EduSahara™ Assignment
Name : Rational Numbers and their Decimal Expansions
Chapter : Real Numbers
Grade : SSC Grade X
License : Non Commercial Use
Question
1
1.
Express
1
10
as a decimal correct to 1 decimal places
(i)
-0.1
(ii)
1
(iii)
0.2
(iv)
0
(v)
0.1
Question
2
2.
Express
83
100
as a decimal correct to 2 decimal places
(i)
0.63
(ii)
0.08
(iii)
0.83
(iv)
8.3
(v)
0.93
Question
3
3.
Express
623
1000
as a decimal correct to 3 decimal places
(i)
0.062
(ii)
0.423
(iii)
0.723
(iv)
0.623
(v)
6.23
Question
4
4.
Express
5019
10000
as a decimal correct to 4 decimal places
(i)
0.3019
(ii)
0.0502
(iii)
0.5019
(iv)
5.019
(v)
0.6019
Question
5
5.
6.9 =
(i)
69
1000
(ii)
690
(iii)
69
100
(iv)
69
10
(v)
69
Question
6
6.
4.0 =
(i)
2
5
(ii)
40
(iii)
4
1
(iv)
1
25
(v)
400
Question
7
7.
18.28 =
(i)
457
2500
(ii)
457
25
(iii)
1828
(iv)
914
5
(v)
457
250
Question
8
8.
1.699 =
(i)
1699
10000
(ii)
1699
10
(iii)
1699
1000
(iv)
1699
100
(v)
1699
100000
Question
9
9.
1.1 =
(i)
11
1000
(ii)
110
(iii)
11
10
(iv)
11
(v)
11
100
Question
10
10.
7.19 =
(i)
719
100
(ii)
719
(iii)
719
1000
(iv)
719
10
(v)
719
10000
Question
11
11.
11.66 =
(i)
583
500
(ii)
583
50
(iii)
583
5000
(iv)
583
5
(v)
1166
Question
12
12.
9.790 =
(i)
979
100
(ii)
979
(iii)
979
10
(iv)
979
1000
(v)
979
10000
Question
13
13.
Express
6
5
as a decimal correct to 1 decimal places
(i)
1
(ii)
1.1
(iii)
1.2
(iv)
1.3
(v)
1.4
Question
14
14.
Express
3
7
as a decimal correct to 2 decimal places
(i)
0.33
(ii)
0.53
(iii)
0.63
(iv)
0.23
(v)
0.43
Question
15
15.
Express
1
10
as a decimal correct to 3 decimal places
(i)
0.1
(ii)
-0.1
(iii)
0.3
(iv)
0.2
(v)
0
Question
16
16.
Express
1
9
as a decimal correct to 4 decimal places
(i)
-0.0889
(ii)
0.0111
(iii)
0.1111
(iv)
0.2111
(v)
0.3111
Question
17
17.
Express
28
53
as a decimal correct to 1 decimal places
(i)
0.3
(ii)
0.5
(iii)
0.7
(iv)
0.6
(v)
0.4
Question
18
18.
Find the period of the recurring decimal
19.
2
(i)
20
(ii)
2
(iii)
1
(iv)
0
Question
19
19.
Find the period of the recurring decimal
25.51851851851851...
(i)
4
(ii)
51
(iii)
518
(iv)
5180
(v)
3
Question
20
20.
Find the periodicity of the recurring decimal
19.
592
(i)
2
(ii)
592
(iii)
4
(iv)
1
(v)
3
Question
21
21.
Find the periodicity of the recurring decimal
14.70370370370370...
(i)
3
(ii)
703
(iii)
2
(iv)
4
(v)
1
Question
22
22.
The recurring part of the decimal
2.
238095
is
(i)
23809522
(ii)
2380952238095
(iii)
238095238095
(iv)
2.238095
(v)
238095
Question
23
23.
The recurring part of the decimal
25.37037037037037...
is
(i)
370370
(ii)
25.370
(iii)
3703370
(iv)
37032
(v)
370
Question
24
24.
Convert the non-terminating recurring decimal
27.
851
to rational number
(i)
752
27
(ii)
250
9
(iii)
752
29
(iv)
754
27
(v)
752
25
Question
25
25.
Convert the non-terminating recurring decimal
23.76190476190476...
to rational number
(i)
499
19
(ii)
167
7
(iii)
499
21
(iv)
499
23
(v)
71
3
Question
26
26.
Convert the fraction
227
27
to non-terminating recurring decimal
(i)
8.
407
(ii)
840.
740
(iii)
0.8
407
(iv)
0.08
407
(v)
84.
074
Question
27
27.
Convert the fraction
278
9
to non-terminating recurring decimal
(i)
308.
8
(ii)
3.0
8
(iii)
3088.
8
(iv)
0.30
8
(v)
30.
8
Question
28
28.
Which of the following fractions converts to a non-terminating recurring decimal?
(i)
3060
80
(ii)
2508
16
(iii)
109
9
(iv)
153
2
(v)
157
4
Question
29
29.
Which of the following fractions converts to a terminating decimal?
(i)
197
135
(ii)
197
324
(iii)
2310
160
(iv)
197
18
(v)
133
9
Question
30
30.
Which of the following is an irrational number?
(i)
18
(ii)
27.0556
(iii)
√
53
(iv)
23
24
(v)
2
Question
31
31.
Which of the following is a rational number?
(i)
3
√
56
(ii)
1
17
(iii)
√
66
(iv)
3
√
84
(v)
√
74
Question
32
32.
Which of the following is a decimal fraction?
(i)
13
13
15
(ii)
4
6
(iii)
12
11
(iv)
14
1
17
(v)
5
10
Question
33
33.
Which of the following is a decimal fraction?
(i)
1
2
(ii)
15
14
(iii)
14
1
3
(iv)
7
100
(v)
5
8
11
Question
34
34.
Which of the following is a decimal fraction?
(i)
4
15
(ii)
3
6
7
(iii)
18
17
(iv)
8
1
18
(v)
2
1000
Question
35
35.
Which of the following is a decimal fraction?
(i)
21
1
2
(ii)
2
3
(iii)
2
10000
(iv)
15
8
13
(v)
13
11
Assignment Key
1) (v)
2) (iii)
3) (iv)
4) (iii)
5) (iv)
6) (iii)
7) (ii)
8) (iii)
9) (iii)
10) (i)
11) (ii)
12) (i)
13) (iii)
14) (v)
15) (i)
16) (iii)
17) (ii)
18) (ii)
19) (iii)
20) (v)
21) (i)
22) (v)
23) (v)
24) (i)
25) (iii)
26) (i)
27) (v)
28) (iii)
29) (iii)
30) (iii)
31) (ii)
32) (v)
33) (iv)
34) (v)
35) (iii)