This document discusses different types of real numbers. It defines rational numbers as real numbers that can be written as a ratio of two integers with terminating or repeating decimal representations. Irrational numbers are defined as real numbers that cannot be written as a ratio of two integers, having non-terminating and non-repeating decimal representations. Examples of both rational and irrational numbers are provided. Integers are also discussed as a subset of rational numbers, defined as whole numbers and their opposites.

1. REAL NUMBERS (as opposed to fake numbers?)

2. Two Kinds of Real Numbers Rational Numbers Irrational Numbers

3. Two Kinds of Real Numbers Rational Numbers Irrational Numbers

4. Rational Numbers A rational number is a real number that can be written as a ratio of two integers. A rational number written in decimal form is terminating or repeating.

5. Examples of Rational Numbers 16 1/2 3.56 -8 1.3333… - 3/4

6. Irrational Numbers An irrational number is a number that cannot be written as a ratio of two integers. Irrational numbers written as decimals are non-terminating and non-repeating.

7. Examples of Irrational Numbers Square roots of non-perfect “squares” Pi 17

8. Integers One of the subsets of rational numbers

9. What are integers? Integers are the whole numbers and their opposites. Examples of integers are 6 -12 0 186 -934

10. Integers are rational numbers because they can be written as fraction with 1 as the denominator.