Terminating Decimals Calculator - Multi-Tools

Terminating Decimals Calculator

About Terminating Decimals

A terminating decimal is a decimal number that has a finite number of digits after the decimal point.

A fraction results in a terminating decimal if and only if its denominator has no prime factors other than 2 and 5.
Examples:
1/2 = 0.5 (terminating)
1/3 = 0.333... (repeating)
1/4 = 0.25 (terminating)
1/5 = 0.2 (terminating)
Properties:
  • Denominator must have only 2 and 5 as prime factors
  • Number of decimal places equals the maximum power of 2 or 5 in the denominator
  • All terminating decimals can be written as fractions
  • Terminating decimals are rational numbers
Applications:
  • Financial calculations
  • Measurement conversions
  • Precision engineering
  • Computer arithmetic
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