EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Rational Numbers
Grade : CBSE Grade VIII
License : Non Commercial Use
Question
1
1.
The decimal number 18.2 lies between
(i)
{20,21}
(ii)
{16,17}
(iii)
{17,18}
(iv)
{19,20}
(v)
{18,19}
Question
2
2.
Which of the following are true?
a)
2
−
(
8
−
12
)
=
(
2
−
8
)
−
12
b)
12
✕
(
16
✕
2
)
=
(
12
✕
16
)
✕
2
c)
8
÷
(
12
÷
16
)
=
(
8
÷
12
)
÷
16
d)
16
+
(
2
+
8
)
=
(
16
+
2
)
+
8
(i)
{c,d}
(ii)
{a,c,b}
(iii)
{a,d,b}
(iv)
{b,d}
(v)
{a,b}
Question
3
3.
Which of the following are true?
a)
17
✕
(
18
−
19
)
=
(
17
✕
18
)
−
(
17
✕
19
)
b)
19
÷
(
9
+
17
)
=
(
19
÷
9
)
+
(
19
÷
17
)
c)
9
✕
(
17
+
18
)
=
(
9
✕
17
)
+
(
9
✕
18
)
d)
18
−
(
19
✕
9
)
=
(
18
−
19
)
✕
(
18
−
9
)
(i)
{b,d,a}
(ii)
{b,c,a}
(iii)
{a,c}
(iv)
{d,c}
(v)
{b,a}
Question
4
4.
Which of the following are true?
a)
19
10
✕
(
71
17
+
20
19
)
=
(
19
10
✕
71
17
)
+
(
19
10
✕
20
19
)
b)
9
2
÷
(
71
17
+
8
3
)
=
(
9
2
÷
71
17
)
+
(
9
2
÷
8
3
)
c)
19
10
✕
(
38
11
−
11
5
)
=
(
19
10
✕
38
11
)
−
(
19
10
✕
11
5
)
d)
9
2
−
(
38
11
✕
13
7
)
=
(
9
2
−
38
11
)
✕
(
9
2
−
13
7
)
(i)
{b,d,a}
(ii)
{a,c}
(iii)
{d,c}
(iv)
{b,c,a}
(v)
{b,a}
Question
5
5.
Find the rational number at the point labelled with letter Q
(i)
(
-55
8
)
(ii)
(
-19
2
)
(iii)
(
-57
8
)
(iv)
(
-57
10
)
(v)
(
-59
8
)
Question
6
6.
Which of the following are true?
a)
rational numbers are closed under addition
b)
rational numbers are closed under multiplication
c)
rational numbers are closed under division
d)
rational numbers are closed under subtraction
(i)
{c,a}
(ii)
{c,d}
(iii)
{a,b,d}
(iv)
{c,b}
(v)
{c,a,b}
Question
7
7.
Which of the following is true?
(i)
12
16
✕
5
7
=
1
1
20
(ii)
13
17
÷
6
8
=
39
68
(iii)
14
17
÷
2
15
=
28
255
(iv)
8
11
+
1
6
=
37
66
(v)
16
18
+
11
19
=
251
171
Question
8
8.
Which of the following are true?
a)
2
5
−
(
121
20
−
14
5
)
=
(
2
5
−
121
20
)
−
14
5
b)
9
13
+
(
121
20
+
1
2
)
=
(
9
13
+
121
20
)
+
1
2
c)
2
5
÷
(
21
2
÷
12
19
)
=
(
2
5
÷
21
2
)
÷
12
19
d)
9
13
✕
(
21
2
✕
16
13
)
=
(
9
13
✕
21
2
)
✕
16
13
(i)
{c,d}
(ii)
{a,b}
(iii)
{a,d,b}
(iv)
{a,c,b}
(v)
{b,d}
Question
9
9.
Find the rational number at the point labelled with letter S
(i)
7
(ii)
47
7
(iii)
47
5
(iv)
47
9
(v)
45
7
Question
10
10.
Which of the following is true?
(i)
16
7
<
23
11
(ii)
17
6
<
29
26
(iii)
25
11
<
35
34
(iv)
31
11
>
33
29
(v)
29
13
<
20
13
Question
11
11.
