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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?
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Before we start… If you have of a dollar, how much money do you have?
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What is a rational number?
A rational number can be written as a fraction,
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What is an irrational number?
Cannot be written as a quotient of two integers (fraction); its decimal neither terminates nor repeats
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What are the real numbers?
The set of all rational and irrational numbers. Every point on a real number line is a real number.
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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
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Real Numbers Rational Numbers Irrational Numbers Integers Whole Numbers
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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.
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Classify the numbers
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Classify the numbers − 81
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Classify the numbers 3 4 7
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Classify the numbers 5 8 19
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Classify the numbers −
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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.
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Order the numbers from least to greatest and then classify.
− 2 3 , −0.6, −1, 1 3
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Order the numbers from least to greatest and then classify.
4 3 , −2.8, 3 , − 5
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Order the numbers from least to greatest and then classify.
1.7, , , 1. 3
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Order the numbers from least to greatest and then classify.
2.9, 10 , 7 3 , 2 2
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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?
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How do you compare and order real numbers?
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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
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