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)
17
8
✕
37
12
=
37
12
✕
17
8
b)
17
8
+
41
5
=
41
5
+
17
8
c)
17
3
÷
37
12
=
37
12
÷
17
3
d)
17
3
−
41
5
=
41
5
−
17
3
(i)
{c,d,a}
(ii)
{c,a}
(iii)
{a,b}
(iv)
{d,b}
(v)
{c,b,a}
Question
2
2.
Which of the following are true?
a)
15
4
+
(
17
2
+
7
16
)
=
(
15
4
+
17
2
)
+
7
16
b)
15
4
✕
(
59
20
✕
20
19
)
=
(
15
4
✕
59
20
)
✕
20
19
c)
19
20
−
(
17
2
−
16
19
)
=
(
19
20
−
17
2
)
−
16
19
d)
19
20
÷
(
59
20
÷
3
16
)
=
(
19
20
÷
59
20
)
÷
3
16
(i)
{c,d,a}
(ii)
{c,b,a}
(iii)
{c,a}
(iv)
{d,b}
(v)
{a,b}
Question
3
3.
Which of the following are true?
a)
1
12
✕
(
103
16
−
1
2
)
=
(
1
12
✕
103
16
)
−
(
1
12
✕
1
2
)
b)
1
12
✕
(
113
19
+
8
9
)
=
(
1
12
✕
113
19
)
+
(
1
12
✕
8
9
)
c)
12
17
−
(
103
16
✕
17
12
)
=
(
12
17
−
103
16
)
✕
(
12
17
−
17
12
)
d)
12
17
÷
(
113
19
+
11
14
)
=
(
12
17
÷
113
19
)
+
(
12
17
÷
11
14
)
(i)
{d,b}
(ii)
{a,b}
(iii)
{c,b,a}
(iv)
{c,d,a}
(v)
{c,a}
Question
4
4.
Which of the following are true?
a)
rational numbers are closed under subtraction
b)
rational numbers are closed under division
c)
rational numbers are closed under multiplication
d)
rational numbers are closed under addition
(i)
{a,c,d}
(ii)
{b,c}
(iii)
{b,a}
(iv)
{b,d}
(v)
{b,a,c}
Question
5
5.
Which of the following are true?
a)
real numbers are closed under subtraction
b)
real numbers are closed under multiplication
c)
real numbers are closed under addition
d)
real numbers are closed under division
(i)
{a,b,c}
(ii)
{d,a}
(iii)
{d,c}
(iv)
{d,b}
(v)
{d,a,b}
Question
6
6.
Which of the following are true?
a)
17
18
✕
83
9
=
83
9
✕
17
18
b)
2
11
÷
83
9
=
83
9
÷
2
11
c)
17
18
+
89
18
=
89
18
+
17
18
d)
2
11
−
89
18
=
89
18
−
2
11
(i)
{d,c}
(ii)
{b,d,a}
(iii)
{a,c}
(iv)
{b,a}
(v)
{b,c,a}
Question
7
7.
Which of the following are true?
a)
11
9
+
(
29
2
+
15
14
)
=
(
11
9
+
29
2
)
+
15
14
b)
1
11
÷
(
162
17
÷
2
7
)
=
(
1
11
÷
162
17
)
÷
2
7
c)
11
9
✕
(
162
17
✕
7
6
)
=
(
11
9
✕
162
17
)
✕
7
6
d)
1
11
−
(
29
2
−
13
4
)
=
(
1
11
−
29
2
)
−
13
4
(i)
{b,a}
(ii)
{d,c}
(iii)
{b,d,a}
(iv)
{a,c}
(v)
{b,c,a}
Question
8
8.
Which of the following are true?
a)
11
10
÷
(
44
17
+
12
13
)
=
(
11
10
÷
44
17
)
+
(
11
10
÷
12
13
)
b)
19
18
✕
(
44
17
+
15
17
)
=
(
19
18
✕
44
17
)
+
(
19
18
✕
15
17
)
c)
19
18
✕
(
89
17
−
7
11
)
=
(
19
18
✕
89
17
)
−
(
19
18
✕
7
11
)
d)
11
10
−
(
89
17
✕
8
15
)
=
(
11
10
−
89
17
)
✕
(
11
10
−
8
15
)
(i)
{a,b}
(ii)
{a,d,b}
(iii)
{b,c}
(iv)
{d,c}
(v)
{a,c,b}
Question
9
9.
Which of the following are true?
a)
12
13
✕
93
10
=
93
10
✕
12
13
b)
9
4
÷
93
10
=
93
10
÷
9
4
c)
12
13
+
184
19
=
184
19
+
12
13
d)
9
4
−
184
19
=
184
19
−
9
4
(i)
{b,d,a}
(ii)
{a,c}
(iii)
{d,c}
(iv)
{b,c,a}
(v)
{b,a}
Question
10
10.
Which of the following are true?
a)
3
16
✕
(
41
16
✕
13
19
)
=
(
3
16
✕
41
16
)
✕
13
19
b)
3
16
+
(
59
11
+
13
14
)
=
(
3
16
+
59
11
)
+
13
14
c)
2
15
−
(
59
11
−
17
20
)
=
(
2
15
−
59
11
)
−
17
20
d)
2
15
÷
(
41
16
÷
7
8
)
=
(
2
15
÷
41
16
)
÷
7
8
(i)
{c,b,a}
(ii)
{c,a}
(iii)
{c,d,a}
(iv)
{d,b}
(v)
{a,b}
Question
11
11.
Which of the following are true?
a)
11
10
✕
(
61
6
+
11
15
)
=
(
11
10
✕
61
6
)
+
(
11
10
✕
11
15
)
b)
11
7
÷
(
61
6
+
7
6
)
=
(
11
7
÷
61
6
)
+
(
11
7
÷
7
6
)
c)
11
7
−
(
65
19
✕
11
16
)
=
(
11
7
−
65
19
)
✕
(
11
7
−
11
16
)
d)
11
10
✕
(
65
19
−
13
16
)
=
(
11
10
✕
65
19
)
−
(
11
10
✕
13
16
)
(i)
{a,d}
(ii)
{b,a}
(iii)
{c,d}
(iv)
{b,d,a}
(v)
{b,c,a}
Assignment Key
1) (iii)
2) (v)
3) (ii)
4) (i)
5) (i)
6) (iii)
7) (iv)
8) (iii)
9) (ii)
10) (v)
11) (i)
