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Page 1
Exercise
In each of the following questions 1 to 12, there are four options,
out of which, only one is correct. Write the correct one.
1. A rational number is defined as a number that can be expressed in the
form p/q , where p and q are integers and
(a) q = 0 (b) q = 1 (c) q ? 1 (d) q ? 0
Solution:-
(d) q ? 0
A number that can be expressed in the form
p
q
, where p and q are integers and q ? 0, is
called a rational number.
2. Which of the following rational numbers is positive?
(a) –8 / 7 (b) 19 /–13 (c) –3 /–4 (d) –21/13
Solution:-
(c)
3
4
-
-
When the numerator and denominator both are positive integers or both are negative integers,
it is a positive rational number.
3. Which of the following rational numbers is negative?
(a) –(–3/– 7) (b) –5/–8 (c) 9/8 (d) 3/–7
Solution:-
(d)
3
7 -
When either the numerator or the denominator is a negative integer, it is a negative rational
number.
4. In the standard form of a rational number, the common factor of
numerator and denominator is always:
(a) 0 (b) 1 (c) – 2 (d) 2
Solution:-
Chapter - 8
Rational Numbers
Page 2
Exercise
In each of the following questions 1 to 12, there are four options,
out of which, only one is correct. Write the correct one.
1. A rational number is defined as a number that can be expressed in the
form p/q , where p and q are integers and
(a) q = 0 (b) q = 1 (c) q ? 1 (d) q ? 0
Solution:-
(d) q ? 0
A number that can be expressed in the form
p
q
, where p and q are integers and q ? 0, is
called a rational number.
2. Which of the following rational numbers is positive?
(a) –8 / 7 (b) 19 /–13 (c) –3 /–4 (d) –21/13
Solution:-
(c)
3
4
-
-
When the numerator and denominator both are positive integers or both are negative integers,
it is a positive rational number.
3. Which of the following rational numbers is negative?
(a) –(–3/– 7) (b) –5/–8 (c) 9/8 (d) 3/–7
Solution:-
(d)
3
7 -
When either the numerator or the denominator is a negative integer, it is a negative rational
number.
4. In the standard form of a rational number, the common factor of
numerator and denominator is always:
(a) 0 (b) 1 (c) – 2 (d) 2
Solution:-
Chapter - 8
Rational Numbers
(b) 1
A rational number is said to be in the standard form, if its denominator is a positive integer
and the numerator and denominator have no common factor other than 1.
5. Which of the following rational numbers is equal to its reciprocal?
(a) 1 (b) 2 (c) 1/2 (d) 0
Solution:-
(a) 1
As,
Reciprocal of
1
1
= 1
6. The reciprocal of 1/2 is
(a) 3 (b) 2 (c) – 1 (d) 0
Solution:-
(b) 2
The reciprocal of
1
2
=
2
1
7. The standard form of –48/60 is
(a) 48/60 (b) –60/48 (c) -4/5 (d) -4/-5
Solution:-
(c)
4
5
-
The standard form =
48
60
-
Dividing both numerator and denominator by 12,
48
60
-
=
4
5
-
8. Which of the following is equivalent to 4/5?
(a) 5/4 (b) 16/25 (c) 16/20 (d) 15/25
Page 3
Exercise
In each of the following questions 1 to 12, there are four options,
out of which, only one is correct. Write the correct one.
1. A rational number is defined as a number that can be expressed in the
form p/q , where p and q are integers and
(a) q = 0 (b) q = 1 (c) q ? 1 (d) q ? 0
Solution:-
(d) q ? 0
A number that can be expressed in the form
p
q
, where p and q are integers and q ? 0, is
called a rational number.
2. Which of the following rational numbers is positive?
(a) –8 / 7 (b) 19 /–13 (c) –3 /–4 (d) –21/13
Solution:-
(c)
3
4
-
-
When the numerator and denominator both are positive integers or both are negative integers,
it is a positive rational number.
3. Which of the following rational numbers is negative?
(a) –(–3/– 7) (b) –5/–8 (c) 9/8 (d) 3/–7
Solution:-
(d)
3
7 -
When either the numerator or the denominator is a negative integer, it is a negative rational
number.
4. In the standard form of a rational number, the common factor of
numerator and denominator is always:
(a) 0 (b) 1 (c) – 2 (d) 2
Solution:-
Chapter - 8
Rational Numbers
(b) 1
A rational number is said to be in the standard form, if its denominator is a positive integer
and the numerator and denominator have no common factor other than 1.
