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

      3
    • is
  • (i)
    3

    1
  • (ii)
    3

    -1
  • (iii)
    (
    -1
    1

    3
    )
  • (iv)
    (
    -1

    3
    )
  • (v)
    0
Question 2
2.
    • The multiplicative inverse of
    • (
      -1

      2
      )
    • is
  • (i)
    0
  • (ii)
    -3
  • (iii)
    -4
  • (iv)
    -1
  • (v)
    -2

    1
Question 3
3.
    • The additive inverse of
    • 7

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

    7
  • (iii)
    (
    -2
    2

    5
    )
  • (iv)
    5

    -7
  • (v)
    (
    -7

    5
    )
Question 4
4.
    • The multiplicative inverse of
    • (
      -8

      5
      )
    • is
  • (i)
    1
    3

    8
  • (ii)
    3

    8
  • (iii)
    (
    -2
    5

    8
    )
  • (iv)
    (
    -1
    5

    8
    )
  • (v)
    (
    -5

    8
    )
Question 5
5.
    • The additive inverse of
    • 6

      7
    • is
  • (i)
    (
    -1
    6

    7
    )
  • (ii)
    7

    -6
  • (iii)
    0
  • (iv)
    (
    -6

    7
    )
  • (v)
    7

    6
Question 6
6.
    • The multiplicative inverse of
    • 1

      9
    • is
  • (i)
    10
  • (ii)
    11
  • (iii)
    7
  • (iv)
    9

    1
  • (v)
    8
Question 7
7.
Which of the following are true?
a)
11

2
+
81

14
=
81

14
+
11

2
b)
1

5
81

14
=
81

14
1

5
c)
11

2
161

19
=
161

19
11

2
d)
1

5
÷
161

19
=
161

19
÷
1

5
  • (i)
    {b,c,a}
  • (ii)
    {b,d,a}
  • (iii)
    {a,c}
  • (iv)
    {b,a}
  • (v)
    {d,c}
Question 8
8.
Which of the following are true?
a)
8

15
÷
(
89

18
÷
8

9
)
=
(
8

15
÷
89

18
)
÷
8

9
b)
9

19
+
(
17

8
+
15

17
)
=
(
9

19
+
17

8
)
+
15

17
c)
8

15
(
17

8
11

3
)
=
(
8

15
17

8
)
11

3
d)
9

19
(
89

18
8

7
)
=
(
9

19
89

18
)
8

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

17
(
17

14
12

17
)
=
(
5

17
17

14
)
(
5

17
12

17
)
b)
10

3
(
17

14
2

7
)
=
(
10

3
17

14
)
(
10

3
2

7
)
c)
5

17
÷
(
144

19
+
7

9
)
=
(
5

17
÷
144

19
)
+
(
5

17
÷
7

9
)
d)
10

3
(
144

19
+
11

17
)
=
(
10

3
144

19
)
+
(
10

3
11

17
)
  • (i)
    {b,d}
  • (ii)
    {a,b}
  • (iii)
    {c,d}
  • (iv)
    {a,c,b}
  • (v)
    {a,d,b}
Question 10
10.
Which of the following are true?
a)
18

5
36

5
=
36

5
18

5
b)
1

2
+
36

5
=
36

5
+
1

2
c)
18

5
÷
160

17
=
160

17
÷
18

5
d)
1

2
160

17
=
160

17
1

2
  • (i)
    {a,c,b}
  • (ii)
    {b,d}
  • (iii)
    {a,b}
  • (iv)
    {c,d}
  • (v)
    {a,d,b}
Question 11
11.
Which of the following are true?
a)
14

15
÷
(
59

18
÷
11

15
)
=
(
14

15
÷
59

18
)
÷
11

15
b)
8

9
(
59

18
1

9
)
=
(
8

9
59

18
)
1

9
c)
14

15
(
92

9
18

19
)
=
(
14

15
92

9
)
18

19
d)
8

9
+
(
92

9
+
1

13
)
=
(
8

9
+
92

9
)
+
1

13
  • (i)
    {a,b}
  • (ii)
    {c,d}
  • (iii)
    {a,c,b}
  • (iv)
    {a,d,b}
  • (v)
    {b,d}
Question 12
12.
Which of the following are true?
a)
5

9
(
157

17
20

13
)
=
(
5

9
157

17
)
(
5

9
20

13
)
b)
5

9
(
145

19
+
7

5
)
=
(
5

9
145

19
)
+
(
5

9
7

5
)
c)
13

6
(
157

17
11

10
)
=
(
13

6
157

17
)
(
13

6
11

10
)
d)
13

6
÷
(
145

19
+
3

10
)
=
(
13

6
÷
145

19
)
+
(
13

6
÷
3

10
)
  • (i)
    {d,b}
  • (ii)
    {a,b}
  • (iii)
    {c,d,a}
  • (iv)
    {c,b,a}
  • (v)
    {c,a}
Question 13
13.
Which of the following are true?
a)
19

6
68

9
=
68

9
19

6
b)
19

6
÷
86

15
=
86

15
÷
19

6
c)
19

4
86

15
=
86

15
19

4
d)
19

4
+
68

9
=
68

9
+
19

4
  • (i)
    {c,d}
  • (ii)
    {b,d}
  • (iii)
    {a,c}
  • (iv)
    {a,d,c}
  • (v)
    {a,b,c}
Question 14
14.
Which of the following are true?
a)
10

7
÷
(
31

3
÷
15

11
)
=
(
10

7
÷
31

3
)
÷
15

11
b)
19

13
(
31

3
5

14
)
=
(
19

13
31

3
)
5

14
c)
19

13
+
(
101

11
+
19

17
)
=
(
19

13
+
101

11
)
+
19

17
d)
10

7
(
101

11
13

12
)
=
(
10

7
101

11
)
13

12
  • (i)
    {a,d,b}
  • (ii)
    {a,c,b}
  • (iii)
    {b,c}
  • (iv)
    {d,c}
  • (v)
    {a,b}
Question 15
15.
Which of the following are true?
a)
7

20
÷
(
35

3
+
13

19
)
=
(
7

20
÷
35

3
)
+
(
7

20
÷
13

19
)
b)
18

13
(
35

3
+
17

11
)
=
(
18

13
35

3
)
+
(
18

13
17

11
)
c)
7

20
(
49

10
1

7
)
=
(
7

20
49

10
)
(
7

20
1

7
)
d)
18

13
(
49

10
9

19
)
=
(
18

13
49

10
)
(
18

13
9

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

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