Classifying and Graphing Real Numbers
Learn how to identify and classify numbers in the real number system, including rational and irrational numbers. Practice graphing real numbers and comparing them.
Classifying and Graphing Real Numbers
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Presentation Transcript
Transparency 3 Click the mouse button or press the Space Bar to display the answers.
Example 3-7b Objective Identify and classify numbers in the real number system
Example 3-7b Vocabulary Irrational number A number that cannot be expressed as a/b, where a and b are integers and b ≠ 0
Example 3-7b Vocabulary Real number A set of rational and irrational numbers together
Example 3-7b Review Vocabulary Rational number A number that can be expressed as a/b, where a and b are integers and b ≠ 0
Example 3-7b Real Numbers Rational Numbers Irrational Numbers Integers Fractions, terminating and repeating decimals that are not integers Whole Numbers Negative Integers
Lesson 3 Contents Example 1Classify Numbers Example 2Classify Numbers Example 3Classify Numbers Example 4Graph Real Numbers Example 5Compare Real Numbers Example 6Compare Real Numbers Example 7 Using Real Numbers
Name all sets of numbers to which belongs. Example 3-1a Write problem Find the value of 5 Look at the graphic organizer for numbers 1/7
Example 3-7b Real Numbers Real Numbers Rational Numbers Rational Numbers Irrational Numbers Integers Integers Fractions, terminating and repeating decimals that are not integers 5 Whole Numbers Whole Numbers Negative Integers Answer: Integer, Rational Number, Real Number Whole number, 1/7
Name all sets of numbers to which belongs. Example 3-1b Answer: whole number, integer, rational number, real number 1/7
Name all sets of numbers to which belongs. Example 3-2a Write problem Find the value of -3.464101615 . . . We have a repeating decimal that does NOT end 2/7
Example 3-7b Real Numbers Real Numbers Irrational Numbers Rational Numbers Irrational Numbers -3.464101615 . . . Integers Fractions, terminating and repeating decimals that are not integers Whole Numbers Negative Integers Answer: Irrational Number, Real Number, 2/7
Name all sets of numbers to which belongs. Example 3-2b Answer: irrational number, real number 2/7
Example 3-3a Name all sets of numbers to which 0.090909… belongs. Write problem 0.090909 . . . The decimal ends in a repeating pattern. 3/7
Example 3-7b Real Numbers Real Numbers Rational Numbers Rational Numbers Irrational Numbers 0.090909. . . Integers Fractions, terminating and repeating decimals that are not integers Fractions, terminating and repeating decimals that are not integers repeating decimals that are not integers Whole Numbers Negative Integers Answer: Repeating Decimal, Rational Number, Real Number, 3/7
Example 3-3b Name all sets of numbers to which 0.1010101010… belongs. Answer: repeating decimal, rational number, real number 3/7
Estimate and to the nearest hundredth. Then graph and on a number line. Example 3-4a Write problem Evaluate the expressions 2.8284 . . . -1.4142 . . . Round to nearest hundredth 2.83 -1.41 4/7
Estimate and to the nearest hundredth. Then graph and on a number line. Example 3-4a Draw number line from at least -2 to 3 Plot solutions on number line 2.8284 . . . -1.4142 . . . Label with original expression 2.83 -1.41 Answer: 4/7
Estimate and to the nearest tenth. Then graph and on a number line. Example 3-4b Answer: 4/7
Replace with <, >, or to make a true sentence. Round to nearest hundredth Example 3-5a Write problem using a circle between the numbers Convert each to a decimal 3.875 3.872 Round to nearest hundredth Write a comparison 3.88 > 3.87 > Answer: 5/7
Replace with <, >, or to make a true sentence. Answer: Example 3-5a > 5/7
Replace with <, >, or to make a true sentence. Example 3-6a Write problem using a circle between the numbers Convert each to a decimal Must compare the thousandths position < 3.222 . . . 3.2249 Write a comparison Answer: < 6/7
Replace with <, >, or to make a true sentence. Example 3-6b > Answer: 6/7
BASEBALLThe time in seconds that it takes an object to fall d feet is How many seconds would it take for a baseball that is hit 250 feet straight up in the air to fall from its highest point to the ground? Example 3-7a Write the expression Replace d with 250 Follow order of operations P E MD AS 0.25 (15.81) Find the square root 3.95 Multiply Answer: 3.95 seconds 7/7
BASEBALLThe time in seconds that it takes an object to fall d feet is How many seconds would it take for a baseball that is hit 450 feet straight up in the air to fall from its highest point to the ground? Example 3-7b * Answer: 5.31 seconds 7/7
End of Lesson 3 Assignment
