EduSahara™ Assignment
Name : Properties of Rational Numbers
Chapter : Real Numbers
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
Which of the following are true?
a)
8
15
✕
122
19
=
122
19
✕
8
15
b)
8
15
+
106
13
=
106
13
+
8
15
c)
1
16
−
106
13
=
106
13
−
1
16
d)
1
16
÷
122
19
=
122
19
÷
1
16
(i)
{c,a}
(ii)
{a,b}
(iii)
{c,d,a}
(iv)
{d,b}
(v)
{c,b,a}
Question
2
2.
Which of the following are true?
a)
7
6
−
(
37
20
−
17
10
)
=
(
7
6
−
37
20
)
−
17
10
b)
7
6
÷
(
48
7
÷
4
17
)
=
(
7
6
÷
48
7
)
÷
4
17
c)
11
16
✕
(
48
7
✕
7
12
)
=
(
11
16
✕
48
7
)
✕
7
12
d)
11
16
+
(
37
20
+
2
17
)
=
(
11
16
+
37
20
)
+
2
17
(i)
{a,c}
(ii)
{b,d}
(iii)
{c,d}
(iv)
{a,b,c}
(v)
{a,d,c}
Question
3
3.
Which of the following are true?
a)
12
11
−
(
7
6
✕
1
10
)
=
(
12
11
−
7
6
)
✕
(
12
11
−
1
10
)
b)
12
11
÷
(
114
11
+
3
17
)
=
(
12
11
÷
114
11
)
+
(
12
11
÷
3
17
)
c)
7
15
✕
(
7
6
−
20
13
)
=
(
7
15
✕
7
6
)
−
(
7
15
✕
20
13
)
d)
7
15
✕
(
114
11
+
1
17
)
=
(
7
15
✕
114
11
)
+
(
7
15
✕
1
17
)
(i)
{c,d}
(ii)
{b,d}
(iii)
{a,d,c}
(iv)
{a,b,c}
(v)
{a,c}
Question
4
4.
Which of the following are true?
a)
rational numbers are closed under subtraction
b)
rational numbers are closed under multiplication
c)
rational numbers are closed under addition
d)
rational numbers are closed under division
(i)
{d,a}
(ii)
{d,c}
(iii)
{d,b}
(iv)
{a,b,c}
(v)
{d,a,b}
Question
5
5.
Which of the following are true?
a)
real numbers are closed under multiplication
b)
real numbers are closed under division
c)
real numbers are closed under addition
d)
real numbers are closed under subtraction
(i)
{b,a}
(ii)
{b,c}
(iii)
{a,c,d}
(iv)
{b,d}
(v)
{b,a,c}
Question
6
6.
Which of the following are true?
a)
4
3
+
49
9
=
49
9
+
4
3
b)
4
3
✕
55
9
=
55
9
✕
4
3
c)
13
6
÷
55
9
=
55
9
÷
13
6
d)
13
6
−
49
9
=
49
9
−
13
6
(i)
{a,b}
(ii)
{d,b}
(iii)
{c,a}
(iv)
{c,d,a}
(v)
{c,b,a}
Question
7
7.
Which of the following are true?
a)
18
13
✕
(
91
20
✕
1
19
)
=
(
18
13
✕
91
20
)
✕
1
19
b)
7
18
÷
(
91
20
÷
11
15
)
=
(
7
18
÷
91
20
)
÷
11
15
c)
18
13
+
(
92
11
+
18
19
)
=
(
18
13
+
92
11
)
+
18
19
d)
7
18
−
(
92
11
−
4
17
)
=
(
7
18
−
92
11
)
−
4
17
(i)
{b,d,a}
(ii)
{d,c}
(iii)
{b,c,a}
(iv)
{a,c}
(v)
{b,a}
Question
8
8.
Which of the following are true?
a)
1
14
✕
(
123
19
+
9
19
)
=
(
1
14
✕
123
19
)
+
(
1
14
✕
9
19
)
b)
1
14
✕
(
37
5
−
12
11
)
=
(
1
14
✕
37
5
)
−
(
1
14
✕
12
11
)
c)
7
2
÷
(
123
19
+
17
13
)
=
(
7
2
÷
123
19
)
+
(
7
2
÷
17
13
)
d)
7
2
−
(
37
5
✕
17
2
)
=
(
7
2
−
37
5
)
✕
(
7
2
−
17
2
)
(i)
{c,b,a}
(ii)
{a,b}
(iii)
{c,a}
(iv)
{c,d,a}
(v)
{d,b}
Question
9
9.
Which of the following are true?
a)
16
19
÷
26
11
=
26
11
÷
16
19
b)
16
19
−
9
4
=
9
4
−
16
19
c)
7
13
✕
26
11
=
26
11
✕
7
13
d)
7
13
+
9
4
=
9
4
+
7
13
(i)
{a,c}
(ii)
{c,d}
(iii)
{a,b,c}
(iv)
{a,d,c}
(v)
{b,d}
Question
10
10.
Which of the following are true?
a)
7
20
+
(
58
5
+
7
19
)
=
(
7
20
+
58
5
)
+
7
19
b)
7
20
✕
(
89
15
✕
1
4
)
=
(
7
20
✕
89
15
)
✕
1
4
c)
17
12
−
(
58
5
−
3
17
)
=
(
17
12
−
58
5
)
−
3
17
d)
17
12
÷
(
89
15
÷
11
8
)
=
(
17
12
÷
89
15
)
÷
11
8
(i)
{c,b,a}
(ii)
{c,a}
(iii)
{d,b}
(iv)
{a,b}
(v)
{c,d,a}
Question
11
11.
Which of the following are true?
a)
7
3
✕
(
66
7
−
7
18
)
=
(
7
3
✕
66
7
)
−
(
7
3
✕
7
18
)
b)
7
2
−
(
66
7
✕
17
15
)
=
(
7
2
−
66
7
)
✕
(
7
2
−
17
15
)
c)
7
3
✕
(
66
7
+
1
3
)
=
(
7
3
✕
66
7
)
+
(
7
3
✕
1
3
)
d)
7
2
÷
(
66
7
+
5
4
)
=
(
7
2
÷
66
7
)
+
(
7
2
÷
5
4
)
(i)
{b,c,a}
(ii)
{b,d,a}
(iii)
{d,c}
(iv)
{a,c}
(v)
{b,a}
Assignment Key
1) (ii)
2) (iii)
3) (i)
4) (iv)
5) (iii)
6) (i)
7) (iv)
8) (ii)
9) (ii)
10) (iv)
11) (iv)
