QuestionAugust 26, 2025

Which decimal represents a rational number? 0.overline (37) A decimal that continues without pattern pi sqrt (5)

Which decimal represents a rational number? 0.overline (37) A decimal that continues without pattern pi sqrt (5)
Which decimal represents a rational number?
0.overline (37)
A decimal that continues without pattern
pi 
sqrt (5)

Solution
4.0(265 votes)

Answer

0.\overline{37} represents a rational number. Explanation 1. Identify Rational Numbers A rational number can be expressed as a fraction of two integers. Repeating decimals like 0.\overline{37} are rational because they have a repeating pattern and can be converted into a fraction. 2. Evaluate Other Options A decimal that continues without pattern is irrational, as it cannot be expressed as a fraction. \pi and \sqrt{5} are also irrational numbers.

Explanation

1. Identify Rational Numbers<br /> A rational number can be expressed as a fraction of two integers. Repeating decimals like $0.\overline{37}$ are rational because they have a repeating pattern and can be converted into a fraction.<br /><br />2. Evaluate Other Options<br /> A decimal that continues without pattern is irrational, as it cannot be expressed as a fraction. $\pi$ and $\sqrt{5}$ are also irrational numbers.
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