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

1 answer

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

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