There are six common sets of numbers.

Natural (Counting) Numbers: <math><mstyle displaystyle="true"><mrow><mo>{</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>,</mo><mn>4</mn><mo>,</mo><mn>5</mn><mo>,</mo><mo>…</mo><mo>}</mo></mrow></mstyle></math>

Whole Numbers: Natural Numbers and <math><mstyle displaystyle="true"><mrow><mo>{</mo><mn>0</mn><mo>}</mo></mrow></mstyle></math>

Integers: <math><mstyle displaystyle="true"><mrow><mo>{</mo><mo>…</mo><mo>,</mo><mo>-</mo><mn>3</mn><mo>,</mo><mo>-</mo><mn>2</mn><mo>,</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>0</mn><mo>,</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>,</mo><mo>…</mo><mo>}</mo></mrow></mstyle></math>

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

Irrational Numbers: Non Terminating or Non Repeating Decimals

Real Numbers: Rational Numbers and Irrational Numbers

Determine which sets the numbers fit into.

Natural (Counting) Numbers: <math><mstyle displaystyle="true"><mn>3</mn><mo>,</mo><mn>108</mn><mo>,</mo><mn>3888</mn></mstyle></math>

Whole Numbers: <math><mstyle displaystyle="true"><mn>3</mn><mo>,</mo><mn>108</mn><mo>,</mo><mn>3888</mn></mstyle></math>

Integers: <math><mstyle displaystyle="true"><mn>3</mn><mo>,</mo><mo>-</mo><mn>18</mn><mo>,</mo><mn>108</mn><mo>,</mo><mo>-</mo><mn>648</mn><mo>,</mo><mn>3888</mn></mstyle></math>

Rational Numbers: <math><mstyle displaystyle="true"><mn>3</mn><mo>,</mo><mo>-</mo><mn>18</mn><mo>,</mo><mn>108</mn><mo>,</mo><mo>-</mo><mn>648</mn><mo>,</mo><mn>3888</mn></mstyle></math>

Irrational Numbers:

Real Numbers: <math><mstyle displaystyle="true"><mn>3</mn><mo>,</mo><mo>-</mo><mn>18</mn><mo>,</mo><mn>108</mn><mo>,</mo><mo>-</mo><mn>648</mn><mo>,</mo><mn>3888</mn></mstyle></math>

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