Lesson 5.1 Skills Practice

Transcription

1 Lesson 5.1 Skills Practice Name Date Is It a Bird or a Plane? Rational Numbers Vocabulary Define each set of numbers in your own words. 1. Natural numbers Natural numbers consists of the numbers that you use to count objects. 2. Whole numbers Whole numbers are made up of the set of natural numbers and the number Integers Integers include all of the whole numbers and their additive inverses. 4. Closed A set of numbers is said to be closed when the operations could produce a defined value that is also in the set. 5. Rational numbers Rational numbers are numbers that can be written in the form a, where a and b b are both integers and b is not equal to 0. Problem Set Write each fraction as a decimal Graph each pair of rational numbers on the number line. Use the graph and write.,,, or 5 to compare the numbers Chapter 5 Skills Practice 523

2 Lesson 5.1 Skills Practice page , Tell whether the numbers in each problem are natural numbers, whole numbers, or integers, and identify whether those numbers are closed or open under the operation used natural numbers, whole numbers, or integers; closed under addition whole numbers or integers; closed under multiplication (23) 5 7 integers; closed under subtraction whole numbers are not closed under subtraction; closed under subtraction as integers 524 Chapter 5 Skills Practice

3 Lesson 5.1 Skills Practice page 3 Name Date natural numbers or whole numbers are not closed under subtraction; closed under subtraction as integers (25) integers; not closed under division Add, subtract, multiply, or divide the rational numbers in each (23.75) ( ) (25.09) ( ) Chapter 5 Skills Practice 525

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5 Lesson 5.2 Skills Practice Name Date Sew What? Irrational Numbers Vocabulary Match each term with the number that represents that term. 1. Irrational number a c 2. Terminating decimal b a 3. Repeating decimal c. π d 4. Bar notation d b Problem Set Convert each fraction to a decimal and tell whether the fraction results in a terminating or repeating decimal ) 1.00 ; terminating 9 ) 7.00 ; repeating ) ; repeating 8 ) ; terminating ) ; terminating 11 ) 8.00 ; repeating Chapter 5 Skills Practice 527

6 Lesson 5.2 Skills Practice page 2 Write each repeating decimal as a fraction w w w w w 5 3 9w 5 8 w w w w w w w w 5 54 w w w w w w w w 5 27 w w Chapter 5 Skills Practice

7 Lesson 5.2 Skills Practice page 3 Name Date w w w w w w w w ,000w ,000w w w w ,999w w w , Chapter 5 Skills Practice 529

8 Lesson 5.2 Skills Practice page 4 Tell whether each number is rational or irrational. 17. π irrational rational (2) irrational rational (3) irrational rational ( 1 7 ) 530 Chapter 5 Skills Practice

9 Lesson 5.3 Skills Practice Name Date Worth 1000 Words Real Numbers and Their Properties Vocabulary Write a description of each term in your own words. 1. real numbers: The set of real numbers is the combined set of rational numbers and irrational numbers. 2. Venn diagram: A Venn diagram is a diagram used to show how sets overlap. 3. closed (under an operation): A set of numbers is closed under an operation if the result of the operation on two numbers in the set is another member of the set. Problem Set Indicate whether each real number shown is rational, irrational, an integer, a whole number, a natural number, or some combination rational, integer, whole irrational number, natural number rational, integer rational rational, integer, whole number, natural number rational Chapter 5 Skills Practice 531

10 Lesson 5.3 Skills Practice page rational rational, integer, whole number irrational rational, integer Identify the property represented in each problem (259) multiplicative identity commutative property of addition (2174) If and 4 ( 1 4 ) additive inverse transitive property of equality 5 1 then ( 1 4 ) (213) commutative property of additive identity multiplication ( ) 5 [245 1 (232)] 1 87 multiplicative inverse associative property of addition If then reflexive property of equality symmetric property of equality 21. [5 3 (23)] [(23) 3 12] associative property of multiplication additive inverse 532 Chapter 5 Skills Practice