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)
7
(ii)
0.5
(iii)
0.7
(iv)
0.1
(v)
0.8
Question
2
2.
Express
63
100
as a decimal correct to 2 decimal places
(i)
0.43
(ii)
0.73
(iii)
6.3
(iv)
0.06
(v)
0.63
Question
3
3.
Express
563
1000
as a decimal correct to 3 decimal places
(i)
0.363
(ii)
0.663
(iii)
0.563
(iv)
0.056
(v)
5.63
Question
4
4.
Express
5711
10000
as a decimal correct to 4 decimal places
(i)
0.5711
(ii)
0.3711
(iii)
5.711
(iv)
0.0571
(v)
0.6711
Question
5
5.
2.8 =
(i)
14
5
(ii)
280
(iii)
28
(iv)
7
250
(v)
7
25
Question
6
6.
9.6 =
(i)
96
(ii)
48
5
(iii)
24
25
(iv)
12
125
(v)
960
Question
7
7.
17.57 =
(i)
1757
(ii)
1757
10000
(iii)
1757
100
(iv)
1757
1000
(v)
1757
10
Question
8
8.
5.495 =
(i)
1099
20000
(ii)
1099
20
(iii)
1099
2
(iv)
1099
200
(v)
1099
2000
Question
9
9.
1.1 =
(i)
11
(ii)
11
10
(iii)
110
(iv)
11
1000
(v)
11
100
Question
10
10.
4.11 =
(i)
411
10000
(ii)
411
100
(iii)
411
10
(iv)
411
1000
(v)
411
Question
11
11.
10.59 =
(i)
1059
10
(ii)
1059
1000
(iii)
1059
10000
(iv)
1059
(v)
1059
100
Question
12
12.
2.563 =
(i)
2563
1000
(ii)
2563
10
(iii)
2563
10000
(iv)
2563
100000
(v)
2563
100
Question
13
13.
Express
3
10
as a decimal correct to 1 decimal places
(i)
0.3
(ii)
0.2
(iii)
0.4
(iv)
0.1
(v)
0.5
Question
14
14.
Express
6
7
as a decimal correct to 2 decimal places
(i)
0.86
(ii)
0.76
(iii)
0.66
(iv)
1.06
(v)
0.96
Question
15
15.
Express
3
10
as a decimal correct to 3 decimal places
(i)
0.3
(ii)
0.5
(iii)
0.1
(iv)
0.4
(v)
0.2
Question
16
16.
Express
8
3
as a decimal correct to 4 decimal places
(i)
2.8667
(ii)
2.4667
(iii)
2.7667
(iv)
2.5667
(v)
2.6667
Question
17
17.
Express
39
61
as a decimal correct to 1 decimal places
(i)
0.5
(ii)
0.4
(iii)
0.7
(iv)
0.8
(v)
0.6
Question
18
18.
Find the period of the recurring decimal
27.
952380
(i)
7
(ii)
9523800
(iii)
952380
(iv)
6
(v)
95238
Question
19
19.
Find the period of the recurring decimal
21.90476190476190...
(i)
90476
(ii)
6
(iii)
7
(iv)
904761
(v)
9047610
Question
20
20.
Find the periodicity of the recurring decimal
28.
1
(i)
-1
(ii)
0
(iii)
1
(iv)
2
Question
21
21.
Find the periodicity of the recurring decimal
0.33333333333333...
(i)
1
(ii)
0
(iii)
-1
(iv)
2
(v)
3
Question
22
22.
The recurring part of the decimal
30.
592
is
(i)
5925592
(ii)
59253
(iii)
592592
(iv)
30.592
(v)
592
Question
23
23.
The recurring part of the decimal
21.44444444444444...
is
(i)
444
(ii)
21.4
(iii)
442
(iv)
44
(v)
4
Question
24
24.
Convert the non-terminating recurring decimal
19.
5
to rational number
(i)
178
9
(ii)
176
9
(iii)
16
(iv)
176
7
(v)
58
3
Question
25
25.
Convert the non-terminating recurring decimal
0.33333333333333...
to rational number
(i)
1
(ii)
(
-1
3
)
(iii)
1
3
(iv)
1
5
Question
26
26.
Convert the fraction
179
9
to non-terminating recurring decimal
(i)
1988.
8
(ii)
19.
8
(iii)
1.9
8
(iv)
198.
8
(v)
0.19
8
Question
27
27.
Convert the fraction
187
21
to non-terminating recurring decimal
(i)
0.8
904761
(ii)
0.08
904761
(iii)
890.
476190
(iv)
8.
904761
(v)
89.
047619
Question
28
28.
Which of the following fractions converts to a non-terminating recurring decimal?
(i)
197
8
(ii)
189
4
(iii)
2520
32
(iv)
3024
128
(v)
269
18
Question
29
29.
Which of the following fractions converts to a terminating decimal?
(i)
371
288
(ii)
371
171
(iii)
3840
20
(iv)
1
3
(v)
371
18
Question
30
30.
Which of the following is an irrational number?
(i)
(-9)
(ii)
18
22
(iii)
19.6111
(iv)
2
(v)
3
√
66
Question
31
31.
Which of the following is a rational number?
(i)
√
94
(ii)
13
20
(iii)
√
97
(iv)
3
√
39
(v)
√
75
Question
32
32.
Which of the following is a decimal fraction?
(i)
8
10
(ii)
16
7
(iii)
2
7
(iv)
19
8
19
(v)
14
6
7
Question
33
33.
Which of the following is a decimal fraction?
(i)
7
100
(ii)
19
15
(iii)
7
7
11
(iv)
21
1
2
(v)
9
17
Question
34
34.
Which of the following is a decimal fraction?
(i)
11
8
(ii)
2
1000
(iii)
4
5
6
(iv)
4
11
(v)
6
6
7
Question
35
35.
Which of the following is a decimal fraction?
(i)
4
14
(ii)
4
10000
(iii)
18
4
19
(iv)
12
5
(v)
12
13
18
Assignment Key
1) (iii)
2) (v)
3) (iii)
4) (i)
5) (i)
6) (ii)
7) (iii)
8) (iv)
9) (ii)
10) (ii)
11) (v)
12) (i)
13) (i)
14) (i)
15) (i)
16) (v)
17) (v)
18) (iii)
19) (iv)
20) (iii)
21) (i)
22) (v)
23) (v)
24) (ii)
25) (iii)
26) (ii)
27) (iv)
28) (v)
29) (iii)
30) (v)
31) (ii)
32) (i)
33) (i)
34) (ii)
35) (ii)