Real Numbers

Real numbers consist of rational numbers and irrational numbers.

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.

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

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

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

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

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

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

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 3. 15.1

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 6. 2.024

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