Which set of numbers would include the simplified value of −100/5

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

To simplify \(-100/5\):

\[ -100 \div 5 = -20 \]

Now, let's determine the classification of the number \(-20\):

1. Real: All numbers are real numbers, including integers, rational numbers, and irrational numbers. So \(-20\) is real.
2. Rational: Any number that can be expressed as a fraction of two integers is rational. Since \(-20\) can be written as \(-20/1\), it is considered a rational number.
3. Integer: Whole numbers and their negatives fall under integers. \(-20\) is an integer.
4. Whole number: Whole numbers are non-negative integers (0, 1, 2, ...). Since \(-20\) is negative, it is not a whole number.

Based on this classification, the correct set of numbers that includes the simplified value of \(-100/5\) is:

Real, Rational, Integer