is 573.1999999..... a rational or irrational number?
2007-07-09 05:49:32 · 5 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
That's a rational number because it has a recurring decimal.
It's actually the same number as 573.2
2007-07-09 05:53:01 · answer #1 · answered by Dr D 7 · 4⤊ 0⤋
Hey there!
The number is rational. Even though there is a 1 before the continuous 9s, the 9s repeat, and if a decimal has a repeating digits, the number is rational. If the number, such as pi, has nonrepeating digits, the number is irrational. Repeating decimals can be converted into fractions.
The above number, that is 573.199999999...... rounds off to 573.2, since the number is approaching closer to 573.2.
Hope it helps!
2007-07-09 12:58:41 · answer #2 · answered by ? 6 · 0⤊ 2⤋
I'm pretty sure thats a rational number
another example would be ... 1/3= .33333333
if it can be expressed in a fraction it's rational
2007-07-09 12:57:08 · answer #3 · answered by Ren B 1 · 0⤊ 0⤋
That's a rational number, because if the sequence of 9s is infinite (I'm assuming that's what you meant), then, by the definition of real numbers as a continuum, the following is true:
573.19999999... = 573.2
This can be represented as the ratio of two integers:
2866 / 5
And is thus a RATIOnal number.
2007-07-09 12:55:28 · answer #4 · answered by lithiumdeuteride 7 · 3⤊ 0⤋
rational, digits repeat...
2007-07-09 12:59:58 · answer #5 · answered by brother Mohammed 2 · 0⤊ 0⤋