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Practice each question, then open the answer or worked solution.
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.
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.
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.
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:-
(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.
Which of the following rational numbers is equal to its reciprocal?
(a) 1 (b) 2 (c) ½ (d) 0
Solution:-
(a) 1
We know that, the numerator and denominator have no common factor other than 1.
So. 1/1
Reciprocal of 1/1 = 1
The reciprocal of ½ is
(a) 3 (b) 2 (c) – 1 (d) 0
Solution:-
(b) 2
The reciprocal of ½ = 2/1
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 of -48/60 is = (-4/5)
Divide both numerator and denominator by 12
= -4/5
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 is equivalent = (4 × 4)/(5 × 4)
= 16/20
How many rational numbers are there between two rational numbers?
(a) 1 (b) 0 (c) unlimited (d) 100
Solution:-
(c) unlimited
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.