to 1 decimal places
(i)
0.6
(ii)
0.3
(iii)
0.4
(iv)
0.2
(v)
0.5
Question
18
18.
Find the period of the recurring decimal
28.
5
(i)
0
(ii)
5
(iii)
2
(iv)
1
(v)
50
Question
19
19.
Find the period of the recurring decimal
1.88888888888888...
(i)
80
(ii)
8
(iii)
1
(iv)
2
(v)
0
Question
20
20.
Find the periodicity of the recurring decimal
21.
7
(i)
-1
(ii)
1
(iii)
7
(iv)
2
(v)
0
Question
21
21.
Find the periodicity of the recurring decimal
17.09523809523809...
(i)
95238
(ii)
6
(iii)
4
(iv)
5
(v)
7
Question
22
22.
The recurring part of the decimal
10.
8
is
(i)
88
(ii)
10.8
(iii)
8
(iv)
881
(v)
888
Question
23
23.
The recurring part of the decimal
1.38888888888888...
is
(i)
881
(ii)
8
(iii)
88
(iv)
1.38
(v)
838
Question
24
24.
Convert the non-terminating recurring decimal
24.6
1
to rational number
(i)
49
2
(ii)
443
20
(iii)
443
18
(iv)
445
18
(v)
443
16
Question
25
25.
Convert the non-terminating recurring decimal
17.88888888888888...
to rational number
(i)
23
(ii)
163
9
(iii)
161
11
(iv)
161
9
(v)
53
3
Question
26
26.
Convert the fraction
275
9
to non-terminating recurring decimal
(i)
0.30
5
(ii)
3.0
5
(iii)
3055.
5
(iv)
305.
5
(v)
30.
5
Question
27
27.
Convert the fraction
226
9
to non-terminating recurring decimal
(i)
0.25
1
(ii)
2.5
1
(iii)
251.
1
(iv)
2511.
1
(v)
25.
1
Question
28
28.
Which of the following fractions converts to a non-terminating recurring decimal?
(i)
289
4
(ii)
3600
125
(iii)
2280
32
(iv)
285
2
(v)
92
9
Question
29
29.
Which of the following fractions converts to a terminating decimal?
(i)
217
18
(ii)
217
99
(iii)
217
270
(iv)
3060
16
(v)
125
9
Question
30
30.
Which of the following is an irrational number?
(i)
3
√
33
(ii)
2
3
(iii)
3.5926
(iv)
7
(v)
5
Question
31
31.
Which of the following is a rational number?
(i)
6
8
(ii)
3
√
47
(iii)
3
√
37
(iv)
√
30
(v)
√
50
Question
32
32.
Which of the following is a decimal fraction?
(i)
3
5
(ii)
16
7
(iii)
7
3
4
(iv)
6
10
Question
33
33.
Which of the following is a decimal fraction?
(i)
17
12
(ii)
17
1
7
(iii)
3
3
8
(iv)
1
9
(v)
3
100
Question
34
34.
Which of the following is a decimal fraction?
(i)
8
1000
(ii)
2
7
(iii)
6
2
19
(iv)
18
2
17
(v)
11
5
Question
35
35.
Which of the following is a decimal fraction?
(i)
8
10000
(ii)
5
2
5
(iii)
3
7
(iv)
19
4
(v)
7
4
11
Assignment Key
1) (v)
2) (i)
3) (ii)
4) (iv)
5) (ii)
6) (i)
7) (i)
8) (iii)
9) (ii)
10) (iv)
11) (v)
12) (i)
13) (ii)
14) (iii)
15) (v)
16) (i)
17) (iii)
18) (ii)
19) (ii)
20) (ii)
21) (ii)
22) (iii)
23) (ii)
24) (iii)
25) (iv)
26) (v)
27) (v)
28) (v)
29) (iv)
30) (i)
31) (i)
32) (iv)
33) (v)
34) (i)
35) (i)