EduSahara™ Assignment
Name : Properties of Real Numbers
Chapter : Real Numbers
Grade : SSC Grade X
License : Non Commercial Use
Question 1
1.
Which of the following are true?
a)
real numbers are closed under addition
b)
real numbers are closed under multiplication
c)
real numbers are closed under division
d)
real numbers are closed under subtraction
  • (i)
    {c,d}
  • (ii)
    {c,a,b}
  • (iii)
    {c,a}
  • (iv)
    {a,b,d}
  • (v)
    {c,b}
Question 2
2.
    • The additive inverse of
    • 8

      5
    • is
  • (i)
    0
  • (ii)
    (
    -8

    5
    )
  • (iii)
    (
    -2
    3

    5
    )
  • (iv)
    5

    -8
  • (v)
    5

    8
Question 3
3.
    • The multiplicative inverse of
    • (
      -1

      9
      )
    • is
  • (i)
    -9

    1
  • (ii)
    -8
  • (iii)
    -7
  • (iv)
    -10
  • (v)
    -11
Question 4
4.
Which of the following are true?
a)
4

9
÷
59

10
=
59

10
÷
4

9
b)
15

4
+
17

15
=
17

15
+
15

4
c)
15

4
59

10
=
59

10
15

4
d)
4

9
17

15
=
17

15
4

9
  • (i)
    {a,d,b}
  • (ii)
    {a,c,b}
  • (iii)
    {a,b}
  • (iv)
    {d,c}
  • (v)
    {b,c}
Question 5
5.
Which of the following are true?
a)
8

5
(
63

16
16

17
)
=
(
8

5
63

16
)
16

17
b)
9

11
+
(
63

16
+
5

14
)
=
(
9

11
+
63

16
)
+
5

14
c)
9

11
(
64

7
6

11
)
=
(
9

11
64

7
)
6

11
d)
8

5
÷
(
64

7
÷
2

3
)
=
(
8

5
÷
64

7
)
÷
2

3
  • (i)
    {b,c}
  • (ii)
    {a,c,b}
  • (iii)
    {a,d,b}
  • (iv)
    {d,c}
  • (v)
    {a,b}
Question 6
6.
Which of the following are true?
a)
11

15
(
37

7
7

15
)
=
(
11

15
37

7
)
(
11

15
7

15
)
b)
11

15
÷
(
19

8
+
19

12
)
=
(
11

15
÷
19

8
)
+
(
11

15
÷
19

12
)
c)
7

12
(
19

8
+
14

13
)
=
(
7

12
19

8
)
+
(
7

12
14

13
)
d)
7

12
(
37

7
13

10
)
=
(
7

12
37

7
)
(
7

12
13

10
)
  • (i)
    {b,d}
  • (ii)
    {a,c}
  • (iii)
    {a,d,c}
  • (iv)
    {a,b,c}
  • (v)
    {c,d}
Question 7
7.
    • Which of the following is true?
a)
4.5400
÷
15.8100
=
15.8100
÷
4.5400
b)
15.8100
13.3300
=
13.3300
15.8100
c)
13.3300
+
15.2100
=
15.2100
+
13.3300
d)
15.2100
4.5400
=
4.5400
15.2100
  • (i)
    {d,c}
  • (ii)
    {a,c,b}
  • (iii)
    {b,c}
  • (iv)
    {a,d,b}
  • (v)
    {a,b}
Question 8
8.
    • Which of the following is true?
a)
13.6100
÷
(
9.3800
÷
18.9400
)
=
(
13.6100
÷
9.3800
)
÷
18.9400
b)
9.3800
(
18.9400
19.5900
)
=
(
9.3800
18.9400
)
19.5900
c)
18.9400
+
(
19.5900
+
13.6100
)
=
(
18.9400
+
19.5900
)
+
13.6100
d)
19.5900
(
13.6100
9.3800
)
=
(
19.5900
13.6100
)
9.3800
  • (i)
    {a,b}
  • (ii)
    {a,c,b}
  • (iii)
    {b,c}
  • (iv)
    {d,c}
  • (v)
    {a,d,b}
Question 9
9.
    • Which of the following is true?
a)
15.0600
÷
(
19.2100
+
15.0100
)
=
(
15.0600
÷
19.2100
)
+
(
15.0600
÷
15.0100
)
b)
15.0100
(
12.7900
15.0600
)
=
(
15.0100
12.7900
)
(
15.0100
15.0600
)
c)
12.7900
(
15.0600
19.2100
)
=
(
12.7900
15.0600
)
(
12.7900
19.2100
)
d)
19.2100
(
15.0100
+
12.7900
)
=
(
19.2100
15.0100
)
+
(
19.2100
12.7900
)
  • (i)
    {c,d}
  • (ii)
    {a,c,b}
  • (iii)
    {a,d,b}
  • (iv)
    {b,d}
  • (v)
    {a,b}
    Assignment Key

  •  1) (iv)
  •  2) (ii)
  •  3) (i)
  •  4) (v)
  •  5) (i)
  •  6) (v)
  •  7) (iii)
  •  8) (iii)
  •  9) (iv)