between any 2 real #'s "a" & "b" there is always another real #. how can you find the other #?
could you possibly find it via the midpoint formula? just a thought.
thanks for the help.
2006-08-28 11:51:06 · 6 answers · asked by shih rips 6 in Science & Mathematics ➔ Mathematics
You could use the midpoint formula. Or you could just choose a number.
So if you had to find a real number between say 3 and 5, you could say 4 (by the midpoint formula) or you could say 3.000001, or 3.498734235, or 4.89384725.
There are an infinite number of real numbers in any real interval.
Good luck =)
2006-08-28 11:56:28 · answer #1 · answered by Jess 2 · 1⤊ 0⤋
Yea. If you're given the numbers, you can use the midpoint formula. A problem would only arise when you might have open intervals, or sets where you can't "choose" a point. If you have a singleton set, choose a number from the set, which is the only element in the set, repeat for the other, and choose it's midpoint as the number in between them.
2006-08-28 11:55:45 · answer #2 · answered by blahkh 1 · 1⤊ 0⤋
Actually, between two real numbers a and b, there are infinite real numbers. The real number line is continuous, which means you can always "zoom in" on a section, and find more real numbers.
2006-08-28 11:56:17 · answer #3 · answered by Noachr 2 · 1⤊ 0⤋
The midpoint formula will work.
http://en.wikipedia.org/wiki/Midpoint
2006-08-28 13:13:21 · answer #4 · answered by btsmith_y 3 · 0⤊ 0⤋
the other number could be found if you do b-a
2006-08-28 11:56:53 · answer #5 · answered by Claire 3 · 0⤊ 0⤋
I'm not smrt.
2006-08-28 11:57:34 · answer #6 · answered by NONAME 2 · 0⤊ 0⤋