Which of the following is true?
a)
2.2300
✕
(
3.0900
−
5.4200
)
=
(
2.2300
✕
3.0900
)
−
(
2.2300
✕
5.4200
)
b)
18.9700
✕
(
2.2300
+
3.0900
)
=
(
18.9700
✕
2.2300
)
+
(
18.9700
✕
3.0900
)
c)
3.0900
−
(
5.4200
✕
18.9700
)
=
(
3.0900
−
5.4200
)
✕
(
3.0900
−
18.9700
)
d)
5.4200
÷
(
18.9700
+
2.2300
)
=
(
5.4200
÷
18.9700
)
+
(
5.4200
÷
2.2300
)
(i)
{d,b}
(ii)
{c,b,a}
(iii)
{a,b}
(iv)
{c,a}
(v)
{c,d,a}
Question
12
12.
The additive inverse of
8
7
is
(i)
7
8
(ii)
(
-8
7
)
(iii)
0
(iv)
7
-8
(v)
(
-2
1
7
)
Question
13
13.
Which of the following decimal numbers lie between
9767.91
and
9767.92
?
(i)
97679.189
(ii)
9767.919
(iii)
976.792
(iv)
9767.923
(v)
9767.903
Question
14
14.
16
÷
1
3
= ______
(i)
47
(ii)
48
(iii)
51
(iv)
45
(v)
49
Question
15
15.
Which of the following is true?
(i)
38
11
+
23
17
=
2
19
187
(ii)
15
4
✕
13
10
=
2
23
26
(iii)
39
17
−
12
11
=
3
72
187
(iv)
19
3
−
13
8
=
7
23
24
(v)
33
16
✕
4
3
=
2
3
4
Question
16
16.
Find the missing value in
8
10
−
______ =
7
15
(i)
(
-1
3
)
(ii)
1
(iii)
1
5
(iv)
1
3
Question
17
17.
Find the product of the decimal numbers at the points labelled with letters C and D
(i)
14.14
(ii)
14.54
(iii)
13.84
(iv)
14.44
(v)
14.04
Question
18
18.
Which of the following are true?
a)
8
3
÷
89
10
=
89
10
÷
8
3
b)
8
3
−
46
15
=
46
15
−
8
3
c)
14
17
✕
89
10
=
89
10
✕
14
17
d)
14
17
+
46
15
=
46
15
+
14
17
(i)
{a,b,c}
(ii)
{a,d,c}
(iii)
{c,d}
(iv)
{b,d}
(v)
{a,c}
Question
19
19.
2
+
17
13
= ______
(i)
41
13
(ii)
43
13
(iii)
43
15
(iv)
45
13
(v)
43
11
Question
20
20.
The decimal number 466.553 lies between
(i)
{465,466}
(ii)
{464,465}
(iii)
{466,467}
(iv)
{467,468}
(v)
{468,469}
Question
21
21.
Find the difference between the values of numbers at point A and B
(i)
7
12
(ii)
5
12
(iii)
1
4
(iv)
1
2
(v)
5
14
Question
22
22.
14
1
2
−
14
= ______
(i)
1
4
(ii)
1
(iii)
1
2
(iv)
(
-1
2
)
(v)
3
2
Question
23
23.
Which of the following are true?
a)
real numbers are closed under division
b)
real numbers are closed under addition
c)
real numbers are closed under subtraction
d)
real numbers are closed under multiplication
(i)
{a,b}
(ii)
{a,d}
(iii)
{a,b,c}
(iv)
{b,c,d}
(v)
{a,c}
Question
24
24.
The multiplicative inverse of
9
5
is
(i)
1
5
9
(ii)
5
9
(iii)
(
-1
4
9
)
(iv)
2
5
9
(v)
(
-4
9
)
Question
25
25.
Find the sum of the rational numbers at the points labelled with letters E and F
(i)
18
5
(ii)
4
(iii)
16
5
(iv)
24
7
Assignment Key
1) (v)
2) (iv)
3) (iii)
4) (ii)
5) (iii)
6) (iii)
7) (v)
8) (v)
9) (ii)
10) (iv)
11) (iii)
12) (ii)
13) (ii)
14) (ii)
15) (v)
16) (iv)
17) (v)
18) (iii)
19) (ii)
20) (iii)
21) (ii)
22) (iii)
23) (iv)
24) (ii)
25) (i)