EduSahara™ Assignment
Name : Properties of Rational Numbers
Chapter : Rational Numbers
Grade : CBSE Grade VIII
License : Non Commercial Use
Question
1
1.
The reciprocal of
2
3
is
(i)
3
2
(ii)
3
1
2
(iii)
1
2
(iv)
2
1
2
(v)
(
-1
2
)
Question
2
2.
The additive inverse of
4
3
is
(i)
0
(ii)
3
4
(iii)
3
-4
(iv)
(
-2
1
3
)
(v)
(
-4
3
)
Question
3
3.
The multiplicative inverse of
9
7
is
(i)
2
7
9
(ii)
(
-1
2
9
)
(iii)
1
7
9
(iv)
7
9
(v)
(
-2
9
)
Question
4
4.
Which of the following are true?
a)
6
11
−
65
9
=
65
9
−
6
11
b)
7
11
+
65
9
=
65
9
+
7
11
c)
7
11
✕
45
19
=
45
19
✕
7
11
d)
6
11
÷
45
19
=
45
19
÷
6
11
(i)
{a,b}
(ii)
{a,c,b}
(iii)
{a,d,b}
(iv)
{d,c}
(v)
{b,c}
Question
5
5.
Which of the following are true?
a)
3
19
÷
(
16
3
÷
19
13
)
=
(
3
19
÷
16
3
)
÷
19
13
b)
3
5
✕
(
16
3
✕
1
13
)
=
(
3
5
✕
16
3
)
✕
1
13
c)
3
5
+
(
39
19
+
19
7
)
=
(
3
5
+
39
19
)
+
19
7
d)
3
19
−
(
39
19
−
6
19
)
=
(
3
19
−
39
19
)
−
6
19
(i)
{b,c}
(ii)
{a,b}
(iii)
{a,d,b}
(iv)
{a,c,b}
(v)
{d,c}
Question
6
6.
Which of the following are true?
a)
3
16
✕
(
120
13
+
5
11
)
=
(
3
16
✕
120
13
)
+
(
3
16
✕
5
11
)
b)
19
15
÷
(
120
13
+
17
20
)
=
(
19
15
÷
120
13
)
+
(
19
15
÷
17
20
)
c)
19
15
−
(
23
18
✕
9
11
)
=
(
19
15
−
23
18
)
✕
(
19
15
−
9
11
)
d)
3
16
✕
(
23
18
−
18
17
)
=
(
3
16
✕
23
18
)
−
(
3
16
✕
18
17
)
(i)
{a,d}
(ii)
{b,c,a}
(iii)
{c,d}
(iv)
{b,a}
(v)
{b,d,a}
Question
7
7.
Which of the following are true?
a)
3
−
9
=
9
−
3
b)
9
÷
13
=
13
÷
9
c)
15
+
3
=
3
+
15
d)
13
✕
15
=
15
✕
13
(i)
{a,d,c}
(ii)
{a,b,c}
(iii)
{a,c}
(iv)
{b,d}
(v)
{c,d}
Question
8
8.
Which of the following are true?
a)
19
−
(
13
−
18
)
=
(
19
−
13
)
−
18
b)
18
✕
(
12
✕
19
)
=
(
18
✕
12
)
✕
19
c)
13
÷
(
18
÷
12
)
=
(
13
÷
18
)
÷
12
d)
12
+
(
19
+
13
)
=
(
12
+
19
)
+
13
(i)
{a,c,b}
(ii)
{c,d}
(iii)
{b,d}
(iv)
{a,b}
(v)
{a,d,b}
Question
9
9.
Which of the following are true?
a)
5
−
(
2
✕
6
)
=
(
5
−
2
)
✕
(
5
−
6
)
b)
10
✕
(
5
−
2
)
=
(
10
✕
5
)
−
(
10
✕
2
)
c)
2
÷
(
6
+
10
)
=
(
2
÷
6
)
+
(
2
÷
10
)
d)
6
✕
(
10
+
5
)
=
(
6
✕
10
)
+
(
6
✕
5
)
(i)
{a,c,b}
(ii)
{b,d}
(iii)
{a,d,b}
(iv)
{c,d}
(v)
{a,b}
Question
10
10.
Which of the following is true?
a)
17.4700
÷
5.3200
=
5.3200
÷
17.4700
b)
5.3200
✕
18.6000
=
18.6000
✕
5.3200
c)
18.6000
+
11.9700
=
11.9700
+
18.6000
d)
11.9700
−
17.4700
=
17.4700
−
11.9700
(i)
{a,c,b}
(ii)
{d,c}
(iii)
{a,b}
(iv)
{a,d,b}
(v)
{b,c}
Question
11
11.