5. Which of the following rational numbers is equal to its reciprocal?
(a) 1 (b) 2 (c) 1/2 (d) 0
Solution:-
(a) 1
As,
Reciprocal of
1
1
= 1
6. The reciprocal of 1/2 is
(a) 3 (b) 2 (c) – 1 (d) 0
Solution:-
(b) 2
The reciprocal of
1
2
=
2
1
7. The standard form of –48/60 is
(a) 48/60 (b) –60/48 (c) -4/5 (d) -4/-5
Solution:-
(c)
4
5
-
The standard form =
48
60
-
Dividing both numerator and denominator by 12,
48
60
-
=
4
5
-
8. Which of the following is equivalent to 4/5?
(a) 5/4 (b) 16/25 (c) 16/20 (d) 15/25
Solution: –
(c)
16
20
4
5
=
44
54
?
?
=
16
20
9. How many rational numbers are there between two rational numbers?
(a) 1 (b) 0 (c) unlimited (d) 100
Solution:-
(c) Unlimited
10. In the standard form of a rational number, the denominator is always a
(a) 0 (b) negative integer (c) positive integer (d) 1
Solution:-
(c) Positive integer
A rational number is said to be in the standard form, if its denominator is a positive integer.
11. To reduce a rational number to its standard form, we divide its
numerator and denominator by their
(a) LCM (b) HCF (c) product (d) multiple
Solution:-
(b) HCF
12. Which is greater number in the following:
(a) –1/2 (b) 0 (c) 1/2 (d) – 2
Solution:-
(c)
1
2
In Questions 13 to 46, fill in the blanks to make the statements true.
13. – (3/8) is a ______ rational number.
Page 4
Exercise
In each of the following questions 1 to 12, there are four options,
out of which, only one is correct. Write the correct one.
1. A rational number is defined as a number that can be expressed in the
form p/q , where p and q are integers and
(a) q = 0 (b) q = 1 (c) q ? 1 (d) q ? 0
Solution:-
(d) q ? 0
A number that can be expressed in the form
p
q
, where p and q are integers and q ? 0, is
called a rational number.
2. Which of the following rational numbers is positive?
(a) –8 / 7 (b) 19 /–13 (c) –3 /–4 (d) –21/13
Solution:-
(c)
3
4
-
-
When the numerator and denominator both are positive integers or both are negative integers,
it is a positive rational number.
3. Which of the following rational numbers is negative?
(a) –(–3/– 7) (b) –5/–8 (c) 9/8 (d) 3/–7
Solution:-
(d)
3
7 -
When either the numerator or the denominator is a negative integer, it is a negative rational
number.
4. In the standard form of a rational number, the common factor of
numerator and denominator is always:
(a) 0 (b) 1 (c) – 2 (d) 2
Solution:-
Chapter - 8
Rational Numbers
(b) 1
A rational number is said to be in the standard form, if its denominator is a positive integer
and the numerator and denominator have no common factor other than 1.
5. Which of the following rational numbers is equal to its reciprocal?
(a) 1 (b) 2 (c) 1/2 (d) 0
Solution:-
(a) 1
As,
Reciprocal of
1
1
= 1
6. The reciprocal of 1/2 is
(a) 3 (b) 2 (c) – 1 (d) 0
Solution:-
(b) 2
The reciprocal of
1
2
=
2
1
7. The standard form of –48/60 is
(a) 48/60 (b) –60/48 (c) -4/5 (d) -4/-5
Solution:-
(c)
4
5
-
The standard form =
48
60
-
Dividing both numerator and denominator by 12,
48
60
-
=
4
5
-
8. Which of the following is equivalent to 4/5?
(a) 5/4 (b) 16/25 (c) 16/20 (d) 15/25
Solution: –
(c)
16
20
4
5
=
44
54
?
?
=
16
20
9. How many rational numbers are there between two rational numbers?
(a) 1 (b) 0 (c) unlimited (d) 100
Solution:-
(c) Unlimited
10. In the standard form of a rational number, the denominator is always a
(a) 0 (b) negative integer (c) positive integer (d) 1
Solution:-
(c) Positive integer
A rational number is said to be in the standard form, if its denominator is a positive integer.
11. To reduce a rational number to its standard form, we divide its
numerator and denominator by their
(a) LCM (b) HCF (c) product (d) multiple
Solution:-
(b) HCF
12. Which is greater number in the following:
(a) –1/2 (b) 0 (c) 1/2 (d) – 2
Solution:-
(c)
1
2
In Questions 13 to 46, fill in the blanks to make the statements true.
13. – (3/8) is a ______ rational number.
Solution:-
3
8
-
is a negative rational number.
14. 1 is a ______ rational number.
Solution:-
1 is a positive rational number.
15. The standard form of –8/–36 is ______.
Solution:-
The standard form of
8
36
-
-
is
2
9
As,
8
36
-
-
=
8
36
Now,
Dividing both numerator and denominator by 4.
8
36
=
2
9
16. The standard form of 18/–24 is ______.
Solution:-
The standard form of
18
24 -
is
3
4
-
.
