Difference between Real and Rational Numbers | Real vs Rational Numbers

Real vs Rational Numbers

Difference between Real and Rational Numbers: – The mathematics is very useful and interesting, but often create confusion in people to the point that some fear them and avoid them. At school we are regularly told about numbers, but sometimes we do not understand that there are different types of them.

Difference between Real and Rational Numbers

This time we will tell you what is the difference between real and rational numbers is, since it is a fact that should not be forgotten.

Real numbers
Real numbers comprise both rational and irrational numbers. The real number system can be divided into many subsets.

A real number refers to any number that can be found on a number line. The number line can be defined as a geometric line where a point of origin is drawn. The numbers on the right side of the origin are considered as positive numbers, while the numbers on the left side of the origin are considered negative. The infinite does not fall into the real number category. The square root of -1 is not a real number, so it is considered as an imaginary number.

Rational number
A rational number is a number that is determined by a relation that is defined as (p / q), where p represents some integer and q a natural number other than zero.

These numbers constitute a subset of the real numbers. On the other hand, real numbers that cannot be expressed as the quotient of two integers are called irrational numbers.

Key differences between rational number and real number

  • The real numbers can be rational or irrational and can take any value expressed on a number line; while the rational numbers are those that can be expressed as a fraction, but with a denominator other than zero.
  • Real numbers include (but are not limited to): positive, black, integer, rational numbers, square roots, cubic roots. Rational numbers include: 3/4 as a fraction form. Root square of 16, which would be 4 and could be expressed as 4/1. The decimal repeats are rational, example: 0.777777.
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