Exercise · ZW-DENSITY-OF-THE-RATIONALS-001 · ★☆☆ Basic
Between any two distinct reals there is always:
Choose one option.
Show answer
- B. a rational
Explanation
This is the density of \(\mathbb Q\): a rational always fits, however close the reals are.
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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- ZW-DENSITY-OF-THE-RATIONALS-004 Is there a positive rational smaller than all the others?
- ZW-DENSITY-OF-THE-RATIONALS-005 Which number lies between 0.999 and 1?
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- ZW-DENSITY-OF-THE-RATIONALS-008 Which of these numbers between 1 and 2 is irrational?
- ZW-DENSITY-OF-THE-RATIONALS-009 Between two reals a<b there are: