Question #97247
1 Answer
It is an Integer, a Rational number and a Real number.
Explanation:
First, lets simplify that fraction as much as possible. Since -12 divides evenly into 4, the number we want to evaluate is
Now let's look at the definitions of the terms we want to evaluate
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Integer: Any number that is not partial. It can be positive or negative. Example: (..., -2, -1, 0, 1, 2, ...) not 1.25432,
#pi# , etc. -
Whole: The Whole number set id defined as the "counting" numbers, so the non-negative integers. (0, 1, 2, 3, ...)
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Natural: This set has a problem in definition in that it sometimes includes 0 and sometimes it doesn't. It is defined either as "the set of positive integers" or "the set of non-negative integers". Since this question also includes Whole, I'll assume the definition here is the first one (positive) i.e. (1, 2, 3, ...)
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Rational: A Rational number is any number that can be expressed as a fraction. As the denominator of a fraction can also be 1, it includes all the Integers. Example:
#21/1, 13/4, 1/410, etc# -
Irrational: An Irrational number is any that cannot be expressed by a fraction. They present as numbers that have an infinite number of non-repeating integers after the decimal, such as
#pi# or#e# or#sqrt2# -
Real number: Any number that can be represented in a line. Fractions, Rational, Irrational, Whole, Natural and Integers are all part of the Real number set.
Now that we have our definitions we can compare
It fits the definition for Integer, Rational and Real, but does not for Whole, Natural and Irrational.