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Nature of the decimal expansion of ratio...

Nature of the decimal expansion of rational numbers

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Decimal Expansion of Rational Number

In this chapter, we will study the decimal expansion of rational numbers. Students would be able to get the right understanding of the expansion of rational numbers. Before we discuss the representation of the decimal expansion of rational numbers, we should first try to understand what is a rational number. Numbers that can be presented in the form of p/q where p and q are integers and q ≠ 0 are termed as rational numbers. Here, the numbers which are simplified further, they result in decimals. We will now learn how to expand such decimals. For example, 5, -7.2, 2/3 are some examples of rational numbers.

Decimal expansion

We can try to consider the number of 44.4444 which happens to be a rational number. It can be represented in the form of 100/4. We can see that the decimal part .444 proves to be the non-terminating repeating part for which it is termed as a recurring decimal number.

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