Rational and Irrational Numbers

In among number theory.... Rational and Irrational Numbers plays an important role... This will help us understand all about number system and its functions in mathematical terms.

Rational Number -

The rational numbers can be expressed as terminating or recurring decimals.
Decimal fraction has denominator as 10 or a power of 10. A recurring decimal is denoted by placing dots or a bar over recurring digits.

Irrational Number -

Under number theory, numbers which are not rational are called irrational numbers. When expressed as decimals, they are non-terminating and non-recurring. We can obtain infinite number of irrationals between two irrational numbers

Summary -

1. Problems involving rational numbers are simplified using 'BODMAS' rule.

2. A rational number can be represented in the decimal form.

3. When a rational number is represented as a decimal, it will be either a terminating decimal or a recurring decimal.

4. All rational and irrational numbers can be marked on the number line.

5. Numbers with surds in the denominator are supposed to be simplified by rationalising their denominators

This is only the brief introduction to number theory. After reading this .. i am very sure that .. you would love to learn more and get help on math... keep reading and leave your valuable comments.... may be in the next lesson let me help you go through on Algebra Problems