To determine which number is rational, let's analyze each option:
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0.23242526... - This number has a non-repeating, non-terminating decimal, which is likely an irrational number.
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2√4 - This simplifies to 2 * 2 = 4, which is a rational number.
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The fraction with numerator square root of 2 and denominator 4 (which can be represented as \(\frac{\sqrt{2}}{4}\)) - This is irrational since \(\sqrt{2}\) is an irrational number, and dividing an irrational number by a rational number still results in an irrational number.
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0.98989898... - This is a repeating decimal, which can be expressed as the fraction \(\frac{98}{99}\), making it a rational number.
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15−−√ - The square root of 15 is an irrational number.
Given this analysis, both 2√4 (which equals 4) and 0.98989898... are rational numbers. However, since you are looking for a single answer:
The best answer would be 0.98989898... as it is explicitly a repeating decimal that confirms its rational nature, but 2√4, which is equal to 4, is also rational.
Thus, the most straightforward answer is 0.98989898....
1 answer