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)
7
19
+
35
8
=
35
8
+
7
19
b)
3
5
÷
74
9
=
74
9
÷
3
5
c)
7
19
✕
74
9
=
74
9
✕
7
19
d)
3
5
−
35
8
=
35
8
−
3
5
(i)
{b,d,a}
(ii)
{b,a}
(iii)
{a,c}
(iv)
{b,c,a}
(v)
{d,c}
Question
2
2.
Which of the following are true?
a)
13
20
−
(
22
19
−
2
15
)
=
(
13
20
−
22
19
)
−
2
15
b)
17
13
✕
(
33
4
✕
7
17
)
=
(
17
13
✕
33
4
)
✕
7
17
c)
17
13
+
(
22
19
+
17
20
)
=
(
17
13
+
22
19
)
+
17
20
d)
13
20
÷
(
33
4
÷
20
11
)
=
(
13
20
÷
33
4
)
÷
20
11
(i)
{b,c}
(ii)
{a,b}
(iii)
{d,c}
(iv)
{a,c,b}
(v)
{a,d,b}
Question
3
3.
Which of the following are true?
a)
13
19
−
(
72
7
✕
19
20
)
=
(
13
19
−
72
7
)
✕
(
13
19
−
19
20
)
b)
19
12
✕
(
72
7
−
7
10
)
=
(
19
12
✕
72
7
)
−
(
19
12
✕
7
10
)
c)
13
19
÷
(
19
3
+
8
9
)
=
(
13
19
÷
19
3
)
+
(
13
19
÷
8
9
)
d)
19
12
✕
(
19
3
+
4
3
)
=
(
19
12
✕
19
3
)
+
(
19
12
✕
4
3
)
(i)
{a,d,b}
(ii)
{a,b}
(iii)
{b,d}
(iv)
{c,d}
(v)
{a,c,b}
Question
4
4.
Which of the following are true?
a)
rational numbers are closed under division
b)
rational numbers are closed under subtraction
c)
rational numbers are closed under multiplication
d)
rational numbers are closed under addition
(i)
{a,b,c}
(ii)
{a,d}
(iii)
{b,c,d}
(iv)
{a,c}
(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 multiplication
d)
real numbers are closed under addition
(i)
{b,c}
(ii)
{b,a}
(iii)
{b,d}
(iv)
{a,c,d}
(v)
{b,a,c}
Question
6
6.
Which of the following are true?
a)
15
17
÷
29
10
=
29
10
÷
15
17
b)
15
17
−
113
19
=
113
19
−
15
17
c)
9
19
✕
29
10
=
29
10
✕
9
19
d)
9
19
+
113
19
=
113
19
+
9
19
(i)
{c,d}
(ii)
{a,d,c}
(iii)
{a,c}
(iv)
{a,b,c}
(v)
{b,d}
Question
7
7.
Which of the following are true?
a)
1
6
+
(
11
5
+
6
13
)
=
(
1
6
+
11
5
)
+
6
13
b)
1
6
✕
(
37
3
✕
9
5
)
=
(
1
6
✕
37
3
)
✕
9
5
c)
11
3
÷
(
37
3
÷
5
8
)
=
(
11
3
÷
37
3
)
÷
5
8
d)
11
3
−
(
11
5
−
13
16
)
=
(
11
3
−
11
5
)
−
13
16
(i)
{d,b}
(ii)
{c,d,a}
(iii)
{a,b}
(iv)
{c,a}
(v)
{c,b,a}
Question
8
8.
Which of the following are true?
a)
5
16
✕
(
32
5
−
1
17
)
=
(
5
16
✕
32
5
)
−
(
5
16
✕
1
17
)
b)
18
5
−
(
32
5
✕
9
20
)
=
(
18
5
−
32
5
)
✕
(
18
5
−
9
20
)
c)
18
5
÷
(
16
11
+
15
16
)
=
(
18
5
÷
16
11
)
+
(
18
5
÷
15
16
)
d)
5
16
✕
(
16
11
+
11
13
)
=
(
5
16
✕
16
11
)
+
(
5
16
✕
11
13
)
(i)
{b,d,a}
(ii)
{b,c,a}
(iii)
{c,d}
(iv)
{b,a}
(v)
{a,d}
Question
9
9.
Which of the following are true?
a)
1
12
✕
150
17
=
150
17
✕
1
12
b)
1
12
+
27
10
=
27
10
+
1
12
c)
13
3
−
27
10
=
27
10
−
13
3
d)
13
3
÷
150
17
=
150
17
÷
13
3
(i)
{a,b}
(ii)
{d,b}
(iii)
{c,b,a}
(iv)
{c,d,a}
(v)
{c,a}
Question
10
10.
Which of the following are true?
a)
10
13
+
(
167
20
+
17
7
)
=
(
10
13
+
167
20
)
+
17
7
b)
7
3
−
(
167
20
−
2
13
)
=
(
7
3
−
167
20
)
−
2
13
c)
10
13
✕
(
61
10
✕
11
10
)
=
(
10
13
✕
61
10
)
✕
11
10
d)
7
3
÷
(
61
10
÷
13
18
)
=
(
7
3
÷
61
10
)
÷
13
18
(i)
{b,c,a}
(ii)
{b,a}
(iii)
{b,d,a}
(iv)
{a,c}
(v)
{d,c}
Question
11
11.
Which of the following are true?
a)
14
11
✕
(
25
8
+
9
5
)
=
(
14
11
✕
25
8
)
+
(
14
11
✕
9
5
)
b)
13
16
−
(
31
7
✕
4
17
)
=
(
13
16
−
31
7
)
✕
(
13
16
−
4
17
)
c)
13
16
÷
(
25
8
+
19
6
)
=
(
13
16
÷
25
8
)
+
(
13
16
÷
19
6
)
d)
14
11
✕
(
31
7
−
12
13
)
=
(
14
11
✕
31
7
)
−
(
14
11
✕
12
13
)
(i)
{c,d}
(ii)
{b,d,a}
(iii)
{a,d}
(iv)
{b,c,a}
(v)
{b,a}
Assignment Key
1) (iii)
2) (i)
3) (iii)
4) (iii)
5) (iv)
6) (i)
7) (iii)
8) (v)
9) (i)
10) (iv)
11) (iii)
