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)
0.7
(iii)
0.1
(iv)
0.5
(v)
7
Question
2
2.
Express
23
100
as a decimal correct to 2 decimal places
(i)
0.02
(ii)
0.33
(iii)
0.23
(iv)
0.03
(v)
2.3
Question
3
3.
Express
997
1000
as a decimal correct to 3 decimal places
(i)
1.097
(ii)
0.997
(iii)
0.1
(iv)
9.97
(v)
0.797
Question
4
4.
Express
8869
10000
as a decimal correct to 4 decimal places
(i)
0.8869
(ii)
0.9869
(iii)
8.869
(iv)
0.0887
(v)
0.6869
Question
5
5.
4.4 =
(i)
11
25
(ii)
440
(iii)
44
(iv)
22
5
(v)
11
250
Question
6
6.
2.7 =
(i)
27
1000
(ii)
270
(iii)
27
100
(iv)
27
(v)
27
10
Question
7
7.
16.64 =
(i)
208
125
(ii)
832
5
(iii)
416
25
(iv)
1664
(v)
104
625
Question
8
8.
1.439 =
(i)
1439
100000
(ii)
1439
1000
(iii)
1439
10
(iv)
1439
10000
(v)
1439
100
Question
9
9.
6.1 =
(i)
61
1000
(ii)
610
(iii)
61
100
(iv)
61
10
(v)
61
Question
10
10.
3.11 =
(i)
311
100
(ii)
311
(iii)
311
10
(iv)
311
1000
(v)
311
10000
Question
11
11.
7.89 =
(i)
789
(ii)
789
100
(iii)
789
10
(iv)
789
10000
(v)
789
1000
Question
12
12.
1.495 =
(i)
299
2
(ii)
299
200
(iii)
299
20000
(iv)
299
2000
(v)
299
20
Question
13
13.
Express
2
3
as a decimal correct to 1 decimal places
(i)
0.6
(ii)
0.5
(iii)
0.8
(iv)
0.7
(v)
0.9
Question
14
14.
Express
3
7
as a decimal correct to 2 decimal places
(i)
0.43
(ii)
0.23
(iii)
0.63
(iv)
0.33
(v)
0.53
Question
15
15.
Express
9
7
as a decimal correct to 3 decimal places
(i)
1.086
(ii)
1.386
(iii)
1.486
(iv)
1.286
(v)
1.186
Question
16
16.
Express
4
7
as a decimal correct to 4 decimal places
(i)
0.4714
(ii)
0.6714
(iii)
0.3714
(iv)
0.5714
(v)
0.7714
Question
17
17.
Express
96
31
as a decimal correct to 1 decimal places
(i)
3.3
(ii)
3.1
(iii)
3
(iv)
3.2
(v)
2.9
Question
18
18.
Find the period of the recurring decimal
29.
4
(i)
1
(ii)
4
(iii)
40
(iv)
2
(v)
0
Question
19
19.
Find the period of the recurring decimal
8.77777777777777...
(i)
7
(ii)
2
(iii)
70
(iv)
0
(v)
1
Question
20
20.
Find the periodicity of the recurring decimal
7.
1
(i)
0
(ii)
2
(iii)
-1
(iv)
1
Question
21
21.
Find the periodicity of the recurring decimal
11.48148148148148...
(i)
2
(ii)
481
(iii)
3
(iv)
1
(v)
4
Question
22
22.
The recurring part of the decimal
12.
740
is
(i)
7407740
(ii)
74071
(iii)
740740
(iv)
12.740
(v)
740
Question
23
23.
The recurring part of the decimal
8.22222222222222...
is
(i)
22
(ii)
2
(iii)
228
(iv)
222
(v)
8.2
Question
24
24.
Convert the non-terminating recurring decimal
1.
2
to rational number
(i)
11
7
(ii)
1
(iii)
13
9
(iv)
11
9
Question
25
25.
Convert the non-terminating recurring decimal
14.55555555555555...
to rational number
(i)
43
3
(ii)
131
9
(iii)
131
11
(iv)
133
9
(v)
131
7
Question
26
26.
Convert the fraction
1
3
to non-terminating recurring decimal
(i)
0.
3
(ii)
33.
3
(iii)
0.0
3
(iv)
0.
0
(v)
3.
3
Question
27
27.
Convert the fraction
14
9
to non-terminating recurring decimal
(i)
0.1
5
(ii)
0.01
5
(iii)
155.
5
(iv)
1.
5
(v)
15.
5
Question
28
28.
Which of the following fractions converts to a non-terminating recurring decimal?
(i)
135
2
(ii)
253
18
(iii)
139
4
(iv)
2700
80
(v)
4320
128
Question
29
29.
Which of the following fractions converts to a terminating decimal?
(i)
265
18
(ii)
1
3
(iii)
1
45
(iv)
1
21
(v)
3528
80
Question
30
30.
Which of the following is an irrational number?
(i)
10
12
(ii)
23
(iii)
7
(iv)
27.1481
(v)
3
√
36
Question
31
31.
Which of the following is a rational number?
(i)
3
√
47
(ii)
6
7
(iii)
√
76
(iv)
3
√
23
(v)
3
√
53
Question
32
32.
Which of the following is a decimal fraction?
(i)
2
10
(ii)
16
4
5
(iii)
13
10
17
(iv)
17
7
(v)
2
6
Question
33
33.
Which of the following is a decimal fraction?
(i)
4
18
(ii)
5
100
(iii)
12
7
8
(iv)
17
6
(v)
10
9
11
Question
34
34.
Which of the following is a decimal fraction?
(i)
9
1
2
(ii)
3
4
(iii)
20
4
17
(iv)
16
5
(v)
3
1000
Question
35
35.
Which of the following is a decimal fraction?
(i)
8
10000
(ii)
17
3
13
(iii)
1
2
(iv)
7
5
(v)
17
10
11
Assignment Key
1) (ii)
2) (iii)
3) (ii)
4) (i)
5) (iv)
6) (v)
7) (iii)
8) (ii)
9) (iv)
10) (i)
11) (ii)
12) (ii)
13) (iv)
14) (i)
15) (iv)
16) (iv)
17) (ii)
18) (ii)
19) (i)
20) (iv)
21) (iii)
22) (v)
23) (ii)
24) (iv)
25) (ii)
26) (i)
27) (iv)
28) (ii)
29) (v)
30) (v)
31) (ii)
32) (i)
33) (ii)
34) (v)
35) (i)