Is -6.7 a rational number?
2007-01-30 02:40:33 · 19 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
Yes.
A rational number is one that can be written as the ratio of two integers.
-6.7 can be written as (-67/100), among other forms, and is thus a rational number.
2007-01-30 02:45:27 · answer #1 · answered by MamaMia © 7 · 5⤊ 2⤋
Sure it is, because you can write -6.7 as -67/100. The only common examples of irrational numbers are ones like sqrt(2) or pi or e or other things like that. These numbers, when written as decimals go on forever and have no pattern whatsoever.
An interesting thing to think about is whether there are more rational or irrational numbers. Set theory tells us that there is a countably infinite number of rationals but an uncountably infinite number of irrationals. What this means is that if you throw a dart at the number line, you will practically always hit an irrational number.
2007-01-30 04:05:13 · answer #2 · answered by Tony O 2 · 0⤊ 0⤋
Yes, it is. Any number that can be written as a fraction is a rational number.
-67/10 is the same as -6.7
-67/100 is -0.67, these people are dumb. Heh.
So yeah it is a rational number.
2007-01-30 03:23:47 · answer #3 · answered by Anonymous · 1⤊ 0⤋
Laze is correct. "Don't real numbers have to have a value" 0 is a value. "And if it's a real number, it would have to qualify for rational and whole numbers, right?" Not all reals are rational or whole numbers. "Since I guess you can write it as a fraction" Yes, you can. "But what about integers? The definition of an integer is a whole number that has a opposite on the number line" No, although 0 can be seen as its own opposite. "Integer" can be defined different ways, all including 0. The sum or difference of two integers is always an integer and -4 + 4 = 0 Understand that this is not something in debate in math. No "argument" needs to be made. It is an integer. It is the additive identity element.
2016-03-29 09:46:30 · answer #4 · answered by Anonymous · 0⤊ 0⤋
Yes. A rational number is one that can be expressed as a decimal with a finite number of digits, or a decimal with a set of digits that repeats, or a fraction. So, for instance, 3 is rational, and so is -6.7, and so is 1/3.
Irrational numbers are things like pi, e, and some square roots. They can't be expressed as finite or repeating decimals, or as fractions.
2007-01-30 02:58:24 · answer #5 · answered by Amy F 5 · 2⤊ 0⤋
Yes.
a rational no. is that wich can expressed of the form p/q where p,q are integers and p is not 0
-6.7 can expressed as -67/10. so it is a rational no.
2007-01-30 03:00:15 · answer #6 · answered by iron muncher 3 · 2⤊ 0⤋
Yes, because it can be written as a quotient of two integers:
-6.7 = -67/10
2007-01-30 03:21:53 · answer #7 · answered by jcastro 6 · 1⤊ 0⤋
YES! If you can write the entire number out, it is rational.
2007-01-30 03:36:14 · answer #8 · answered by smartee 4 · 0⤊ 0⤋
Yes, since it is the ratio of two integers. In this case, -67 / 10.
2007-01-30 02:48:45 · answer #9 · answered by Doug 2 · 4⤊ 0⤋
Yes.
2007-01-30 02:47:51 · answer #10 · answered by Anonymous · 0⤊ 0⤋