Name _______________________________________ Date __________________ Class __________________ UNIT 1 Real Numbers REVIEW 1. Which fraction equals a repeating decimal? A 3 10 B 1 3 7. Which of the following are true? I. C 6 12 II. D 3 4 III. 14 17 5 40 17 8 20 A only I and II 2. A small square garden has an area of 25 square yards. How long is each side of the garden? B only II and III C none of them A 2 yards D all of them B 2.5 yards 8. Which number is between and 14 ? C 5 yards D 5.2 yards A 1.5 C 3.5 B 2.5 D 4.5 15 to one 3. Which is an estimate of decimal place? A 1.5 C 3.9 B 3.9 D 4.1 9. Place 7 8 , –2.25, 24 , 8 1 − 4 and 0.625 on the following number line. 4. Which of these rational numbers is not equal to an integer? A B 81 9 9 81 C 9 D 81 5. Which statement is true? 10. Write the following numbers where they should be placed as a group in the following tree diagram? A No whole numbers are integers. B No integers are whole numbers. C No rational numbers are real. –7, 8, –4 D No integers are irrational. Rational Numbers 6. Which is the best name for numbers that describe distances on a map? A whole numbers Integers B positive integers C negative integers D rational numbers Whole Numbers Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor. 79 Name _______________________________________ Date __________________ Class __________________ UNIT 1 Expressions and the Number System 11. Write 12 1 as a decimal. 4 6 as a whole number, integer, 3 rational number, irrational number, or real number. Write all the names that apply. 17. Classify _______________________________________ 12. Express the fraction 7 in decimal form. 9 ________________________________________ _______________________________________ 2 4 and . 5 9 How are they alike and different? 13. Compare the decimal forms of 18.Find an integer between 9 and 3 . 2 ________________________________________ _______________________________________ 19.Between which two integers would plot 30 6.2 on a number line? 14. Find the two square roots of 400. _______________________________________ ________________________________________ 15.Estimate 150 to the nearest tenth. 20. Write the numbers in order from least to greatest. _______________________________________ 4, 16.Choose two of the following terms for A and B to make this diagram true: whole numbers, integers, rational numbers, irrational numbers, real numbers. 150, 12 3 8 ________________________________________ 21. Put the following in ascending order: 0.3, 1 − , 4 0.01, 1 , 5 − 1 8 _________________________________ Diagram A: _________________ Diagram B: _________________ Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor. 80 Name _______________________________________ Date __________________ Class __________________ Answer Key Unit Tests and Performance Tasks 3 21. 150, 12 , 4 8 22. 1,400,000,000 UNIT 1 Expressions and the Number System 23. 0.0000084 m Unit 1 Test: A 24. 4.0 102 1. B 2. C 3. C 4. B 5. D 6. D 7. A 8. C 9. B 10. C 11. A 12. 12.25 13. 0.7 14. Sample answer: They both have 4 in the 4 tenths place. But the decimal form for is 9 a repeating decimal with every place to 2 the right being a 4. The fraction has 5 only one decimal place. 15. 20, 20 16. 12.2 17. irrational number, real number 18. Answers will vary. Sample answer: A irrational numbers, B real numbers 19. Answers will vary. Sample answers: 2, 1, 0, 1 20. at about 11 2 3 Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor. 192 Name _______________________________________ Date __________________ Class __________________ Unit 1 Test: B 1. A 2. A 3. D 4. B 5. C 6. A 7. B 8. B 9. C 10. C 11. B 12. 4.375 13. 0.416 14. Both have 25 in the first two decimal 1 places, but is a terminating decimal, 4 25 while is a repeating decimal. 99 1 1 , 4 4 16. 6.32 17. rational number, real number 18. Answers will vary. Sample answer: A whole numbers, B integers, C real numbers 19. Answers will vary. Sample answers: 7, 8, 9, 10 20. between 3.4 and 3.5, but closer to 3.4 15. 32 , 6.3, 40, 2 5 22. 19 23. 0.0000000053 21. 24. 2.86 102 Unit 1 Test: C 1. B 2. D 3. C 4. A 5. B Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor. 192
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