Question

Which set of numbers would include the simplified value of −1005
?(1 point)
Responses

Real, Rational, Integer, Whole
Real, Rational, Integer, Whole

Real, Rational, Integer
Real, Rational, Integer

Real, Irrational, Integer
Real, Irrational, Integer

Real, Irrational, Integer, Whole

Answer 1

The number \(-1005\) falls into several categories of number sets:

1. **Real Numbers**: All numbers that can be found on the number line, including both rational and irrational numbers.
2. **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.
3. **Integers**: Whole numbers that can be positive, negative, or zero. \(-1005\) is an integer.
4. **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**