EduSahara™ Assignment
Name : Rational Numbers and their Decimal Expansions
Chapter : Real Numbers
Grade : SSC Grade X
License : Non Commercial Use
Question
1
1.
Express
7
10
as a decimal correct to 1 decimal places
(i)
0.8
(ii)
7
(iii)
0.1
(iv)
0.7
(v)
0.5
Question
2
2.
Express
73
100
as a decimal correct to 2 decimal places
(i)
0.53
(ii)
7.3
(iii)
0.07
(iv)
0.83
(v)
0.73
Question
3
3.
Express
473
1000
as a decimal correct to 3 decimal places
(i)
0.273
(ii)
0.473
(iii)
4.73
(iv)
0.573
(v)
0.047
Question
4
4.
Express
8061
10000
as a decimal correct to 4 decimal places
(i)
0.9061
(ii)
0.0806
(iii)
0.6061
(iv)
8.061
(v)
0.8061
Question
5
5.
4.8 =
(i)
6
125
(ii)
48
(iii)
480
(iv)
24
5
(v)
12
25
Question
6
6.
9.9 =
(i)
990
(ii)
99
100
(iii)
99
1000
(iv)
99
10
(v)
99
Question
7
7.
5.91 =
(i)
591
10000
(ii)
591
100
(iii)
591
10
(iv)
591
(v)
591
1000
Question
8
8.
7.238 =
(i)
3619
500
(ii)
3619
5
(iii)
3619
5000
(iv)
3619
50
(v)
3619
50000
Question
9
9.
2.3 =
(i)
23
10
(ii)
230
(iii)
23
1000
(iv)
23
100
(v)
23
Question
10
10.
7.11 =
(i)
711
100
(ii)
711
10000
(iii)
711
(iv)
711
10
(v)
711
1000
Question
11
11.
12.46 =
(i)
623
5000
(ii)
1246
(iii)
623
50
(iv)
623
500
(v)
623
5
Question
12
12.
9.758 =
(i)
4879
50
(ii)
4879
50000
(iii)
4879
5
(iv)
4879
500
(v)
4879
5000
Question
13
13.
Express
9
7
as a decimal correct to 1 decimal places
(i)
1.3
(ii)
1.1
(iii)
1.2
(iv)
1.5
(v)
1.4
Question
14
14.
Express
5
2
as a decimal correct to 2 decimal places
(i)
2.3
(ii)
2.7
(iii)
2.5
(iv)
2.4
(v)
2.6
Question
15
15.
Express
9
10
as a decimal correct to 3 decimal places
(i)
0.9
(ii)
1
(iii)
0.7
(iv)
0.8
(v)
1.1
Question
16
16.
Express
6
7
as a decimal correct to 4 decimal places
(i)
1.0571
(ii)
0.7571
(iii)
0.9571
(iv)
0.8571
(v)
0.6571
Question
17
17.
Express
73
35
as a decimal correct to 1 decimal places
(i)
2.3
(ii)
1.9
(iii)
2
(iv)
2.1
(v)
2.2
Question
18
18.
Find the period of the recurring decimal
25.
047619
(i)
7
(ii)
047619
(iii)
4761
(iv)
6
(v)
476190
Question
19
19.
Find the period of the recurring decimal
21.55555555555555...
(i)
50
(ii)
1
(iii)
0
(iv)
2
(v)
5
Question
20
20.
Find the periodicity of the recurring decimal
16.
952380
(i)
4
(ii)
5
(iii)
6
(iv)
952380
(v)
7
Question
21
21.
Find the periodicity of the recurring decimal
15.95238095238095...
(i)
952380
(ii)
6
(iii)
5
(iv)
7
(v)
4
Question
22
22.
The recurring part of the decimal
17.0
5
is
(i)
5
(ii)
551
(iii)
55
(iv)
17.05
(v)
505
Question
23
23.
The recurring part of the decimal
25.77777777777777...
is
(i)
25.7
(ii)
777
(iii)
77
(iv)
772
(v)
7
Question
24
24.
Convert the non-terminating recurring decimal
22.
8
to rational number
(i)
206
9
(ii)
206
7
(iii)
68
3
(iv)
206
11
(v)
208
9
Question
25
25.
Convert the non-terminating recurring decimal
9.55555555555555...
to rational number
(i)
28
3
(ii)
88
9
(iii)
86
9
(iv)
86
11
(v)
86
7
Question
26
26.
Convert the fraction
208
9
to non-terminating recurring decimal
(i)
0.23
1
(ii)
2311.
1
(iii)
23.
1
(iv)
2.3
1
(v)
231.
1
Question
27
27.
Convert the fraction
40
9
to non-terminating recurring decimal
(i)
44.
4
(ii)
0.0
4
(iii)
444.
4
(iv)
4.
4
(v)
0.
4
Question
28
28.
Which of the following fractions converts to a non-terminating recurring decimal?
(i)
121
2
(ii)
1
3
(iii)
119
1
(iv)
2496
80
(v)
2380
40
Question
29
29.
Which of the following fractions converts to a terminating decimal?
(i)
2431
128
(ii)
209
234
(iii)
11
9
(iv)
209
18
(v)
101
9
Question
30
30.
Which of the following is an irrational number?
(i)
√
90
(ii)
(-1)
(iii)
4
(iv)
10.7407
(v)
2
14
Question
31
31.
Which of the following is a rational number?
(i)
3
√
25
(ii)
6
8
(iii)
3
√
41
(iv)
√
32
(v)
3
√
32
Question
32
32.
Which of the following is a decimal fraction?
(i)
15
4
5
(ii)
8
10
(iii)
19
2
3
(iv)
1
5
(v)
15
8
Question
33
33.
Which of the following is a decimal fraction?
(i)
3
6
(ii)
14
9
13
(iii)
9
100
(iv)
16
3
13
(v)
20
19
Question
34
34.
Which of the following is a decimal fraction?
(i)
9
5
16
(ii)
11
3
7
(iii)
3
1000
(iv)
4
9
(v)
16
9
Question
35
35.
Which of the following is a decimal fraction?
(i)
18
2
3
(ii)
17
7
(iii)
11
2
5
(iv)
12
16
(v)
7
10000
Assignment Key
1) (iv)
2) (v)
3) (ii)
4) (v)
5) (iv)
6) (iv)
7) (ii)
8) (i)
9) (i)
10) (i)
11) (iii)
12) (iv)
13) (i)
14) (iii)
15) (i)
16) (iv)
17) (iv)
18) (ii)
19) (v)
20) (iii)
21) (ii)
22) (i)
23) (v)
24) (i)
25) (iii)
26) (iii)
27) (iv)
28) (ii)
29) (i)
30) (i)
31) (ii)
32) (ii)
33) (iii)
34) (iii)
35) (v)