Rational Numbers

Question 1: What do we mean by rational numbers explain with examples.

Answer:

Numbers that are written in the form of  p/q, where p and q are integers, and q does not equal 0 are called rational numbers. Few examples of rational numbers are 2/3, -5/1, 11/7, etc.

Question 2: Write the difference between rational and irrational numbers.
Answer: 

Rational numbers can be expressed in the form of p/q where p and q are integers, eg 2, 3/2, etc, whereas irrational numbers cannot be expressed in form of p/q like, π, e, etc are irrational numbers.

Question 3: Can 0 be considered a rational number?

Answer:

Yes, 0 can be considered a rational number because it can be written in form such as 0/1 which is comparable to p/q where q is a non-zero integer.

Question 4: Can 3.14 be considered a rational number?

Answer:

Yes, 3.14 can be considered a rational number because it can be written in of 314/100 which is comparable to p/q where q is a non-zero integer.

Question 5: Find an irrational number between 3 and 4.

Answer:

An irrational number between 3 and 4 is π. π is an irrational number because it can not be represented in the form of p/q.

In mathematics, a rational number is a type of real number that is in the form of p/q, where p and q are integers and q ≠ 0. The term “rational” is extracted from the word “ratio”. So, any fraction that represents a ratio and that has a non-zero denominator is said to be a rational number. 1/3, 2/5, 3/8, 5/11, etc. are some of the examples of rational numbers. Even “0” is also a rational number, as we can express it in many forms, such as 0/1, 0/2, 0/3, 0/4, and so on. However, fractional numbers with zero in the denominator are irrational, as they give us infinite values. For example, 1/0, 2/0, 3/0, 4/0, etc. are not rational numbers.