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
    • 1

      6
    • is
  • (i)
    (
    -1

    6
    )
  • (ii)
    6

    -1
  • (iii)
    0
  • (iv)
    (
    -1
    1

    6
    )
  • (v)
    6

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

      3
      )
    • is
  • (i)
    -5
  • (ii)
    -2
  • (iii)
    -1
  • (iv)
    -4
  • (v)
    -3

    1
Question 3
3.
    • The additive inverse of
    • (
      -1

      9
      )
    • is
  • (i)
    9

    -1
  • (ii)
    0
  • (iii)
    9

    1
  • (iv)
    (
    -8

    9
    )
  • (v)
    1

    9
Question 4
4.
    • The multiplicative inverse of
    • 3

      7
    • is
  • (i)
    3
    1

    3
  • (ii)
    7

    3
  • (iii)
    1

    3
  • (iv)
    4
    1

    3
  • (v)
    1
    1

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

      2
    • is
  • (i)
    (
    -9

    2
    )
  • (ii)
    2

    9
  • (iii)
    (
    -5
    1

    2
    )
  • (iv)
    2

    -9
  • (v)
    0
Question 6
6.
    • The multiplicative inverse of
    • 5

      8
    • is
  • (i)
    8

    5
  • (ii)
    3

    5
  • (iii)
    (
    -2

    5
    )
  • (iv)
    3
    3

    5
  • (v)
    2
    3

    5
Question 7
7.
Which of the following are true?
a)
4

17
154

19
=
154

19
4

17
b)
4

17
+
92

13
=
92

13
+
4

17
c)
7

16
92

13
=
92

13
7

16
d)
7

16
÷
154

19
=
154

19
÷
7

16
  • (i)
    {c,d,a}
  • (ii)
    {d,b}
  • (iii)
    {a,b}
  • (iv)
    {c,b,a}
  • (v)
    {c,a}
Question 8
8.
Which of the following are true?
a)
8

11
+
(
70

17
+
11

9
)
=
(
8

11
+
70

17
)
+
11

9
b)
8

11
(
65

9
11

6
)
=
(
8

11
65

9
)
11

6
c)
8

7
÷
(
65

9
÷
17

5
)
=
(
8

7
÷
65

9
)
÷
17

5
d)
8

7
(
70

17
11

7
)
=
(
8

7
70

17
)
11

7
  • (i)
    {d,b}
  • (ii)
    {c,b,a}
  • (iii)
    {a,b}
  • (iv)
    {c,a}
  • (v)
    {c,d,a}
Question 9
9.
Which of the following are true?
a)
5

8
(
24

5
13

7
)
=
(
5

8
24

5
)
(
5

8
13

7
)
b)
3

16
÷
(
145

16
+
1

19
)
=
(
3

16
÷
145

16
)
+
(
3

16
÷
1

19
)
c)
5

8
(
145

16
+
16

15
)
=
(
5

8
145

16
)
+
(
5

8
16

15
)
d)
3

16
(
24

5
14

17
)
=
(
3

16
24

5
)
(
3

16
14

17
)
  • (i)
    {b,a}
  • (ii)
    {a,c}
  • (iii)
    {b,d,a}
  • (iv)
    {d,c}
  • (v)
    {b,c,a}
Question 10
10.
Which of the following are true?
a)
5

18
÷
71

15
=
71

15
÷
5

18
b)
5

18
179

18
=
179

18
5

18
c)
7

15
71

15
=
71

15
7

15
d)
7

15
+
179

18
=
179

18
+
7

15
  • (i)
    {a,d,c}
  • (ii)
    {c,d}
  • (iii)
    {a,c}
  • (iv)
    {b,d}
  • (v)
    {a,b,c}
Question 11
11.
Which of the following are true?
a)
3

4
(
79

12
4

9
)
=
(
3

4
79

12
)
4

9
b)
14

13
(
59

5
19

12
)
=
(
14

13
59

5
)
19

12
c)
3

4
+
(
59

5
+
17

20
)
=
(
3

4
+
59

5
)
+
17

20
d)
14

13
÷
(
79

12
÷
11

4
)
=
(
14

13
÷
79

12
)
÷
11

4
  • (i)
    {d,c}
  • (ii)
    {b,a}
  • (iii)
    {b,c,a}
  • (iv)
    {b,d,a}
  • (v)
    {a,c}
Question 12
12.
Which of the following are true?
a)
12

17
(
37

5
+
9

2
)
=
(
12

17
37

5
)
+
(
12

17
9

2
)
b)
19

14
(
28

17
3

10
)
=
(
19

14
28

17
)
(
19

14
3

10
)
c)
19

14
÷
(
37

5
+
13

7
)
=
(
19

14
÷
37

5
)
+
(
19

14
÷
13

7
)
d)
12

17
(
28

17
14

11
)
=
(
12

17
28

17
)
(
12

17
14

11
)
  • (i)
    {b,c,a}
  • (ii)
    {b,a}
  • (iii)
    {b,d,a}
  • (iv)
    {c,d}
  • (v)
    {a,d}
Question 13
13.
Which of the following are true?
a)
14

11
173

19
=
173

19
14

11
b)
9

8
150

19
=
150

19
9

8
c)
9

8
+
173

19
=
173

19
+
9

8
d)
14

11
÷
150

19
=
150

19
÷
14

11
  • (i)
    {d,c}
  • (ii)
    {a,d,b}
  • (iii)
    {a,b}
  • (iv)
    {a,c,b}
  • (v)
    {b,c}
Question 14
14.
Which of the following are true?
a)
1

2
÷
(
61

10
÷
7

9
)
=
(
1

2
÷
61

10
)
÷
7

9
b)
1

2
(
129

16
15

16
)
=
(
1

2
129

16
)
15

16
c)
19

16
+
(
129

16
+
15

17
)
=
(
19

16
+
129

16
)
+
15

17
d)
19

16
(
61

10
16

15
)
=
(
19

16
61

10
)
16

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

16
(
145

16
5

12
)
=
(
9

16
145

16
)
(
9

16
5

12
)
b)
9

16
(
86

9
+
9

20
)
=
(
9

16
86

9
)
+
(
9

16
9

20
)
c)
16

17
(
145

16
8

9
)
=
(
16

17
145

16
)
(
16

17
8

9
)
d)
16

17
÷
(
86

9
+
7

12
)
=
(
16

17
÷
86

9
)
+
(
16

17
÷
7

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

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