Essential Question: How do you compare and order real numbers? Lesson 9.4 Real Numbers Essential Question: How do you compare and order real numbers?

Before we start… If you have 3 10 of a dollar, how much money do you have?

What is a rational number? A rational number can be written as a fraction,

What is an irrational number? Cannot be written as a quotient of two integers (fraction); its decimal neither terminates nor repeats

What are the real numbers? The set of all rational and irrational numbers. Every point on a real number line is a real number.

Real Numbers Rational Numbers Irrational Numbers Fractions Terminating decimals Repeating decimals Integers Whole numbers Irrational Numbers Can’t be written as a fraction Decimals that don’t terminate or repeat

Real Numbers Rational Numbers Irrational Numbers Integers Whole Numbers

How do you classify real numbers? If the number can be written as a fraction, it’s rational. If it can’t be written as a fraction, it’s irrational.

Classify the numbers

Classify the numbers 24 100 − 81

Classify the numbers 3 4 7

Classify the numbers 5 8 19

Classify the numbers −0.215 256

How do you compare real numbers? You can graph the numbers on a number line using approximations for square roots or you can convert all numbers to decimals.

Order the numbers from least to greatest and then classify. − 2 3 , −0.6, −1, 1 3

Order the numbers from least to greatest and then classify. 4 3 , −2.8, 3 , − 5

Order the numbers from least to greatest and then classify. 1.7, 1.7 , 1. 89 , 1. 3

Order the numbers from least to greatest and then classify. 2.9, 10 , 7 3 , 2 2

Landmark Buildings Your class is visiting historical landmarks in Chicago. Outside the Washington Block, you break up into two groups. Group A walks about 800 meters east and 200 meters south to the Chicago Building. Group B walks about 600 meters south and 200 meters east to the Rookery Building. To the nearest 10 meters, how much farther is Group A from the Washington Block than Group B is?

How do you compare and order real numbers?

Ticket Out the Door Order the numbers from least to greatest. Place your name on the paper and place it in the basket. 49 , 8, − 4 , 4 7 , −3, 7