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Is 6.3956.395 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 6.3956.395 a rational number?\newlineChoices:\newline(A) yes\newline(B) no
  1. Analyze number 66.395395: Step 11: Analyze the number 6.3956.395.\newline6.3956.395 has exactly 33 digits after the decimal point, which indicates it is a terminating decimal.
  2. Determine rationality of 6.3956.395: Step 22: Determine if 6.3956.395 is rational or irrational.\newlineA rational number can be expressed as a fraction with integers in the numerator and a non-zero integer in the denominator. Since 6.3956.395 is a terminating decimal, it can be expressed as a fraction (6395/1000)(6395/1000).
  3. Conclude based on properties: Step 33: Conclude based on the properties of rational numbers.\newlineSince 6.3956.395 can be expressed as a fraction and it terminates, it is a rational number.

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