1. Real Numbers

2. Real numbers consist of rational numbers and irrational numbers.

3. Rational and Irrational Numbers
Rational numbers: All numbers that can be written as a/b, where a and b are both integers, and b is not equal to 0. Rational numbers in decimal form terminate or repeat.
Irrational numbers: All numbers that cannot be written as a/b, where a and b are both integers and b is not equal to zero. Irrational numbers are non-repeating and non-terminating decimals.

4. Integers
All integers are rational numbers because you can write any integer as n/1.
{ …, -3, -2, -1, 0, 1, 2, 3, … }

5. The whole numbers are the non-negative integers.
{0, 1, 2, 3, 4, …}

6. Natural Numbers
The natural numbers are the whole numbers but not zero. Natural numbers are also called counting numbers.

7. The number of desks in a room
Classifying Numbers
Which set of numbers is the most reasonable for the following situation?
The number of desks in a room
WHOLE NUMBERS

8. Heights of your classmates
Classifying Numbers
Which set of numbers is the most reasonable for the following situation?
Heights of your classmates
RATIONAL NUMBERS

9. The temperature on a thermometer
Classifying Numbers
Which set of numbers is the most reasonable for the following situation?
The temperature on a thermometer
RATIONAL NUMBERS

10. Classifying Numbers
Write each number in the form a/b using integers to show that it is a rational number.
1. 0.4
2. –6

11. Classifying Numbers
Write each number in the form a/b using integers to show that it is a rational number.
4. 1.3
5. –24

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