The number \(-1005\) falls into several categories of number sets:
- Real Numbers: All numbers that can be found on the number line, including both rational and irrational numbers.
- Rational Numbers: Numbers that can be expressed as the quotient of two integers (where the denominator is not zero). Since \(-1005\) can be expressed as \(-1005/1\), it is a rational number.
- Integers: Whole numbers that can be positive, negative, or zero. \(-1005\) is an integer.
- Whole Numbers: This set includes non-negative integers (0, 1, 2, ...). Since \(-1005\) is negative, it is not a whole number.
Given these categories, the correct set of numbers that includes the simplified value of \(-1005\) is:
Real, Rational, Integer