What set of real numbers does this number belong to? −5/12

SchachtN

SchachtN

Answered question

2020-11-08

What set of real numbers does this number belong to?
512

Answer & Explanation

SabadisO

SabadisO

Skilled2020-11-09Added 108 answers

The set of real numbers are:
The natural numbers: This set is the numbers 1, 2, 3, 4, ....
The whole numbers: This set is the natural numbers and 0 so this set is 0, 1, 2, 3, 4, ...
The integers: This set is the whole numbers and their additive inverses. This set is then the numbers ..., −3−3, −2−2, −1−1, 0, 1, 2, 3, ....
The rational numbers: This set is the set of integers along with all fractions and all decimals that are terminating or repeating.
The irrational numbers: This set is all the decimals that are not terminating or repeating. It includes roots that cannot be reduced, such as √3, and numbers such as ππ that have no pattern when written in decimal form.
For the number (512), it can't be a natural number or whole number since it is negative. It can't be an integer since it can't be reduced to a whole number or the negative of a whole number. Since it is a fraction, its decimal will terminate or repeat so it must then belong to the set of rational numbers.

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