help
2007-04-07 10:38:47 · 14 answers · asked by erick 1 in Science & Mathematics ➔ Mathematics
All irrational numbers are real.
2007-04-07 10:49:26 · answer #1 · answered by Ronald McDonald 2 · 1⤊ 1⤋
Yes, irrational numbers are also real numbers. The definition of a rational number is "any number that can be written as a fraction where the numerator and denominator are integers and the denominator does not equal zero".
For example:
.33333333... can be written as 1/3 or the number 5 can be written as 5/1
Irrational numbers look like this:
.17536597357123058103580128... (it goes on and on forever with random numbers) or the (sq.rt.)2, but irrational numbers are still real.
Let me try to make you a flow chart of number systems here. Pay attention to where the arrows go:
irrational #s
and then imaginary numbers are in a separate category by themselves.
I hope that helps. :)
2007-04-07 18:01:19 · answer #2 · answered by purplegrl28 4 · 0⤊ 0⤋
Of course. If it appears on the real number line, then it's real. If it can't be written as a fraction of whole numbers, then it's irrational. Ï, e, and â2 are all real and irrational.
I suppose an example of a number that is irrational but not real is the root of x² = -2. But then again, "i" isn't an integer, so by definition even a number like 2i/3 isn't "rational". So I guess imaginary numbers can't be considered "rational". It would be a little misleading to call all imaginary numbers "irrational" though.
2007-04-07 17:50:19 · answer #3 · answered by Anonymous · 0⤊ 0⤋
Yes, a real number is a number is not the root of a negative number. An irrational number is a number that cannot be expressed as a fraction. Pi is a great example; it is real but it is also irrational.
2007-04-07 19:05:45 · answer #4 · answered by j 4 · 0⤊ 0⤋
Yes. The real number are the rational numbers and the irrational numbers - both sets. Both 3 and â2 are real numbers.
2007-04-07 17:45:00 · answer #5 · answered by Anonymous · 0⤊ 0⤋
Real numbers fall into 2 categories: Rational and Irrational. The answer is yes.
2007-04-07 17:52:48 · answer #6 · answered by ironduke8159 7 · 0⤊ 0⤋
Yes. Pi is real but irrational.
In fact the majority of real numbers are irrational.
2007-04-07 17:45:04 · answer #7 · answered by jrome 2 · 0⤊ 0⤋
Yes, all irrational numbers are also real numbers.
2007-04-07 17:45:25 · answer #8 · answered by momolala 4 · 0⤊ 0⤋
All irrational numbers are real. The only thing that makes a number imaginary is if it's not on the number line, such as sqrt(-4)
2007-04-07 17:54:30 · answer #9 · answered by MLBfreek35 5 · 1⤊ 1⤋
Sure: â2 is both real and irrational. So is Ï.
2007-04-07 20:43:12 · answer #10 · answered by steiner1745 7 · 0⤊ 0⤋