2007-08-21 04:33:42 · 8 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
This number is irrational. Although it has a pattern, the pattern is not a simple set of digits that repeat in the same order over and over.
If you have a neverending decimal, your number is rational just when the decimal eventually enters a repeating sequence. Your number does not repeat, so it is not rational (even though it follows a pattern).
To clarify a bit, these numbers are rational:
0.123123123123...
0.1234556556556556556...
0.78425784257842578425...
Each eventually ends up as a sequence of digits that repeat themselves in the same order forever.
The following numbers are irrational:
0.12112111211112111112...
0.112111122111111222111111112222...
0.616611666111666611116...
2007-08-21 04:38:32 · answer #1 · answered by Anonymous · 0⤊ 0⤋
It is irrational. To be considered rational the number has to either repeat or terminate. It seems like the numbers are following a pattern, but they have to repeat like .4569333222333222333222... or something
2007-08-21 11:41:27 · answer #2 · answered by dudas_91 4 · 0⤊ 0⤋
It is irrational, because it does not repeat (that is to say it does not equal any finite fraction). The fact that it is composed of a very simple series doesn't change the fact that it does not repeat and must be irrational.
2007-08-21 11:40:18 · answer #3 · answered by Anonymous · 0⤊ 0⤋
Irrational. It does not repeat despite the fact that there is a pattern
2007-08-21 11:38:30 · answer #4 · answered by dogsafire 7 · 0⤊ 0⤋
Hey there!
It's irrational. The digits of the decimal do not terminate, since the digits are continuing on and on, infinitely. The digits of the decimal do not repeat, since they are not going in a repeating sequence i.e. 0.1212121212 ...
So, it's irrational.
Hope it helps!
2007-08-21 12:06:03 · answer #5 · answered by ? 6 · 0⤊ 0⤋
it's an irrational no. since it continues and never ends
therefore it can't b expressed in the form of a/b where b is not equal to 0
:)
2007-08-21 11:39:43 · answer #6 · answered by ? 2 · 0⤊ 0⤋
It doesn't terminate, and doesn't repeat. That means it is irrational.
To be clear: The numbers *don't* repeat. The pattern is clear: 6, 1, 66, 11, 666, 111, and so on.
.
2007-08-21 11:38:19 · answer #7 · answered by Anonymous · 1⤊ 0⤋
irrational
though the numbers repeat they are not of the same order
2007-08-21 11:38:06 · answer #8 · answered by Shenya 2 · 0⤊ 1⤋