# SOLUTION: fill in the blank Between every two rational numbers there is another _________ number. Thank you sooo much for all your help!!

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 Algebra: Radicals -- complicated equations involving roots Solvers Lessons Answers archive Quiz In Depth

 Question 21491: fill in the blank Between every two rational numbers there is another _________ number. Thank you sooo much for all your help!!Found 2 solutions by mmm4444bot, khwang:Answer by mmm4444bot(95)   (Show Source): You can put this solution on YOUR website!Hello There: Consider these two rational numbers: 0 and 1. (We can think of them as rational numbers because they can be expressed as 0/1 and 1/1. Between them is the rational number 1/10. Between them is the rational number 1/100. And so it goes; all of these numbers are between 0/1 and 1/1: 1/1000 1/10000 1/100000 1/1000000 Since this goes on forever, we can say that there is a rational number between every two rational numbers. ~ Mark Answer by khwang(438)   (Show Source): You can put this solution on YOUR website!Between every two rational numbers there is another _________ number. If a,b are two distinct rational number, then the mid point (a+b)/2 is another rational number between a and b. In fact, there are infinitely many rational (or irrational) numbers beween a and b. The set Q (the set of rationals) is dense in R (reals). Plz forget another answer. Kenny