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30 votes
30 votes
Is 2.67034165508… rational or unrational?

User Den Pat
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2 Answers

25 votes
25 votes
Answer- Rational because is a repeating decimal
User BsytKorbi
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2.5k points
9 votes
9 votes

Answer:

Unrational

Explanation:

Step 1: Determine what is rational and unrational

"A rational number includes any whole number, fraction, or decimal that ends or repeats. An irrational number is any number that cannot be turned into a fraction, so any number that does not fit the definition of a rational number."

Step 2: Now determine what our number fits into

Since our decimal isn't a whole number, isn't a fraction, and it is a decimal that continues to either repeat or just continues. Therefore, our number would fit into the unrational category. If our number is just 2.67034165508 then it would be a rational number since it ends. However, since we have the ... at the end that means that it continues and therefore falls into the unrational category.

Answer: Unrational

User Qinmiao
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2.6k points