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NAME ___________________________________________________ DATE ______________________ PERIOD ____________ Chapter 1 Test, Form 2A Evaluate each expression. SCORE _____________ Preparation for 8.2(C) 2 2. _ 5 1. (-5) -125 3 82 _9 3. How is - 15 written as decimal? _1 2 -0.6 Preparation for 8.2(C) −− 4. How is 0.75 written as fraction in simplest form? 25 _ Preparation for 8.2(C) 33 5. The Statue of Liberty weighs 450,000 pounds. What is this number written in 8.2(C) scientific notation? 4.5 × 10 5 1 _ 6. How is the expression 10 −5 written using a positive exponent? 10 5 _ 144 7. What is the value of the expression - ? 100 Preparation for 8.2(C) _6 8.2(B) _ - or -1 1 5 5 8. The area of a square sandbox is 83 square feet. To the nearest foot, what is the Copyright © McGraw-Hill Education. Permission is granted to reproduce for classroom use. perimeter of the sandbox? 8.2(B) 36 ft 9. Tito is installing a new kitchen floor. The kitchen is square in shape and has an area of 8.2(B) 441 square feet. What is the length of one side of Tito’s kitchen? 21 ft 10. Solve the equation x 2 = 400. ± 20 Preparation for 8.2(B) 20 or - √ 25 ? 11. Is the point shown on the number line below closer to - √ -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 8.2(B) 0 20 - √ 12. To the nearest whole number, what is the best estimate for √ 214 ? 8.2(B) 15 3 ____ 13. Estimate √130 to the nearest integer. 8.2(B) 5 14. Order the set of numbers at the right from least to greatest. Verify 8.2(D) your answer by graphing the numbers on a number line. { __ __ _} { √5 , -√6 , 2_12 , -3 } __ __ -3, -√ 6 , √5 , 2 1 2 Course 3 • Chapter 1 Real Numbers -3 -2 -1 0 1 2 3 5 NAME ___________________________________________________ DATE ______________________ PERIOD ____________ Chapter 1 Test, Form 2A SCORE _____________ (continued) 15. An ounce of water is equal to 0.0295 liter. What is this number written in scientific notation? 8.2(C) 2.95 × 10 -2 16. The diameter of carbon atom is about 3.4 × 10 –7 millimeter. Is it more appropriate to report the diameter of carbon atom as 3.4 × 10 –7 millimeter or 3.4 × 10 –13 kilometer? 8.2(C) Explain your reasoning. 3.4 × 10 -7 millimeter; the number is very small, so choosing a smaller unit of measure is more meaningful. 8.2(A) Classify each number by determining all sets of numbers to which it belongs. 7 18. √ 5 irrational 19. -7 integer; rational 17. 8 rational _ 20. Write each number in Exercises 17–19 in the Venn diagram. 8.2(A) Sample answer: 7 Rational Numbers 8 Integers Irrational Numbers 7 Whole Numbers 5 21. Heather compared the diameter of different objects in the solar system for a science project. She recorded the data in the table. Write the diameter of each object in scientific 8.2(C) notation. Which objects have a diameter greater than 1.3 × 10 7 meters? Object Saturn Earth Sun asteroid Diameter (m) Diameter in Scientific Notation 120,536,000 12,756,200 1,391,000,000 132,000 1.20536 × 10 8 1.27562 × 10 7 1.391 × 10 9 1.32 × 10 5 the Sun and Saturn 22. Thomas used 25 square tiles to cover a patio with an area of 75 square feet. Paul used 20 square tiles to cover a patio with an area of 100 square feet. Sarah used 30 square tiles to cover a patio with an area of 120 square feet. Who used the square tile with the greatest 8.2(B), 8.2(D) side length, and what was its side length to the nearest hundredth? Paul; 2.24 ft 6 Course 3 • Chapter 1 Real Numbers Copyright © McGraw-Hill Education. Permission is granted to reproduce for classroom use. Use a problem-solving model to solve each problem.