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
    • 2

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

    2
  • (iii)
    5

    -2
  • (iv)
    (
    -2

    5
    )
  • (v)
    (
    -1
    2

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

      9
    • is
  • (i)
    2
    1

    8
  • (ii)
    1

    8
  • (iii)
    9

    8
  • (iv)
    (
    -7

    8
    )
  • (v)
    3
    1

    8
Question 3
3.
    • The additive inverse of
    • (
      -2

      3
      )
    • is
  • (i)
    (
    -1

    3
    )
  • (ii)
    3

    2
  • (iii)
    0
  • (iv)
    2

    3
  • (v)
    3

    -2
Question 4
4.
    • The multiplicative inverse of
    • (
      -6

      5
      )
    • is
  • (i)
    1

    6
  • (ii)
    (
    -2
    5

    6
    )
  • (iii)
    (
    -5

    6
    )
  • (iv)
    (
    -1
    5

    6
    )
  • (v)
    1
    1

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

      8
    • is
  • (i)
    8

    5
  • (ii)
    (
    -1
    5

    8
    )
  • (iii)
    (
    -5

    8
    )
  • (iv)
    0
  • (v)
    8

    -5
Question 6
6.
    • The multiplicative inverse of
    • 8

      7
    • is
  • (i)
    1
    7

    8
  • (ii)
    (
    -1

    8
    )
  • (iii)
    7

    8
  • (iv)
    (
    -1
    1

    8
    )
  • (v)
    2
    7

    8
Question 7
7.
Which of the following are true?
a)
16

3
+
31

3
=
31

3
+
16

3
b)
7

18
31

3
=
31

3
7

18
c)
7

18
÷
46

15
=
46

15
÷
7

18
d)
16

3
46

15
=
46

15
16

3
  • (i)
    {b,c,a}
  • (ii)
    {b,a}
  • (iii)
    {b,d,a}
  • (iv)
    {a,d}
  • (v)
    {c,d}
Question 8
8.
Which of the following are true?
a)
13

2
(
103

10
9

2
)
=
(
13

2
103

10
)
9

2
b)
13

18
÷
(
103

10
÷
1

7
)
=
(
13

18
÷
103

10
)
÷
1

7
c)
13

2
+
(
20

3
+
19

7
)
=
(
13

2
+
20

3
)
+
19

7
d)
13

18
(
20

3
16

15
)
=
(
13

18
20

3
)
16

15
  • (i)
    {b,a}
  • (ii)
    {b,c,a}
  • (iii)
    {d,c}
  • (iv)
    {b,d,a}
  • (v)
    {a,c}
Question 9
9.
Which of the following are true?
a)
5

16
(
49

6
9

8
)
=
(
5

16
49

6
)
(
5

16
9

8
)
b)
19

12
(
49

6
15

11
)
=
(
19

12
49

6
)
(
19

12
15

11
)
c)
5

16
(
67

12
+
19

14
)
=
(
5

16
67

12
)
+
(
5

16
19

14
)
d)
19

12
÷
(
67

12
+
4

5
)
=
(
19

12
÷
67

12
)
+
(
19

12
÷
4

5
)
  • (i)
    {a,c}
  • (ii)
    {b,d,a}
  • (iii)
    {d,c}
  • (iv)
    {b,c,a}
  • (v)
    {b,a}
Question 10
10.
Which of the following are true?
a)
20

3
+
109

17
=
109

17
+
20

3
b)
20

3
43

7
=
43

7
20

3
c)
6

5
109

17
=
109

17
6

5
d)
6

5
÷
43

7
=
43

7
÷
6

5
  • (i)
    {c,d,a}
  • (ii)
    {a,b}
  • (iii)
    {c,a}
  • (iv)
    {c,b,a}
  • (v)
    {d,b}
Question 11
11.
Which of the following are true?
a)
9

5
(
66

17
3

19
)
=
(
9

5
66

17
)
3

19
b)
9

5
+
(
54

5
+
7

4
)
=
(
9

5
+
54

5
)
+
7

4
c)
15

8
(
54

5
19

6
)
=
(
15

8
54

5
)
19

6
d)
15

8
÷
(
66

17
÷
3

16
)
=
(
15

8
÷
66

17
)
÷
3

16
  • (i)
    {c,b,a}
  • (ii)
    {c,a}
  • (iii)
    {d,b}
  • (iv)
    {c,d,a}
  • (v)
    {a,b}
Question 12
12.
Which of the following are true?
a)
17

7
(
13

11
+
5

2
)
=
(
17

7
13

11
)
+
(
17

7
5

2
)
b)
11

18
(
29

11
10

17
)
=
(
11

18
29

11
)
(
11

18
10

17
)
c)
11

18
÷
(
13

11
+
16

7
)
=
(
11

18
÷
13

11
)
+
(
11

18
÷
16

7
)
d)
17

7
(
29

11
19

14
)
=
(
17

7
29

11
)
(
17

7
19

14
)
  • (i)
    {b,d,a}
  • (ii)
    {a,d}
  • (iii)
    {c,d}
  • (iv)
    {b,a}
  • (v)
    {b,c,a}
Question 13
13.
Which of the following are true?
a)
19

11
35

19
=
35

19
19

11
b)
19

11
÷
101

11
=
101

11
÷
19

11
c)
11

6
101

11
=
101

11
11

6
d)
11

6
+
35

19
=
35

19
+
11

6
  • (i)
    {a,c}
  • (ii)
    {a,b,c}
  • (iii)
    {a,d,c}
  • (iv)
    {c,d}
  • (v)
    {b,d}
Question 14
14.
Which of the following are true?
a)
17

11
+
(
58

7
+
17

9
)
=
(
17

11
+
58

7
)
+
17

9
b)
9

17
÷
(
137

14
÷
11

4
)
=
(
9

17
÷
137

14
)
÷
11

4
c)
17

11
(
137

14
4

19
)
=
(
17

11
137

14
)
4

19
d)
9

17
(
58

7
10

7
)
=
(
9

17
58

7
)
10

7
  • (i)
    {a,c}
  • (ii)
    {b,a}
  • (iii)
    {b,d,a}
  • (iv)
    {b,c,a}
  • (v)
    {d,c}
Question 15
15.
Which of the following are true?
a)
8

5
(
21

4
3

7
)
=
(
8

5
21

4
)
(
8

5
3

7
)
b)
5

17
(
21

4
4

5
)
=
(
5

17
21

4
)
(
5

17
4

5
)
c)
5

17
(
39

10
+
9

2
)
=
(
5

17
39

10
)
+
(
5

17
9

2
)
d)
8

5
÷
(
39

10
+
3

20
)
=
(
8

5
÷
39

10
)
+
(
8

5
÷
3

20
)
  • (i)
    {a,b}
  • (ii)
    {b,c}
  • (iii)
    {a,c,b}
  • (iv)
    {d,c}
  • (v)
    {a,d,b}
    Assignment Key

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