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)