Exercise · ZW-DENSITY-OF-THE-RATIONALS-002 · ★☆☆ Basic
Which rational lies between \(\tfrac13\) and \(\tfrac12\)?
Choose one option.
Show answer
- C. \(\tfrac25\)
Explanation
\(\tfrac25=0.4\) and \(0.333\ldots<0.4<0.5\). \(\tfrac13\) is the endpoint and \(\tfrac35=0.6\) exceeds it.
Review the concept: Density of the rationals
Property of the rationals \(\mathbb Q\) inside the reals: between any two distinct reals \(a<b\) there is always a rational \(q\).
\[a
More practice problems: density of the rationals
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