How can you classify the results of operations on real numbers

We can classify the result of operation on real number into rational and irrational numbers.

Further details:

We already know that all counting numbers are whole numbers, all whole numbers are integers, and all integers are rational numbers. Irrational numbers are a distinct category of their own. When we put together the rational numbers and the irrational numbers, we get the set of real numbers.

Rational numbers:

Any quantity that can be written as a fraction a/b where a and b are integers and b is not equal to zero are called rational numbers. These comprise all the integers, any finite decimals, or repeating decimals (decimals that have a pattern).

Irrational numbers:

Any number that can't be written as a/b are measured irrationals. They can be printed in decimal, but they go on constantly without any pattern (And there is a way to prove this).

All of the rational numbers and irrational numbers are measured real numbers. It must be notice here that all these numbers lie on a straight number and any number that lie outside the number line is not real number.  For instance, we can extend the 1-D line to 2-D plane with complex numbers on it.

Answer details:

Subject: Mathematics

Level: High school

Keywords:

•Real numbers

•Classification of real number

•Rational number

•Irrational numbers

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