Real Numbers Real Numbers Real numbers consist of

Real Numbers

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, … }

Whole Numbers 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.

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

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

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