7.1 Introduction to real numbers
- 1. Identifying Different Types of Numbers GUIDED EXAMPLE 1 Classify each number as an integer, a rational number, an irrational number, and/or a real number. REAL NUMBER TYPES a. Integer, rational number, real number b. c. d. e. f. g. Irrational number, real number Rational number, real number Rational number, real number Irrational number, real number Rational number, real number Integer, rational number, real number
- 2. Real Numbers on a Number Line GUIDED EXAMPLE 2 Plot each number on a number line. REAL NUMBER NUMBER LINE a. b. c. d. e.
- 3. Real Numbers on a Number Line GUIDED EXAMPLE 3 Plot each number on a number line. REAL NUMBER a. NUMBER LINE b. c. d. e.
- 4. Using Real Numbers in Real Life Situations GUIDED EXAMPLE 4 Use a real number to represent each real life situation. SITUATION a. A population growth of 1279. REAL NUMBER b. An oil drilling platform extends 325 feet below sea level. c. Water boils at 100° C. d. A child digs a hole 3 feet deep in beach sand. e. There is a wind chill factor of minus 10° F. f. A hiker climbs a mountain that is 2023 feet high.
- 5. Study Guide Whole numbers are the numbers 0, 1, 2, 3, 4, …. Integers are whole numbers and their negatives. …, –3, –2, –1, 0, 1, 2, … Rational numbers are numbers that can be written as a fraction of two integers, such as When written in decimal form, rational numbers are either terminating or repeating. Irrational numbers are numbers that cannot be expressed as a fraction of two integers, such as Irrational numbers are non-terminating, non-repeating decimals.
- 6. Study Guide Definition: REAL NUMBERS Real numbers are all the rational numbers and all the irrational numbers. Any real number can be plotted on a number line.
- 7. Study Guide Definition: REAL NUMBERS Real numbers are all the rational numbers and all the irrational numbers. Any real number can be plotted on a number line.