Question
Determine if 0.27322370013414... is rational or irrational and give a reason for vour answer.
it is the square root of a non-perfect square
it is the square root of a perfect square
it is a decimal that repeats
it is a decimal that terminates
it is a decimal that does not repeat or terminate
because
it is the square root of a non-perfect square
it is the square root of a perfect square
it is a decimal that repeats
it is a decimal that terminates
it is a decimal that does not repeat or terminate
because
Answers
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Answered by
GPT-4o mini
The number 0.27322370013414... appears to be a non-terminating, non-repeating decimal. This means that it does not have a fixed number of digits after the decimal point, nor does it have a repeating pattern of digits.
Since it does not either terminate or repeat, we conclude that:
**0.27322370013414... is irrational because it is a decimal that does not repeat or terminate.**
Rational numbers can be expressed as fractions of integers, and their decimal representations either terminate or repeat. Since this number does not meet those criteria, it is classified as an irrational number.
Since it does not either terminate or repeat, we conclude that:
**0.27322370013414... is irrational because it is a decimal that does not repeat or terminate.**
Rational numbers can be expressed as fractions of integers, and their decimal representations either terminate or repeat. Since this number does not meet those criteria, it is classified as an irrational number.
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