SOLUTION: What categories does -4.5 fit into? a natural, whole, integer, rational,irrational or real

Question 1047924: What categories does -4.5 fit into? a natural, whole, integer, rational,irrational or real
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
-4.5 is NOT a natural number because natural numbers are the set {1, 2, 3, 4, 5, ...} basically positive whole numbers.

-4.5 is NOT a whole number. It is not a whole number because it has a fractional component.

-4.5 is NOT an integer since it has a fractional component

-4.5 is a rational number since we can write -4.5 as -45/10, ie, . The fact that we can write -4.5 as a fraction of integers means that this number is rational.

-4.5 is NOT irrational because it is rational. If something is rational, then it cannot be irrational. The same can be said in reverse: if a number is irrational, then it is not rational. The two sets of numbers are opposite in nature.

-4.5 is a real number

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To sum things up, -4.5 is

rational
real

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