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Is 6.9496.949 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 6.9496.949 a rational number?\newlineChoices:\newline(A) yes\newline(B) no
  1. Identify decimal type: Step 11: Identify the type of decimal 6.9496.949 is.6.9496.949 has exactly 33 digits after the decimal point and it terminates.
  2. Express as fraction: Step 22: Determine if 6.9496.949 can be expressed as a fraction.\newlineSince 6.9496.949 is a terminating decimal, it can be expressed as a fraction. For example, 69491000.\frac{6949}{1000}.
  3. Conclude rationality: Step 33: Conclude if 6.9496.949 is rational or irrational.\newlineA number that can be expressed as a fraction (ratio of two integers) is a rational number. Therefore, 6.9496.949 is rational.

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