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WordNet-Online
Definitions from WordNet
Noun repeating decimal has 1 sense
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Definitions from the WebRepeating DecimalDescriptionA repeating decimal is a decimal number that has a series of digits that repeat indefinitely. It occurs when the fraction part of a decimal cannot be expressed as a finite decimal and instead forms a repeating pattern. SensesSense 1: Mathematical RepresentationIn mathematics, a repeating decimal is often represented using a special notation where the repetend (the repeating pattern) is denoted by placing a bar over the digits that repeat. For example, the repeating decimal 0.333... can be written as 0.3̅3̅. Sample sentence: The number 1/3 can be represented as the repeating decimal 0.3̅3̅. Sense 2: Repeating Decimal ExpansionRepeating decimals are commonly encountered when converting fractions to decimal form. Some fractions, such as 1/7, result in repeating decimal expansions. Sample sentence: The fraction 1/7 can be converted to a repeating decimal, which is 0.142857̅. Sense 3: Calculations with Repeating DecimalsPerforming calculations involving repeating decimals may require rounding or truncation to a specific number of decimal places in order to obtain accurate results. Sample sentence: When multiplying two repeating decimals, it is important to round the result appropriately to maintain accuracy. UsagesUsage 1: MathematicsIn the field of mathematics, repeating decimals are studied in number theory and decimal arithmetic. Sample sentence: The concept of repeating decimals is integral to the study of irrational numbers. Usage 2: Daily LifeRepeating decimals are encountered in everyday life, such as when dealing with measurements, financial calculations, or converting units. Sample sentence: When converting currency, it is essential to consider any repeating decimals that may arise in exchange rates. Related Products on AmazonHere are some related products available on Amazon: | ||||
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