EduSahara™ Assignment
Name : Rational Number Properties
Chapter : Rational and Irrational Numbers
Grade : ICSE Grade IX
License : Non Commercial Use
Question 1
1.
    • The additive inverse of
    • 4

      5
    • is
  • (i)
    5

    4
  • (ii)
    5

    -4
  • (iii)
    (
    -4

    5
    )
  • (iv)
    0
  • (v)
    (
    -1
    4

    5
    )
Question 2
2.
    • The multiplicative inverse of
    • (
      -4

      3
      )
    • is
  • (i)
    (
    -2
    3

    4
    )
  • (ii)
    (
    -1
    3

    4
    )
  • (iii)
    1

    4
  • (iv)
    1
    1

    4
  • (v)
    (
    -3

    4
    )
Question 3
3.
    • The additive inverse of
    • 1

      4
    • is
  • (i)
    0
  • (ii)
    (
    -1
    1

    4
    )
  • (iii)
    4

    1
  • (iv)
    (
    -1

    4
    )
  • (v)
    4

    -1
Question 4
4.
    • The multiplicative inverse of
    • 2

      7
    • is
  • (i)
    4
    1

    2
  • (ii)
    7

    2
  • (iii)
    5
    1

    2
  • (iv)
    1
    1

    2
  • (v)
    2
    1

    2
Question 5
5.
    • The additive inverse of
    • (
      -6

      5
      )
    • is
  • (i)
    5

    -6
  • (ii)
    6

    5
  • (iii)
    0
  • (iv)
    5

    6
  • (v)
    1

    5
Question 6
6.
    • The multiplicative inverse of
    • 5

      7
    • is
  • (i)
    2

    5
  • (ii)
    (
    -3

    5
    )
  • (iii)
    7

    5
  • (iv)
    3
    2

    5
  • (v)
    2
    2

    5
Question 7
7.
Which of the following are true?
a)
17

2
÷
146

19
=
146

19
÷
17

2
b)
3

7
146

19
=
146

19
3

7
c)
3

7
+
31

15
=
31

15
+
3

7
d)
17

2
31

15
=
31

15
17

2
  • (i)
    {a,d,b}
  • (ii)
    {b,c}
  • (iii)
    {a,c,b}
  • (iv)
    {a,b}
  • (v)
    {d,c}
Question 8
8.
Which of the following are true?
a)
14

3
+
(
16

3
+
10

11
)
=
(
14

3
+
16

3
)
+
10

11
b)
14

3
(
23

15
4

7
)
=
(
14

3
23

15
)
4

7
c)
10

19
÷
(
23

15
÷
8

17
)
=
(
10

19
÷
23

15
)
÷
8

17
d)
10

19
(
16

3
2

5
)
=
(
10

19
16

3
)
2

5
  • (i)
    {a,b}
  • (ii)
    {d,b}
  • (iii)
    {c,b,a}
  • (iv)
    {c,a}
  • (v)
    {c,d,a}
Question 9
9.
Which of the following are true?
a)
19

6
(
17

5
+
1

13
)
=
(
19

6
17

5
)
+
(
19

6
1

13
)
b)
18

11
÷
(
17

5
+
20

9
)
=
(
18

11
÷
17

5
)
+
(
18

11
÷
20

9
)
c)
19

6
(
108

13
16

17
)
=
(
19

6
108

13
)
(
19

6
16

17
)
d)
18

11
(
108

13
8

19
)
=
(
18

11
108

13
)
(
18

11
8

19
)
  • (i)
    {b,d,a}
  • (ii)
    {b,a}
  • (iii)
    {b,c,a}
  • (iv)
    {a,c}
  • (v)
    {d,c}
Question 10
10.
Which of the following are true?
a)
2

11
8

3
=
8

3
2

11
b)
7

13
+
8

3
=
8

3
+
7

13
c)
2

11
÷
98

19
=
98

19
÷
2

11
d)
7

13
98

19
=
98

19
7

13
  • (i)
    {c,d}
  • (ii)
    {a,b}
  • (iii)
    {b,d}
  • (iv)
    {a,c,b}
  • (v)
    {a,d,b}
Question 11
11.
Which of the following are true?
a)
8

11
(
131

15
4

13
)
=
(
8

11
131

15
)
4

13
b)
8

11
+
(
17

3
+
14

3
)
=
(
8

11
+
17

3
)
+
14

3
c)
17

9
(
17

3
20

17
)
=
(
17

9
17

3
)
20

17
d)
17

9
÷
(
131

15
÷
3

13
)
=
(
17

9
÷
131

15
)
÷
3

13
  • (i)
    {c,a}
  • (ii)
    {a,b}
  • (iii)
    {d,b}
  • (iv)
    {c,d,a}
  • (v)
    {c,b,a}
Question 12
12.
Which of the following are true?
a)
11

5
(
72

17
5

4
)
=
(
11

5
72

17
)
(
11

5
5

4
)
b)
14

3
(
72

17
19

8
)
=
(
14

3
72

17
)
(
14

3
19

8
)
c)
14

3
÷
(
41

12
+
7

18
)
=
(
14

3
÷
41

12
)
+
(
14

3
÷
7

18
)
d)
11

5
(
41

12
+
9

4
)
=
(
11

5
41

12
)
+
(
11

5
9

4
)
  • (i)
    {b,d,a}
  • (ii)
    {b,c,a}
  • (iii)
    {c,d}
  • (iv)
    {a,d}
  • (v)
    {b,a}
Question 13
13.
Which of the following are true?
a)
7

10
÷
23

5
=
23

5
÷
7

10
b)
7

10
49

16
=
49

16
7

10
c)
9

14
+
49

16
=
49

16
+
9

14
d)
9

14
23

5
=
23

5
9

14
  • (i)
    {c,d}
  • (ii)
    {a,c}
  • (iii)
    {a,b,c}
  • (iv)
    {b,d}
  • (v)
    {a,d,c}
Question 14
14.
Which of the following are true?
a)
15

19
+
(
97

9
+
6

11
)
=
(
15

19
+
97

9
)
+
6

11
b)
15

19
(
83

17
19

16
)
=
(
15

19
83

17
)
19

16
c)
11

17
÷
(
83

17
÷
5

16
)
=
(
11

17
÷
83

17
)
÷
5

16
d)
11

17
(
97

9
5

16
)
=
(
11

17
97

9
)
5

16
  • (i)
    {a,b}
  • (ii)
    {c,d,a}
  • (iii)
    {c,b,a}
  • (iv)
    {c,a}
  • (v)
    {d,b}
Question 15
15.
Which of the following are true?
a)
13

4
(
41

10
13

6
)
=
(
13

4
41

10
)
(
13

4
13

6
)
b)
2

5
(
41

10
20

3
)
=
(
2

5
41

10
)
(
2

5
20

3
)
c)
13

4
(
137

18
+
5

12
)
=
(
13

4
137

18
)
+
(
13

4
5

12
)
d)
2

5
÷
(
137

18
+
8

11
)
=
(
2

5
÷
137

18
)
+
(
2

5
÷
8

11
)
  • (i)
    {b,c,a}
  • (ii)
    {a,c}
  • (iii)
    {d,c}
  • (iv)
    {b,d,a}
  • (v)
    {b,a}
    Assignment Key

  •  1) (iii)
  •  2) (v)
  •  3) (iv)
  •  4) (ii)
  •  5) (ii)
  •  6) (iii)
  •  7) (ii)
  •  8) (i)
  •  9) (iv)
  •  10) (iii)
  •  11) (ii)
  •  12) (iv)
  •  13) (i)
  •  14) (i)
  •  15) (ii)