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
    • 3

      8
    • is
  • (i)
    8

    3
  • (ii)
    0
  • (iii)
    (
    -3

    8
    )
  • (iv)
    8

    -3
  • (v)
    (
    -1
    3

    8
    )
Question 2
2.
    • The multiplicative inverse of
    • 5

      3
    • is
  • (i)
    1
    3

    5
  • (ii)
    2
    3

    5
  • (iii)
    3

    5
  • (iv)
    (
    -2

    5
    )
  • (v)
    (
    -1
    2

    5
    )
Question 3
3.
    • The additive inverse of
    • (
      -7

      5
      )
    • is
  • (i)
    5

    7
  • (ii)
    5

    -7
  • (iii)
    7

    5
  • (iv)
    2

    5
  • (v)
    0
Question 4
4.
    • The multiplicative inverse of
    • (
      -3

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

    3
    )
  • (ii)
    (
    -1
    2

    3
    )
  • (iii)
    1

    3
  • (iv)
    1
    1

    3
  • (v)
    (
    -2

    3
    )
Question 5
5.
    • The additive inverse of
    • 4

      3
    • is
  • (i)
    (
    -2
    1

    3
    )
  • (ii)
    0
  • (iii)
    3

    -4
  • (iv)
    3

    4
  • (v)
    (
    -4

    3
    )
Question 6
6.
    • The multiplicative inverse of
    • (
      -2

      5
      )
    • is
  • (i)
    (
    -1

    2
    )
  • (ii)
    (
    -1
    1

    2
    )
  • (iii)
    (
    -5

    2
    )
  • (iv)
    (
    -4
    1

    2
    )
  • (v)
    (
    -3
    1

    2
    )
Question 7
7.
Which of the following are true?
a)
16

7
+
47

9
=
47

9
+
16

7
b)
12

7
÷
69

17
=
69

17
÷
12

7
c)
12

7
47

9
=
47

9
12

7
d)
16

7
69

17
=
69

17
16

7
  • (i)
    {b,d,a}
  • (ii)
    {c,d}
  • (iii)
    {b,c,a}
  • (iv)
    {b,a}
  • (v)
    {a,d}
Question 8
8.
Which of the following are true?
a)
11

6
(
23

7
16

3
)
=
(
11

6
23

7
)
16

3
b)
11

6
÷
(
103

20
÷
2

9
)
=
(
11

6
÷
103

20
)
÷
2

9
c)
9

16
(
103

20
17

7
)
=
(
9

16
103

20
)
17

7
d)
9

16
+
(
23

7
+
10

7
)
=
(
9

16
+
23

7
)
+
10

7
  • (i)
    {a,d,c}
  • (ii)
    {b,d}
  • (iii)
    {c,d}
  • (iv)
    {a,b,c}
  • (v)
    {a,c}
Question 9
9.
Which of the following are true?
a)
18

7
(
122

15
+
5

19
)
=
(
18

7
122

15
)
+
(
18

7
5

19
)
b)
18

7
(
37

6
17

5
)
=
(
18

7
37

6
)
(
18

7
17

5
)
c)
19

16
(
37

6
19

15
)
=
(
19

16
37

6
)
(
19

16
19

15
)
d)
19

16
÷
(
122

15
+
4

3
)
=
(
19

16
÷
122

15
)
+
(
19

16
÷
4

3
)
  • (i)
    {c,b,a}
  • (ii)
    {a,b}
  • (iii)
    {c,d,a}
  • (iv)
    {d,b}
  • (v)
    {c,a}
Question 10
10.
Which of the following are true?
a)
5

11
81

16
=
81

16
5

11
b)
8

7
118

11
=
118

11
8

7
c)
5

11
+
118

11
=
118

11
+
5

11
d)
8

7
÷
81

16
=
81

16
÷
8

7
  • (i)
    {a,c}
  • (ii)
    {b,d,a}
  • (iii)
    {d,c}
  • (iv)
    {b,a}
  • (v)
    {b,c,a}
Question 11
11.
Which of the following are true?
a)
5

19
÷
(
38

17
÷
9

5
)
=
(
5

19
÷
38

17
)
÷
9

5
b)
2

11
+
(
55

9
+
16

15
)
=
(
2

11
+
55

9
)
+
16

15
c)
5

19
(
55

9
2

17
)
=
(
5

19
55

9
)
2

17
d)
2

11
(
38

17
16

17
)
=
(
2

11
38

17
)
16

17
  • (i)
    {a,d,b}
  • (ii)
    {c,d}
  • (iii)
    {a,b}
  • (iv)
    {a,c,b}
  • (v)
    {b,d}
Question 12
12.
Which of the following are true?
a)
7

3
(
41

7
14

5
)
=
(
7

3
41

7
)
(
7

3
14

5
)
b)
7

3
(
53

8
+
7

17
)
=
(
7

3
53

8
)
+
(
7

3
7

17
)
c)
15

4
÷
(
53

8
+
4

11
)
=
(
15

4
÷
53

8
)
+
(
15

4
÷
4

11
)
d)
15

4
(
41

7
9

17
)
=
(
15

4
41

7
)
(
15

4
9

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

16
÷
34

5
=
34

5
÷
13

16
b)
13

16
25

2
=
25

2
13

16
c)
1

19
34

5
=
34

5
1

19
d)
1

19
+
25

2
=
25

2
+
1

19
  • (i)
    {c,d}
  • (ii)
    {a,b,c}
  • (iii)
    {b,d}
  • (iv)
    {a,d,c}
  • (v)
    {a,c}
Question 14
14.
Which of the following are true?
a)
18

7
+
(
126

13
+
8

3
)
=
(
18

7
+
126

13
)
+
8

3
b)
18

7
(
25

8
10

7
)
=
(
18

7
25

8
)
10

7
c)
6

13
(
126

13
13

5
)
=
(
6

13
126

13
)
13

5
d)
6

13
÷
(
25

8
÷
19

8
)
=
(
6

13
÷
25

8
)
÷
19

8
  • (i)
    {c,b,a}
  • (ii)
    {d,b}
  • (iii)
    {c,a}
  • (iv)
    {a,b}
  • (v)
    {c,d,a}
Question 15
15.
Which of the following are true?
a)
8

7
(
27

4
+
13

18
)
=
(
8

7
27

4
)
+
(
8

7
13

18
)
b)
8

7
(
41

9
8

5
)
=
(
8

7
41

9
)
(
8

7
8

5
)
c)
5

9
÷
(
27

4
+
9

20
)
=
(
5

9
÷
27

4
)
+
(
5

9
÷
9

20
)
d)
5

9
(
41

9
10

19
)
=
(
5

9
41

9
)
(
5

9
10

19
)
  • (i)
    {a,b}
  • (ii)
    {c,a}
  • (iii)
    {c,b,a}
  • (iv)
    {c,d,a}
  • (v)
    {d,b}
    Assignment Key

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