Question

State whether the following statements are true or false. Justify your answer. Every rational number is a real number.

Answer 1

Hint: For solving this problem, the basic knowledge of rational numbers is required. When we have clarity about rational numbers, we can easily determine the truth value of the statement.

Complete step-by-step answer:
In mathematics, the number system is the branch that deals with various types of numbers possible to form and easy to operate with different operators such as addition, multiplication and so on.
Rational numbers are those numbers which can be represented in the form of $\dfrac{p}{q}$, where p is the numerator and q is the denominator. P and Q may belong to any of the three categories such as natural, whole or integers.
Four major types of numbers can be classified as:
Natural numbers, whole numbers, integers, and rational numbers. Irrational numbers come under the category of imaginary numbers.
The family that contains all these number classes is called real number. So, any number which we can imagine is a real number.
Therefore, the statement is true.

Note: The key step for solving this problem is the knowledge of the number system and particularly rational and real numbers. The basic idea of the rational and real number system is good enough to solve both the parts. This problem is intended to increase the knowledge catalogue of students.