17. On a number line, –1/2 is to the ______ of zero (0).
Solution:-
On a number line,
1
2
-
is to the left of zero (0).
On a number line, rational number comes to the left of the zero (0) are the negative rational
numbers and rational numbers are coming to the right of the zero (0) are the positive rational
numbers.
Page 5
Exercise
In each of the following questions 1 to 12, there are four options,
out of which, only one is correct. Write the correct one.
1. A rational number is defined as a number that can be expressed in the
form p/q , where p and q are integers and
(a) q = 0 (b) q = 1 (c) q ? 1 (d) q ? 0
Solution:-
(d) q ? 0
A number that can be expressed in the form
p
q
, where p and q are integers and q ? 0, is
called a rational number.
2. Which of the following rational numbers is positive?
(a) –8 / 7 (b) 19 /–13 (c) –3 /–4 (d) –21/13
Solution:-
(c)
3
4
-
-
When the numerator and denominator both are positive integers or both are negative integers,
it is a positive rational number.
3. Which of the following rational numbers is negative?
(a) –(–3/– 7) (b) –5/–8 (c) 9/8 (d) 3/–7
Solution:-
(d)
3
7 -
When either the numerator or the denominator is a negative integer, it is a negative rational
number.
4. In the standard form of a rational number, the common factor of
numerator and denominator is always:
(a) 0 (b) 1 (c) – 2 (d) 2
Solution:-
Chapter - 8
Rational Numbers
(b) 1
A rational number is said to be in the standard form, if its denominator is a positive integer
and the numerator and denominator have no common factor other than 1.
5. Which of the following rational numbers is equal to its reciprocal?
(a) 1 (b) 2 (c) 1/2 (d) 0
Solution:-
(a) 1
As,
Reciprocal of
1
1
= 1
6. The reciprocal of 1/2 is
(a) 3 (b) 2 (c) – 1 (d) 0
Solution:-
(b) 2
The reciprocal of
1
2
=
2
1
7. The standard form of –48/60 is
(a) 48/60 (b) –60/48 (c) -4/5 (d) -4/-5
Solution:-
(c)
4
5
-
The standard form =
48
60
-
Dividing both numerator and denominator by 12,
48
60
-
=
4
5
-
8. Which of the following is equivalent to 4/5?
(a) 5/4 (b) 16/25 (c) 16/20 (d) 15/25
Solution: –
(c)
16
20
4
5
=
44
54
?
?
=
16
20
9. How many rational numbers are there between two rational numbers?
(a) 1 (b) 0 (c) unlimited (d) 100
Solution:-
(c) Unlimited
10. In the standard form of a rational number, the denominator is always a
(a) 0 (b) negative integer (c) positive integer (d) 1
Solution:-
(c) Positive integer
A rational number is said to be in the standard form, if its denominator is a positive integer.
11. To reduce a rational number to its standard form, we divide its
numerator and denominator by their
(a) LCM (b) HCF (c) product (d) multiple
Solution:-
(b) HCF
12. Which is greater number in the following:
(a) –1/2 (b) 0 (c) 1/2 (d) – 2
Solution:-
(c)
1
2
In Questions 13 to 46, fill in the blanks to make the statements true.
13. – (3/8) is a ______ rational number.
Solution:-
3
8
-
is a negative rational number.
14. 1 is a ______ rational number.
Solution:-
1 is a positive rational number.
15. The standard form of –8/–36 is ______.
Solution:-
The standard form of
8
36
-
-
is
2
9
As,
8
36
-
-
=
8
36
Now,
Dividing both numerator and denominator by 4.
8
36
=
2
9
16. The standard form of 18/–24 is ______.
Solution:-
The standard form of
18
24 -
is
3
4
-
.
17. On a number line, –1/2 is to the ______ of zero (0).
Solution:-
On a number line,
1
2
-
is to the left of zero (0).
On a number line, rational number comes to the left of the zero (0) are the negative rational
numbers and rational numbers are coming to the right of the zero (0) are the positive rational
numbers.
18. On a number line, 4/3 is to the ______ of zero (0).
Solution:-
On a number line,
4
3
is to the right of zero (0).
On a number line, rational number comes to the left of the zero (0) are the negative rational
numbers and rational numbers are coming to the right of the zero (0) are the positive rational
numbers.
19. – (1/2) is ______ than 1/5.
Solution:-
1
2
-
is smaller than
1
5
.
20. – (3/5) is ______ than 0.
Solution:-
3
5
-
is smaller than 0.
21. –16/24 and 20/–16 represent ______ rational numbers.
Solution:-
16
24
-
and
20
16 -
represent different rational numbers.
22. –27/45 and –3/5 represent ______ rational numbers.
Solution:-
27
45
-
and
3
5
-
represent same rational numbers.
23. Additive inverse of 2/3 is ______.
Solution:-
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