Which set of numbers would include the simplified value of −1005

Question

?(1 point)
Responses

Real, Irrational, Integer
Real, Irrational, Integer

Real, Rational, Integer
Real, Rational, Integer

Real, Irrational, Integer, Whole
Real, Irrational, Integer, Whole

Real, Rational, Integer, Whole

Answer 1

The number \(-1005\) is a rational number because it can be expressed as a fraction (e.g., \(-1005/1\)). Additionally, it is also an integer because it is a whole number without any fractional or decimal part.

Here's how we categorize it:

1. Real Numbers: All integers, rational numbers, and irrational numbers are real numbers.
2. Rational Numbers: Any number that can be expressed as a fraction of integers, including integers themselves.
3. Integers: Whole numbers that can be positive, negative, or zero.
4. Whole Numbers: Non-negative integers (0, 1, 2, ...). Since \(-1005\) is negative, it is not a whole number.

Thus, the appropriate set of numbers for \(-1005\) is:

Real, Rational, Integer.