Difference between revisions of "Terminating decimal expansions"
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* Terminating decimal expansion | * Terminating decimal expansion | ||
* [[Non-terminating recurring decimal expansions|Non-terminating recurring decimal expansion]] | * [[Non-terminating recurring decimal expansions|Non-terminating recurring decimal expansion]] | ||
* Non-terminating non-recurring decimal expansion | * [[Non-terminating recurring decimal expansions|Non-terminating non-recurring decimal expansion]] | ||
A number has a terminating decimal expansion if the digits after the decimal point terminate or are finite. The fraction <math>\frac{1}{2}</math> has the decimal expansion of 0.5, which is a terminating decimal expansion because digits after the decimal point end after one digit. | A number has a terminating decimal expansion if the digits after the decimal point terminate or are finite. The fraction <math>\frac{1}{2}</math> has the decimal expansion of 0.5, which is a terminating decimal expansion because digits after the decimal point end after one digit. | ||
Terminating decimals are [[Rational Numbers|rational numbers]]. | Terminating decimals are [[Rational Numbers|rational numbers]]. | ||
Latest revision as of 10:35, 4 May 2024
Terminating decimals are the numbers that have a fixed or a finite number of digits after the decimal point. Decimal numbers are used to represent the partial amount of whole, just like fractions.
Definition
The number which has a finite number of digits after the decimal point is referred to as a terminating decimal. Decimals are used to express the whole number and fraction together that is separated from each other by inserting a "." i.e. a decimal point. For example, 10.4, 10 is the whole number and 4 is the decimal fraction. There are different categories of decimals depending on what type of digits occur after the decimal point, they are:
- Terminating decimal expansion
- Non-terminating recurring decimal expansion
- Non-terminating non-recurring decimal expansion
A number has a terminating decimal expansion if the digits after the decimal point terminate or are finite. The fraction has the decimal expansion of 0.5, which is a terminating decimal expansion because digits after the decimal point end after one digit.
Terminating decimals are rational numbers.