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
    • 5

      2
    • is
  • (i)
    2

    -5
  • (ii)
    (
    -5

    2
    )
  • (iii)
    2

    5
  • (iv)
    0
  • (v)
    (
    -3
    1

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

      2
      )
    • is
  • (i)
    (
    -1
    2

    5
    )
  • (ii)
    (
    -2
    2

    5
    )
  • (iii)
    1
    3

    5
  • (iv)
    (
    -2

    5
    )
  • (v)
    3

    5
Question 3
3.
    • The additive inverse of
    • (
      -5

      4
      )
    • is
  • (i)
    4

    5
  • (ii)
    1

    4
  • (iii)
    5

    4
  • (iv)
    4

    -5
  • (v)
    0
Question 4
4.
    • The multiplicative inverse of
    • (
      -9

      2
      )
    • is
  • (i)
    7

    9
  • (ii)
    (
    -2

    9
    )
  • (iii)
    1
    7

    9
  • (iv)
    (
    -2
    2

    9
    )
  • (v)
    (
    -1
    2

    9
    )
Question 5
5.
    • The additive inverse of
    • 2

      5
    • is
  • (i)
    5

    2
  • (ii)
    0
  • (iii)
    (
    -1
    2

    5
    )
  • (iv)
    5

    -2
  • (v)
    (
    -2

    5
    )
Question 6
6.
    • The multiplicative inverse of
    • (
      -7

      9
      )
    • is
  • (i)
    (
    -9

    7
    )
  • (ii)
    5

    7
  • (iii)
    (
    -3
    2

    7
    )
  • (iv)
    (
    -2

    7
    )
  • (v)
    (
    -2
    2

    7
    )
Question 7
7.
Which of the following are true?
a)
4

9
41

5
=
41

5
4

9
b)
10

3
115

12
=
115

12
10

3
c)
4

9
+
115

12
=
115

12
+
4

9
d)
10

3
÷
41

5
=
41

5
÷
10

3
  • (i)
    {b,c,a}
  • (ii)
    {d,c}
  • (iii)
    {b,d,a}
  • (iv)
    {a,c}
  • (v)
    {b,a}
Question 8
8.
Which of the following are true?
a)
4

7
(
53

9
1

8
)
=
(
4

7
53

9
)
1

8
b)
4

7
+
(
107

13
+
11

16
)
=
(
4

7
+
107

13
)
+
11

16
c)
2

9
÷
(
53

9
÷
11

10
)
=
(
2

9
÷
53

9
)
÷
11

10
d)
2

9
(
107

13
4

19
)
=
(
2

9
107

13
)
4

19
  • (i)
    {c,d,a}
  • (ii)
    {a,b}
  • (iii)
    {c,b,a}
  • (iv)
    {c,a}
  • (v)
    {d,b}
Question 9
9.
Which of the following are true?
a)
20

3
(
16

3
15

16
)
=
(
20

3
16

3
)
(
20

3
15

16
)
b)
20

3
÷
(
155

19
+
14

17
)
=
(
20

3
÷
155

19
)
+
(
20

3
÷
14

17
)
c)
7

13
(
155

19
+
6

19
)
=
(
7

13
155

19
)
+
(
7

13
6

19
)
d)
7

13
(
16

3
19

18
)
=
(
7

13
16

3
)
(
7

13
19

18
)
  • (i)
    {a,b,c}
  • (ii)
    {b,d}
  • (iii)
    {a,d,c}
  • (iv)
    {a,c}
  • (v)
    {c,d}
Question 10
10.
Which of the following are true?
a)
8

5
÷
17

12
=
17

12
÷
8

5
b)
8

13
+
71

10
=
71

10
+
8

13
c)
8

5
71

10
=
71

10
8

5
d)
8

13
17

12
=
17

12
8

13
  • (i)
    {b,d}
  • (ii)
    {a,b}
  • (iii)
    {c,d}
  • (iv)
    {a,d,b}
  • (v)
    {a,c,b}
Question 11
11.
Which of the following are true?
a)
17

13
÷
(
77

10
÷
1

19
)
=
(
17

13
÷
77

10
)
÷
1

19
b)
17

13
(
25

14
11

7
)
=
(
17

13
25

14
)
11

7
c)
2

9
+
(
25

14
+
15

16
)
=
(
2

9
+
25

14
)
+
15

16
d)
2

9
(
77

10
13

18
)
=
(
2

9
77

10
)
13

18
  • (i)
    {a,d,c}
  • (ii)
    {c,d}
  • (iii)
    {b,d}
  • (iv)
    {a,b,c}
  • (v)
    {a,c}
Question 12
12.
Which of the following are true?
a)
19

8
(
34

11
+
3

2
)
=
(
19

8
34

11
)
+
(
19

8
3

2
)
b)
1

2
÷
(
34

11
+
6

7
)
=
(
1

2
÷
34

11
)
+
(
1

2
÷
6

7
)
c)
19

8
(
46

9
5

3
)
=
(
19

8
46

9
)
(
19

8
5

3
)
d)
1

2
(
46

9
17

16
)
=
(
1

2
46

9
)
(
1

2
17

16
)
  • (i)
    {d,c}
  • (ii)
    {b,c,a}
  • (iii)
    {b,a}
  • (iv)
    {a,c}
  • (v)
    {b,d,a}
Question 13
13.
Which of the following are true?
a)
7

2
÷
15

7
=
15

7
÷
7

2
b)
7

2
79

15
=
79

15
7

2
c)
13

4
+
79

15
=
79

15
+
13

4
d)
13

4
15

7
=
15

7
13

4
  • (i)
    {a,c}
  • (ii)
    {b,d}
  • (iii)
    {a,d,c}
  • (iv)
    {a,b,c}
  • (v)
    {c,d}
Question 14
14.
Which of the following are true?
a)
13

15
÷
(
26

3
÷
13

8
)
=
(
13

15
÷
26

3
)
÷
13

8
b)
14

9
+
(
29

3
+
1

20
)
=
(
14

9
+
29

3
)
+
1

20
c)
14

9
(
26

3
5

18
)
=
(
14

9
26

3
)
5

18
d)
13

15
(
29

3
10

17
)
=
(
13

15
29

3
)
10

17
  • (i)
    {a,b}
  • (ii)
    {a,d,b}
  • (iii)
    {d,c}
  • (iv)
    {b,c}
  • (v)
    {a,c,b}
Question 15
15.
Which of the following are true?
a)
2

11
(
36

7
11

8
)
=
(
2

11
36

7
)
(
2

11
11

8
)
b)
20

19
(
92

11
+
12

17
)
=
(
20

19
92

11
)
+
(
20

19
12

17
)
c)
2

11
÷
(
92

11
+
7

11
)
=
(
2

11
÷
92

11
)
+
(
2

11
÷
7

11
)
d)
20

19
(
36

7
14

11
)
=
(
20

19
36

7
)
(
20

19
14

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

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