Question

What are similarities between, rational and irrational numbers?

Answer 1

Answer:

The similarities between rational and irrational numbers are defined below,

Step-by-step explanation:

Rational Numbers: The numbers which can be expressed in the form of $\frac{p}{q}$ , where p and q are integers and q is not equal to 0.

Irrational Numbers: The number which can't be expressed in the form of $\frac{p}{q}$ are called irrational numbers.

The similarities between rational and irrational numbers are:

1. Both rational and irrational numbers are belong to real numbers.

2. There exist rational numbers between any two rational numbers similarly there exist irrational numbers between any two irrational numbers.

3. The sum of two rational numbers is a rational number and the sum of two irrational numbers is an irrational number.

4. The difference of two rational numbers is a rational number and the difference of two irrational numbers is an irrational number.

Answer 2

Rational number are numbers which can be expressed in a ratio of two integers. Both numerator and denominator are whole numbers, where the denominator is not equal to zero.
An irrational number on the other hand is a number which cannot be expressed in a ratio of two integers. However there are similarities between them. For example: the product of both irrational numbers of born rational numbers can be rational number, both irrational and rational numbers can be negative and positive, and both can be expressed as a fraction.