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12 comments:
# -7 is
* Irrational
* An integer
* A whole number
* A prime number
THAT'S A STRANGE QUESTION - 3 answers are correct!
So, is -7 an irrational or a prime? Can't figure that one out.
THAT'S A STRANGE QUESTION - 3 answers are correct!
Well, no.
It's not a prime number because prime numbers are >= 2.
Whole number is a little more tricky. Some definitions of "whole number" define them as integers. On the other hand, some define them as "positive integers".
I'll admit, I chose integer as a best guess.
How old is 8th grade?
(btw I scored 10/10 but I think I may be too old!)
How old is 8th grade?
13-14ish...
Apparently I would have gotten a B. I guessed that -7 was irrational. How can you have -7 apples?
-7 is an integer.
It is not irrational because it can be expressed as a ratio (e.g. -7/1). Rational and irrational numbers are distinct sets.
It is not a whole number because it is negative. Whole numbers are non-negative (they might be strictly positive, I'm a little fuzzy on that detail)
Is not a prime number. Prime numbers are a subset of the whole numbers. Since -7 is not a whole number, it is not a prime number.
Duh? Is there ANY integer number that cannot be expressed as a n/1 ratio?
Me theenks it's just an integer:
whole numbers must be positive. Primes must be positive. Irrational it ain't as it is not a ratio to start with.
strange
primes
You owe me seven apples, gandalf
I'd say:
It's clearly rational - or would someone argue that numerators and denominators of rationals must be >=0 ?
It's a whole number - it has no fractional part.
It's an integer - for me: integer = whole number
It's a prime: its factors are 1 and -7 (if anyone argues against, saying that -1 and 7 are also factors, then 7 also fails to be prime with factors 1, 7, -1 and -7)
It's NOT a "natural number", which are the members of the set 1,2,3,4 . . . .
Very roughly, I'd consider -7 to have all the properties of 7, except that of being positive.
Any professional mathematician out there to put me straight?
Well, that was fun.
Nuno-
It's only irrational if you use it to calculate a baseline. :-)
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