Final answer:
-√81 is rational and an integer because it equals -9, which can be expressed as a fraction and is within the set of whole numbers including their negative counterparts. It's not natural or a whole number because those sets only include positive numbers.
Step-by-step explanation:
The question at hand is whether -√81 is rational, irrational, natural, a whole number, or an integer. To answer this, let's first find the value of -√81.
The square root of 81 is 9 because 9 multiplied by 9 equals 81. Therefore, -√81 equals -9. Now, let's categorize -9:
- It is rational because it can be expressed as a fraction (-9/1).
- It is not natural because natural numbers are the set of positive integers starting from 1, which does not include negative numbers.
- It is not a whole number because whole numbers are the set of non-negative integers starting from 0.
- It is an integer because integers include all whole numbers and their negative counterparts (including -9).
Therefore, the correct answer is c) Rational, not natural, not whole number, integer.