Finite Math Examples

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

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

Step 1

There are six common sets of numbers.

Natural (Counting) Numbers:

{1, 2, 3, 4, 5, \dots}

${1, 2, 3, 4, 5, \dots}$

Whole Numbers: Natural Numbers and

{0}

${0}$

Integers:

{\dots, - 3, - 2, - 1, 0, 1, 2, 3, \dots}

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

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

$0$

Integers:

- 4, 0

$- 4, 0$

Rational Numbers:

- 4, - \frac{4}{5}, 0, 0.1, 9.5

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

Irrational Numbers:

\sqrt{7}

$\sqrt{7}$

Real Numbers:

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

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