Which of the following is true?
a)
13.2200
+
(
6.0300
+
9.9500
)
=
(
13.2200
+
6.0300
)
+
9.9500
b)
9.9500
÷
(
8.8600
÷
13.2200
)
=
(
9.9500
÷
8.8600
)
÷
13.2200
c)
8.8600
✕
(
13.2200
✕
6.0300
)
=
(
8.8600
✕
13.2200
)
✕
6.0300
d)
6.0300
−
(
9.9500
−
8.8600
)
=
(
6.0300
−
9.9500
)
−
8.8600
(i)
{b,d,a}
(ii)
{b,c,a}
(iii)
{b,a}
(iv)
{d,c}
(v)
{a,c}
Question
12
12.
Which of the following is true?
a)
3.3100
÷
(
5.5900
+
9.0200
)
=
(
3.3100
÷
5.5900
)
+
(
3.3100
÷
9.0200
)
b)
5.5900
✕
(
9.0200
+
11.6300
)
=
(
5.5900
✕
9.0200
)
+
(
5.5900
✕
11.6300
)
c)
9.0200
✕
(
11.6300
−
3.3100
)
=
(
9.0200
✕
11.6300
)
−
(
9.0200
✕
3.3100
)
d)
11.6300
−
(
3.3100
✕
5.5900
)
=
(
11.6300
−
3.3100
)
✕
(
11.6300
−
5.5900
)
(i)
{a,c,b}
(ii)
{d,c}
(iii)
{a,b}
(iv)
{b,c}
(v)
{a,d,b}
Question
13
13.
Which of the following are true?
a)
whole numbers are closed under division
b)
whole numbers are closed under multiplication
c)
whole numbers are closed under subtraction
d)
whole numbers are closed under addition
(i)
{a,b}
(ii)
{a,d,b}
(iii)
{c,d}
(iv)
{b,d}
(v)
{a,c,b}
Question
14
14.
Which of the following are true?
a)
integers are closed under addition
b)
integers are closed under division
c)
integers are closed under subtraction
d)
integers are closed under multiplication
(i)
{b,a}
(ii)
{a,c,d}
(iii)
{b,a,c}
(iv)
{b,c}
(v)
{b,d}
Question
15
15.
Which of the following are true?
a)
rational numbers are closed under addition
b)
rational numbers are closed under subtraction
c)
rational numbers are closed under multiplication
d)
rational numbers are closed under division
(i)
{a,b,c}
(ii)
{d,c}
(iii)
{d,a,b}
(iv)
{d,b}
(v)
{d,a}
Question
16
16.
Which of the following are true?
a)
real numbers are closed under division
b)
real numbers are closed under multiplication
c)
real numbers are closed under addition
d)
real numbers are closed under subtraction
(i)
{a,c}
(ii)
{a,d}
(iii)
{b,c,d}
(iv)
{a,b}
(v)
{a,b,c}
Question
17
17.
The additive inverse of
6
7
is
(i)
(
-1
6
7
)
(ii)
7
6
(iii)
7
-6
(iv)
0
(v)
(
-6
7
)
Question
18
18.
The multiplicative inverse of
(
-2
9
)
is
(i)
(
-5
1
2
)
(ii)
(
-6
1
2
)
(iii)
(
-9
2
)
(iv)
(
-2
1
2
)
(v)
(
-3
1
2
)
Question
19
19.
Which of the following are true?
a)
11
2
✕
23
13
=
23
13
✕
11
2
b)
12
7
÷
23
13
=
23
13
÷
12
7
c)
12
7
−
37
11
=
37
11
−
12
7
d)
11
2
+
37
11
=
37
11
+
11
2
(i)
{b,c,a}
(ii)
{a,d}
(iii)
{b,d,a}
(iv)
{c,d}
(v)
{b,a}
Question
20
20.
Which of the following are true?
a)
11
13
−
(
41
6
−
11
7
)
=
(
11
13
−
41
6
)
−
11
7
b)
5
12
+
(
41
6
+
1
15
)
=
(
5
12
+
41
6
)
+
1
15
c)
11
13
÷
(
41
10
÷
9
2
)
=
(
11
13
÷
41
10
)
÷
9
2
d)
5
12
✕
(
41
10
✕
4
15
)
=
(
5
12
✕
41
10
)
✕
4
15
(i)
{a,b}
(ii)
{a,d,b}
(iii)
{a,c,b}
(iv)
{c,d}
(v)
{b,d}
Question
21
21.
