Finite Math Examples

${- 4, - \frac{4}{5}, 0, 0.1, \sqrt{7}, 9.5}$

Step 1

There are six common sets of numbers.

Natural (Counting) Numbers: ${1, 2, 3, 4, 5, \dots}$

Whole Numbers: Natural Numbers and ${0}$

Integers: ${\dots, - 3, - 2, - 1, 0, 1, 2, 3, \dots}$

Rational Numbers: Integers, Fractions, and Terminating or Repeating Decimals

Irrational Numbers: Non Terminating or Non Repeating Decimals

Real Numbers: Rational Numbers and Irrational Numbers

Step 2

Determine which sets the numbers fit into.

Natural (Counting) Numbers:

Whole Numbers: $0$

Integers: $- 4, 0$

Rational Numbers: $- 4, - \frac{4}{5}, 0, 0.1, 9.5$

Irrational Numbers: $\sqrt{7}$

Real Numbers: $- 4, - \frac{4}{5}, 0, 0.1, \sqrt{7}, 9.5$