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)
12
19
−
55
18
=
55
18
−
12
19
b)
2
7
+
55
18
=
55
18
+
2
7
c)
12
19
÷
40
3
=
40
3
÷
12
19
d)
2
7
✕
40
3
=
40
3
✕
2
7
(i)
{a,b}
(ii)
{b,d}
(iii)
{a,d,b}
(iv)
{c,d}
(v)
{a,c,b}
Question
2
2.
Which of the following are true?
a)
18
19
−
(
71
13
−
9
17
)
=
(
18
19
−
71
13
)
−
9
17
b)
17
2
+
(
71
13
+
6
19
)
=
(
17
2
+
71
13
)
+
6
19
c)
17
2
✕
(
12
5
✕
19
6
)
=
(
17
2
✕
12
5
)
✕
19
6
d)
18
19
÷
(
12
5
÷
3
17
)
=
(
18
19
÷
12
5
)
÷
3
17
(i)
{d,c}
(ii)
{a,c,b}
(iii)
{a,d,b}
(iv)
{b,c}
(v)
{a,b}
Question
3
3.
Which of the following are true?
a)
9
14
✕
(
51
5
−
13
19
)
=
(
9
14
✕
51
5
)
−
(
9
14
✕
13
19
)
b)
11
14
÷
(
15
7
+
7
8
)
=
(
11
14
÷
15
7
)
+
(
11
14
÷
7
8
)
c)
11
14
−
(
51
5
✕
8
15
)
=
(
11
14
−
51
5
)
✕
(
11
14
−
8
15
)
d)
9
14
✕
(
15
7
+
17
7
)
=
(
9
14
✕
15
7
)
+
(
9
14
✕
17
7
)
(i)
{b,a}
(ii)
{c,d}
(iii)
{b,d,a}
(iv)
{b,c,a}
(v)
{a,d}
Question
4
4.
Which of the following are true?
a)
rational numbers are closed under division
b)
rational numbers are closed under addition
c)
rational numbers are closed under subtraction
d)
rational numbers are closed under multiplication
(i)
{a,c}
(ii)
{b,c,d}
(iii)
{a,b,c}
(iv)
{a,d}
(v)
{a,b}
Question
5
5.
Which of the following are true?
a)
real numbers are closed under subtraction
b)
real numbers are closed under division
c)
real numbers are closed under addition
d)
real numbers are closed under multiplication
(i)
{b,a,c}
(ii)
{b,d}
(iii)
{a,c,d}
(iv)
{b,a}
(v)
{b,c}
Question
6
6.
Which of the following are true?
a)
17
8
÷
87
17
=
87
17
÷
17
8
b)
12
13
+
16
3
=
16
3
+
12
13
c)
12
13
✕
87
17
=
87
17
✕
12
13
d)
17
8
−
16
3
=
16
3
−
17
8
(i)
{a,c,b}
(ii)
{a,b}
(iii)
{a,d,b}
(iv)
{b,c}
(v)
{d,c}
Question
7
7.
Which of the following are true?
a)
11
5
÷
(
33
8
÷
3
19
)
=
(
11
5
÷
33
8
)
÷
3
19
b)
11
5
−
(
43
3
−
8
17
)
=
(
11
5
−
43
3
)
−
8
17
c)
14
9
+
(
43
3
+
13
7
)
=
(
14
9
+
43
3
)
+
13
7
d)
14
9
✕
(
33
8
✕
9
7
)
=
(
14
9
✕
33
8
)
✕
9
7
(i)
{b,d}
(ii)
{a,b,c}
(iii)
{a,c}
(iv)
{c,d}
(v)
{a,d,c}
Question
8
8.
Which of the following are true?
a)
8
9
✕
(
13
10
−
9
19
)
=
(
8
9
✕
13
10
)
−
(
8
9
✕
9
19
)
b)
8
9
✕
(
99
14
+
5
18
)
=
(
8
9
✕
99
14
)
+
(
8
9
✕
5
18
)
c)
11
8
÷
(
99
14
+
9
20
)
=
(
11
8
÷
99
14
)
+
(
11
8
÷
9
20
)
d)
11
8
−
(
13
10
✕
3
13
)
=
(
11
8
−
13
10
)
✕
(
11
8
−
3
13
)
(i)
{a,b}
(ii)
{c,a}
(iii)
{d,b}
(iv)
{c,d,a}
(v)
{c,b,a}
Question
9
9.
Which of the following are true?
a)
11
9
÷
149
17
=
149
17
÷
11
9
b)
17
20
+
129
20
=
129
20
+
17
20
c)
17
20
✕
149
17
=
149
17
✕
17
20
d)
11
9
−
129
20
=
129
20
−
11
9
(i)
{b,c}
(ii)
{a,d,b}
(iii)
{a,c,b}
(iv)
{d,c}
(v)
{a,b}
Question
10
10.
Which of the following are true?
a)
15
14
✕
(
99
20
✕
19
2
)
=
(
15
14
✕
99
20
)
✕
19
2
b)
15
14
+
(
93
20
+
16
3
)
=
(
15
14
+
93
20
)
+
16
3
c)
7
16
÷
(
99
20
÷
17
2
)
=
(
7
16
÷
99
20
)
÷
17
2
d)
7
16
−
(
93
20
−
7
10
)
=
(
7
16
−
93
20
)
−
7
10
(i)
{a,b}
(ii)
{c,b,a}
(iii)
{d,b}
(iv)
{c,d,a}
(v)
{c,a}
Question
11
11.
Which of the following are true?
a)
6
5
−
(
69
7
✕
10
13
)
=
(
6
5
−
69
7
)
✕
(
6
5
−
10
13
)
b)
1
19
✕
(
35
13
+
1
13
)
=
(
1
19
✕
35
13
)
+
(
1
19
✕
1
13
)
c)
6
5
÷
(
35
13
+
2
15
)
=
(
6
5
÷
35
13
)
+
(
6
5
÷
2
15
)
d)
1
19
✕
(
69
7
−
4
3
)
=
(
1
19
✕
69
7
)
−
(
1
19
✕
4
3
)
(i)
{a,c,b}
(ii)
{c,d}
(iii)
{a,b}
(iv)
{b,d}
(v)
{a,d,b}
Assignment Key
1) (ii)
2) (iv)
3) (v)
4) (ii)
5) (iii)
6) (iv)
7) (iv)
8) (i)
9) (i)
10) (i)
11) (iv)
