Q1
What are rational numbers? Give Examples.
A rational number is a number that is in the form of p/q, where p and q are integers, and q is not equal to 0. Some of the examples of rational numbers include 1/3, 2/4, 1/5, 9/3, and so on.
Q2
What is the difference between rational and irrational numbers?
A rational number is a number that is expressed as the ratio of two integers, where the denominator should not be equal to zero, whereas an irrational number cannot be expressed in the form of fractions. Rational numbers are terminating decimals but irrational numbers are non-terminating and non-recurring. Example of the rational number is 10/2, and for an irrational number is a famous mathematical value Pi(π) which is equal to 3.141592653589…….
Q3
Is 0 a rational number?
Yes, 0 is a rational number because it is an integer that can be written in any form such as 0/1, 0/2, where b is a non-zero integer. It can be written in the form: p/q = 0/1. Hence, we conclude that 0 is a rational number.
Q4
Is 7 a rational number?
7 is a rational number because it can be written in the form of a ratio such as 7/1.
Q5
Is 3.14 a rational number?
Yes, 3.14 is a rational number because it is terminating. But is not a rational number because the exact value of is 3.141592653589793238…which is non terminating non recurring.
Q6
Find a rational number between 3 and 4.
Rational number between 3 and 4 = (3+4)/2
= 7/2
Q7
What is the denominator of the rational number?
The denominator of the rational number can be any real number except 0.
Q8
Is Pi(π) a rational number?
No, Pi (π) is not a rational number. It is an irrational number and its value equals 3.142857…
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