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17) Determine if the number is rational (R) or irrational (I)

17) Determine if the number is rational (R) or irrational (I)-example-1
User Petelids
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1 Answer

6 votes

Given the number:


71.\bar{5186}

You can identify that there is a line about the first four decimal digits. That indicates that is a Repeating Decimal or Recurring Decimals.

Repeating Decimals are defined as those numbers whose decimal part becomes periodic.

By definition, Rational Numbers are those numbers that can be written as a simple fraction whose numerator and denominator are both integers.

By definition, Repeating Decimals are Rational Numbers.

Hence, the answer is: It is a Rational Number.

User Saintedlama
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