correspond to every point on the number line, is there a rational number?

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correspond to every point on the number line, is there a rational number?

2007-09-02 21:28:16 · 2 answers · asked by asker 1 in Science & Mathematics ➔ Mathematics

2 answers

No. Between every pair of rational numbers there is at --least-- one irrational. But then, between every pair of irrationals there is at --least-- one rational.

HTH

Doug

2007-09-02 21:34:35 · answer #1 · answered by doug_donaghue 7 · 0⤊ 0⤋

No, irrational square root of 2 lies between 1 and 2 at some point,
and so other irrational numbers.

2007-09-03 04:33:21 · answer #2 · answered by sv 7 · 0⤊ 0⤋