Which of the following are true?
a)
19
20
÷
(
55
7
+
6
17
)
=
(
19
20
÷
55
7
)
+
(
19
20
÷
6
17
)
b)
19
20
−
(
20
13
✕
9
7
)
=
(
19
20
−
20
13
)
✕
(
19
20
−
9
7
)
c)
11
3
✕
(
20
13
−
5
4
)
=
(
11
3
✕
20
13
)
−
(
11
3
✕
5
4
)
d)
11
3
✕
(
55
7
+
11
10
)
=
(
11
3
✕
55
7
)
+
(
11
3
✕
11
10
)
(i)
{a,b,c}
(ii)
{a,d,c}
(iii)
{b,d}
(iv)
{a,c}
(v)
{c,d}
Question
22
22.
Which of the following are true?
a)
8
−
9
=
9
−
8
b)
5
✕
7
=
7
✕
5
c)
9
÷
5
=
5
÷
9
d)
7
+
8
=
8
+
7
(i)
{b,d}
(ii)
{a,c,b}
(iii)
{c,d}
(iv)
{a,d,b}
(v)
{a,b}
Question
23
23.
Which of the following are true?
a)
18
+
(
16
+
3
)
=
(
18
+
16
)
+
3
b)
12
✕
(
18
✕
16
)
=
(
12
✕
18
)
✕
16
c)
16
−
(
3
−
12
)
=
(
16
−
3
)
−
12
d)
3
÷
(
12
÷
18
)
=
(
3
÷
12
)
÷
18
(i)
{d,b}
(ii)
{c,b,a}
(iii)
{a,b}
(iv)
{c,a}
(v)
{c,d,a}
Question
24
24.
Which of the following are true?
a)
2
✕
(
3
−
15
)
=
(
2
✕
3
)
−
(
2
✕
15
)
b)
15
÷
(
17
+
2
)
=
(
15
÷
17
)
+
(
15
÷
2
)
c)
17
✕
(
2
+
3
)
=
(
17
✕
2
)
+
(
17
✕
3
)
d)
3
−
(
15
✕
17
)
=
(
3
−
15
)
✕
(
3
−
17
)
(i)
{d,c}
(ii)
{b,d,a}
(iii)
{b,c,a}
(iv)
{a,c}
(v)
{b,a}
Question
25
25.
Which of the following is true?
a)
15.8400
−
20.6700
=
20.6700
−
15.8400
b)
7.0600
+
15.8400
=
15.8400
+
7.0600
c)
20.6700
÷
7.6900
=
7.6900
÷
20.6700
d)
7.6900
✕
7.0600
=
7.0600
✕
7.6900
(i)
{c,d}
(ii)
{b,d}
(iii)
{a,c,b}
(iv)
{a,b}
(v)
{a,d,b}
Question
26
26.
Which of the following is true?
a)
12.1100
−
(
11.3800
−
2.6400
)
=
(
12.1100
−
11.3800
)
−
2.6400
b)
14.7300
+
(
12.1100
+
11.3800
)
=
(
14.7300
+
12.1100
)
+
11.3800
c)
11.3800
÷
(
2.6400
÷
14.7300
)
=
(
11.3800
÷
2.6400
)
÷
14.7300
d)
2.6400
✕
(
14.7300
✕
12.1100
)
=
(
2.6400
✕
14.7300
)
✕
12.1100
(i)
{b,d}
(ii)
{c,d}
(iii)
{a,c,b}
(iv)
{a,d,b}
(v)
{a,b}
Question
27
27.
Which of the following is true?
a)
9.1400
✕
(
8.2100
+
20.2800
)
=
(
9.1400
✕
8.2100
)
+
(
9.1400
✕
20.2800
)
b)
20.2800
−
(
12.5700
✕
9.1400
)
=
(
20.2800
−
12.5700
)
✕
(
20.2800
−
9.1400
)
c)
12.5700
÷
(
9.1400
+
8.2100
)
=
(
12.5700
÷
9.1400
)
+
(
12.5700
÷
8.2100
)
d)
8.2100
✕
(
20.2800
−
12.5700
)
=
(
8.2100
✕
20.2800
)
−
(
8.2100
✕
12.5700
)
(i)
{b,a}
(ii)
{b,c,a}
(iii)
{b,d,a}
(iv)
{a,d}
(v)
{c,d}
Assignment Key
1) (i)
2) (v)
3) (iv)
4) (v)
5) (i)
6) (i)
7) (v)
8) (iii)
9) (ii)
10) (v)
11) (v)
12) (iv)
13) (iv)
14) (ii)
15) (i)
16) (iii)
17) (v)
18) (iii)
19) (ii)
20) (v)
21) (v)
22) (i)
23) (iii)
24) (iv)
25) (ii)
26) (i)
27) (iv)
