0.12 and -0.17 I think it's rational, seeing as it's higher than 0, but clarification is appreciated.
2007-10-29 11:35:21 · 8 answers · asked by Selene 1 in Science & Mathematics ➔ Mathematics
Any integer (e.g. -5, 0, 27), any fraction (e.g. ½), any decimal (0.572, -43.7) and any repeating decimal (e.g. 0.4545..., 0.3333...) is *rational*
That's because it can be written as a *ratio* of integers.
In your example:
0.12 = 12/100 = 3/25
-0.17 = -17/100
In my examples:
-5 = -5/1
0 = 0/1
27 = 27/1
½ = 1/2
0.572 = 572/1000 = 143/250
-43.7 = -473/10
0.4545... = 45/99 = 15/33
0.3333... = 1/3
The exception to the decimal rule is if it goes on forever without repeating. For example, the decimal value of π starts 3.141592653... but it never repeats. Similarly √2 = 1.41421356... never repeats. Numbers like π, e, √2, √5, log 7, etc. are irrational.
But your examples are both *rational*.
2007-10-29 11:38:50 · answer #1 · answered by Puzzling 7 · 0⤊ 0⤋
I don't see how you can think that -0.17 is "higher" than 0.
Just because a number is larger or smaller than 0, has nothing to do with if it is rational or not. A rational number is any number that you can write down with a finite number of digits, or as the ratio of two numbers.
If it takes an infinite number of digits, and you can't write it as a fraction or ratio of two numbers, then it's not rational.
2007-10-29 18:40:38 · answer #2 · answered by morningfoxnorth 6 · 0⤊ 0⤋
whenever you can express a number in terms of a fraction it is rational,
0.12 = 12/100
-0.17 = -17/100
both are rational numbers
2007-10-29 18:38:59 · answer #3 · answered by landonastar 3 · 0⤊ 0⤋
Yes, 0.12 and -0.17 are Rational numbers (number that can be written as fractions) okay? :)
2007-10-29 18:44:04 · answer #4 · answered by Anonymous · 0⤊ 0⤋
Both of these numbers are rational. A rational number is a number that never ends or repeat.
Ex: pi (Ï) is an irrational number
(3.141592653589793238462643383279502884197169399375105820974944592307816406286208998628034825342117067982148086513282306647093844609550582231725359408128481117450284102701938521105559644622948954930381964428810975665933446128475648233786783165271201909145648566923460348610454326648213393607260249141273724587006606315588174881520920962829254091715364367892590360011330530548820466521384146951941511609...)
2007-10-29 18:45:08 · answer #5 · answered by Matt M 2 · 0⤊ 0⤋
If you can rewrite the number as a fraction, it is rational
0.12 = 12/100
-.17 = -17/100
both are rational
2007-10-29 18:38:15 · answer #6 · answered by Linda K 5 · 0⤊ 0⤋
-0.17 = less than 0 . it is negative
2007-10-29 18:39:07 · answer #7 · answered by fkoober 2 · 0⤊ 0⤋
yes it is
2007-10-29 18:39:08 · answer #8 · answered by dt 2 · 0⤊ 0⤋