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Is 10.49510.495 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 10.49510.495 a rational number?\newlineChoices:\newline(A) yes\newline(B) no
  1. Analyze Number 1010.495495: Step 11: Analyze the number 10.49510.495.\newline10.49510.495 has exactly three digits after the decimal point, which indicates it is a terminating decimal.
  2. Terminating Decimals: Step 22: Determine if terminating decimals are rational.\newlineA decimal that terminates is considered a rational number because it can be expressed as a fraction with a denominator that is a power of 1010.
  3. Conclude Rational Number: Step 33: Conclude based on the properties of rational numbers.\newlineSince 10.49510.495 is a terminating decimal, it can be expressed as 104951000\frac{10495}{1000}, which is a fraction of two integers. Therefore, 10.49510.495 is a rational number.

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