Decimal Representation of Rational Numbers

# Decimal Representation of Rational Numbers

• Decimal Representation of Rational Numbers
• Summary
• What’s Next?

In the previous segment, we saw Different Categories of Numbers that come under Real Numbers. In this segment let us see the Decimal Representation of Rational Numbers.

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## What is the Decimal representation of rational numbers?

A rational number is a number that can be expressed as ?, where ? ≠ 0

?

There are different types in which a rational number can be written in a decimal form.

There are two broad categories: Terminating decimals and Non-Terminating decimals. Non-Terminating is again classified into two types: Recurring decimals and Non-Recurring decimals.

Decimal Forms

Terminating decimals and non-terminating recurring decimals together form rational numbers.

Non-terminating non-recurring decimals cannot be expressed as $\frac{p}{q}$ and hence, they are not rational numbers.

Summary

 Rational Numbers Terminating decimals

## Related content

 What are Rational Numbers? What are Recurring Decimal Numbers? How can we tell if a Rational Number is a Terminating or a Non-Terminating Recurring Decimal? How do we Write a Terminating Decimal in the form P by Q? How do we Write a Non- Terminating Recurring Decimal in the form P by Q? Part 1 How do we Write a Non- Terminating Recurring Decimal in the form P by Q? Part 2 How do we Write a Non- Terminating Recurring Decimal in the form P by Q (Shortcut)? Part 3