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

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
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