is the number 2/3 rational ? think about it.
Answers
Step-by-step explanation:
Rational Numbers
In Text Questions:
Example 1: Is the number 2/3 rational? Think about it.
Answer: Yes, because this number is in the form of p/q where q≠0.
Example 2: List ten rational numbers.
Answer: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
Example 3: Fill in the boxes:
(a)
5
4
=
(
)
16
=
25
(
)
=
15
(
)
Answer:
5
4
=
20
16
=
25
20
=
15
12
(b)
3
7
=
(
)
14
=
9
(
)
=
6
(
)
Answer:
3
7
=
6
14
=
9
21
=
6
14
Example 4: Is 5 a positive rational number?
Answer: Yes
Example 5: List five more positive rational numbers.
Answer: 6, 7, 8, 9 and 10
Example 6: Is – 8 a negative rational number?
Answer: Yes
Example 7: List five more negative rational numbers.
Answer: - 7, -6, -5, -4, -3
Example 8: Find the standard form of (i)
18
45
and (ii)
12
18
.
Answer:
18
45
=
9
×
2
9
×
5
=
2
5
12
18
=
6
×
2
6
×
3
=
2
3
Example 9: Find five rational numbers between
5
7
and
3
8
.
Answer: LCM of 7 and 8 is 56. So, let us convert these numbers with 56 as denominator.
5
7
=
40
56
and
3
8
=
21
56
So, required numbers are as follows:
22
56
,
23
56
,
24
56
,
25
56
,
26
56
Example 10: Try these:
(a)
3
7
+
2
3
Answer:
3
7
+
2
3
=
9
+
14
21
=
23
21
(b)
−
5
6
+
−
3
11
Answer:
−
5
6
+
−
3
11
=
−
55
−
18
66
=
−
73
66
Exmaple 11: What will be the additive inverse of:
−
3
9
,
−
9
11
,
5
7
?
Answer:
3
9
,
9
11
and
−
5
7
?
Example 12: Try these:
(a)
7
9
−
2
5
Answer:
7
9
−
2
5
=
35
−
18
45
=
17
45
(b)
2
1
5
−
1
3
Answer:
2
1
5
−
1
3
=
11
5
−
1
3
=
33
−
5
15
=
28
15
Example: 13: What will be:
(a)
−
3
5
×
7
=
?
Answer:
−
3
5
×
7
=
−
21
5
(b)
−
6
5
×
(
−
2
)
=
?
Answer:
−
6
5
×
(
−
2
)
=
12
5
Example 14: Find the value of following:
(a)
3
4
×
1
7
Answer:
3
4
×
1
7
=
3
28
(b)
2
3
×
5
9
Answer:
2
3
×
5
9
=
10
27
Example 15: What will be the reciprocal of
−
6
11
and
−
8
15
?
Answer:
−
11
6
and
−
15
8
Example 16: Find the following:
(a)
2
3
÷
7
8
Answer:
2
3
÷
7
8
=
2
3
×
8
7
=
16
21
(b)
−
6
7
÷
5
7
Answer:
−
6
7
÷
5
7
=
−
6
7
×
7
5
=
−
6
5
Prev
InText
Ex 9.1 (1)
Ex 9.1 (2)
Ex 9.2
Next
Copyright © excellup 2014
Sign In
Privacy
About
Contact
Advertise
Site Map