To determine which of the given numbers is rational, we need to identify whether each one can be expressed as a fraction of two integers (i.e., in the form \( \frac{a}{b} \) where \( a \) and \( b \) are integers and \( b \neq 0 \)).
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0.23242526...: This number appears to be a non-repeating decimal. Non-repeating decimals are irrational numbers.
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0.98989898...: This is a repeating decimal (it repeats the digits "98"). Repeating decimals can be expressed as fractions, so they are rational.
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2√/4: This expression simplifies to \( \frac{\sqrt{2}}{4} \). The square root of 2 is an irrational number, so this entire expression is irrational.
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15−−√: The square root of 15 is also an irrational number.
Thus, the rational number among these options is:
0.98989898...
1 answer