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Is 10.31110.311 a rational number?\newlineChoices:\newline(A) yes\newline(B) no

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Identify rational and irrational numbersright chevron icon

Full solution

Q. Is 10.31110.311 a rational number?\newlineChoices:\newline(A) yes\newline(B) no
  1. Analyze Number 1010.311311: Step 11: Analyze the number 10.31110.311.\newline10.31110.311 has exactly 33 digits after the decimal point, which means it is a terminating decimal.
  2. Terminating Decimals: Step 22: Determine if terminating decimals are rational. A decimal that terminates is always rational because it can be expressed as a fraction with a denominator in the form of 1010 raised to the power of the number of decimal places.
  3. Conclude Rational Number: Step 33: Conclude based on the properties of 10.31110.311. Since 10.31110.311 is a terminating decimal, it is a rational number.

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