Which One of the following has a Terminating Decimal Expansion?

By K Balaji|Updated : October 6th, 2022
  1. 1/6
  2. 17/25
  3. 10/3
  4. 1/11

17/25 is a terminating Decimal Expansion. A decimal number with a finite number of digits after the decimal point is said to have decimal termination.

Why 17/25 is a Terminating Decimal Expansion

  • Terminating decimals, such as 13.2, can be understood as repeated decimals, 13.20000000000, hence the number is typically classified as terminating when the repeating digit is zero.
  • Both of the ending decimals are rational numbers that may be expressed as reduced fractions with denominators that only contain the numbers two or five as prime number variables.
  • 17/25 = 0.68
  • 1/6 = 0.16666666666
  • 10/3 = 3.3333333333
  • 1/11 = 0.0909090909
  • Option (2)'s two digits following the decimal point indicate that this fraction has a finite number, as opposed to other options' infinite numbers.

Summary:

Which one of the following has a terminating Decimal Expansion? - 1. 1/6 2. 17/25 3. 10/3 4. 1/11

The terminating decimal expansion is 17/25. A decimal number is said to have decimal termination if there are a limited number of digits following the decimal point.

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