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

      9
      )
    • is
  • (i)
    (
    -4

    9
    )
  • (ii)
    9

    -5
  • (iii)
    5

    9
  • (iv)
    0
  • (v)
    9

    5
Question 2
2.
    • The multiplicative inverse of
    • (
      -9

      5
      )
    • is
  • (i)
    (
    -5

    9
    )
  • (ii)
    (
    -2
    5

    9
    )
  • (iii)
    4

    9
  • (iv)
    (
    -1
    5

    9
    )
  • (v)
    1
    4

    9
Question 3
3.
    • The additive inverse of
    • 5

      3
    • is
  • (i)
    0
  • (ii)
    (
    -5

    3
    )
  • (iii)
    (
    -2
    2

    3
    )
  • (iv)
    3

    -5
  • (v)
    3

    5
Question 4
4.
    • The multiplicative inverse of
    • 5

      9
    • is
  • (i)
    (
    -1

    5
    )
  • (ii)
    9

    5
  • (iii)
    3
    4

    5
  • (iv)
    2
    4

    5
  • (v)
    4

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

      2
    • is
  • (i)
    0
  • (ii)
    2

    -9
  • (iii)
    (
    -5
    1

    2
    )
  • (iv)
    2

    9
  • (v)
    (
    -9

    2
    )
Question 6
6.
    • The multiplicative inverse of
    • (
      -7

      9
      )
    • is
  • (i)
    (
    -9

    7
    )
  • (ii)
    (
    -2
    2

    7
    )
  • (iii)
    5

    7
  • (iv)
    (
    -3
    2

    7
    )
  • (v)
    (
    -2

    7
    )
Question 7
7.
Which of the following are true?
a)
15

14
÷
43

5
=
43

5
÷
15

14
b)
15

17
+
69

14
=
69

14
+
15

17
c)
15

14
69

14
=
69

14
15

14
d)
15

17
43

5
=
43

5
15

17
  • (i)
    {c,d}
  • (ii)
    {a,c,b}
  • (iii)
    {b,d}
  • (iv)
    {a,b}
  • (v)
    {a,d,b}
Question 8
8.
Which of the following are true?
a)
8

17
(
31

3
9

19
)
=
(
8

17
31

3
)
9

19
b)
19

4
+
(
31

3
+
19

3
)
=
(
19

4
+
31

3
)
+
19

3
c)
19

4
(
74

11
20

3
)
=
(
19

4
74

11
)
20

3
d)
8

17
÷
(
74

11
÷
15

17
)
=
(
8

17
÷
74

11
)
÷
15

17
  • (i)
    {a,d,b}
  • (ii)
    {a,b}
  • (iii)
    {a,c,b}
  • (iv)
    {d,c}
  • (v)
    {b,c}
Question 9
9.
Which of the following are true?
a)
11

7
(
95

13
8

7
)
=
(
11

7
95

13
)
(
11

7
8

7
)
b)
16

5
(
95

13
15

17
)
=
(
16

5
95

13
)
(
16

5
15

17
)
c)
16

5
(
32

17
+
7

20
)
=
(
16

5
32

17
)
+
(
16

5
7

20
)
d)
11

7
÷
(
32

17
+
12

11
)
=
(
11

7
÷
32

17
)
+
(
11

7
÷
12

11
)
  • (i)
    {a,d,b}
  • (ii)
    {a,c,b}
  • (iii)
    {a,b}
  • (iv)
    {d,c}
  • (v)
    {b,c}
Question 10
10.
Which of the following are true?
a)
11

9
47

5
=
47

5
11

9
b)
16

13
+
47

5
=
47

5
+
16

13
c)
16

13
33

7
=
33

7
16

13
d)
11

9
÷
33

7
=
33

7
÷
11

9
  • (i)
    {d,c}
  • (ii)
    {a,d,b}
  • (iii)
    {a,b}
  • (iv)
    {a,c,b}
  • (v)
    {b,c}
Question 11
11.
Which of the following are true?
a)
17

18
(
97

13
16

15
)
=
(
17

18
97

13
)
16

15
b)
5

8
+
(
97

13
+
17

15
)
=
(
5

8
+
97

13
)
+
17

15
c)
5

8
(
37

10
9

19
)
=
(
5

8
37

10
)
9

19
d)
17

18
÷
(
37

10
÷
4

9
)
=
(
17

18
÷
37

10
)
÷
4

9
  • (i)
    {a,b}
  • (ii)
    {a,c,b}
  • (iii)
    {b,c}
  • (iv)
    {d,c}
  • (v)
    {a,d,b}
Question 12
12.
Which of the following are true?
a)
9

19
(
16

5
11

7
)
=
(
9

19
16

5
)
(
9

19
11

7
)
b)
14

19
(
16

5
11

3
)
=
(
14

19
16

5
)
(
14

19
11

3
)
c)
14

19
÷
(
21

4
+
9

7
)
=
(
14

19
÷
21

4
)
+
(
14

19
÷
9

7
)
d)
9

19
(
21

4
+
13

18
)
=
(
9

19
21

4
)
+
(
9

19
13

18
)
  • (i)
    {b,a}
  • (ii)
    {c,d}
  • (iii)
    {b,c,a}
  • (iv)
    {a,d}
  • (v)
    {b,d,a}
Question 13
13.
Which of the following are true?
a)
3

11
+
47

6
=
47

6
+
3

11
b)
13

15
47

6
=
47

6
13

15
c)
13

15
÷
100

11
=
100

11
÷
13

15
d)
3

11
100

11
=
100

11
3

11
  • (i)
    {c,d}
  • (ii)
    {b,a}
  • (iii)
    {b,d,a}
  • (iv)
    {a,d}
  • (v)
    {b,c,a}
Question 14
14.
Which of the following are true?
a)
10

19
(
67

10
4

9
)
=
(
10

19
67

10
)
4

9
b)
4

11
+
(
67

10
+
13

7
)
=
(
4

11
+
67

10
)
+
13

7
c)
4

11
(
83

12
19

6
)
=
(
4

11
83

12
)
19

6
d)
10

19
÷
(
83

12
÷
6

19
)
=
(
10

19
÷
83

12
)
÷
6

19
  • (i)
    {d,c}
  • (ii)
    {a,c,b}
  • (iii)
    {b,c}
  • (iv)
    {a,d,b}
  • (v)
    {a,b}
Question 15
15.
Which of the following are true?
a)
9

20
÷
(
29

10
+
2

17
)
=
(
9

20
÷
29

10
)
+
(
9

20
÷
2

17
)
b)
5

16
(
29

10
+
16

9
)
=
(
5

16
29

10
)
+
(
5

16
16

9
)
c)
5

16
(
43

7
8

15
)
=
(
5

16
43

7
)
(
5

16
8

15
)
d)
9

20
(
43

7
7

12
)
=
(
9

20
43

7
)
(
9

20
7

12
)
  • (i)
    {d,c}
  • (ii)
    {a,c,b}
  • (iii)
    {a,d,b}
  • (iv)
    {b,c}
  • (v)
    {a,b}
    Assignment Key

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