Name Understanding Decimals P 2-1 Give the place and value of the 3 in each number. 1. 56.389 2. 9.6431 3. 0.72536 Complete the table. Standard Form Short-Word Form Expanded Form 2 and 3 hundredths 4. 70 8 0.4 0.06 5. 44 4 44 6. Number Sense Express 14 as decimal numbers. 0, 10 0 , and 1,000 Write the total number of points for each event in expanded form. 7. team Event Winning Points Team 154.608 All-around 8. all-around Uneven bars 38.642 9.862 9. uneven bars 10. Which shows the short-word form for 16.011? A. 16 and 11 thousandths B. 16 and 11 hundredths C. 16 and 11 tenths D. 16 0.011 11. Writing in Math Explain how to determine the place and value of a number. 18 Use with Lesson 2-1. © Pearson Education, Inc. 6 Test Prep Name P 2-2 Comparing and Ordering Decimals Use , , or to compare each pair of numbers. 1. 656.07 3. 0.01 656.23 0.10 2. 73.42 72.56 4. 7.999 7.998 Order from least to greatest. 5. 639.087, 639.078, 638.088 6. 0.0909, 0.0989, 0.0999 7. 19.235, 19.23, 19.240, 19.2353 8. Order the lung volumes from least to greatest. Animal (adult) 9. Which animal has a lung volume that is greater than a cow’s? Lung Volume (in quarts) Cat 0.328 Cow 10.565 Mouse 0.001 Whale 105.65 10. Which two animals have the closest lung volume? © Pearson Education, Inc. 6 Test Prep 11. Which decimal is greater than 3.33 but less than 3.34? A. 2.3349 B. 3.305 C. 3.329 D. 3.336 12. Writing in Math Explain how to find a number that is between 4.9 and 4.95. Use with Lesson 2-2. 19 Name Rounding Decimals P 2-3 Round to the underlined place. 1. 0.0043 2. 84.638 3. 2.984 4. 217.4 5. 0.0017 6. 2.709 7. 371.902 8. 45.99 9. Number Sense A number rounds to 6.78. List three possibilities for the number. Departure City Destination City Fare Portland San Diego $208.75 San Diego Denver $310.45 Denver Portland $296.97 Round each of the round-trip fares to the nearest one dollar. Then round to the nearest ten cents. 10. Portland to San Diego 11. San Diego to Denver 12. Denver to Portland Test Prep A. 6.7688 B. 6.7669 C. 6.7659 14. Writing in Math Explain how 1.1, 1.06, and 1.059 can all be rounded forms of 1.0592. 20 Use with Lesson 2-3. D. 6.7654 © Pearson Education, Inc. 6 13. Which number can round to 6.766? Name Estimating with Decimals P 2-4 Estimate each answer. 1. $36.17 $42.89 2. 25.9 12.8 3. 78.11 5.7 4. 132.36 48.31 5. $421.90 $20.10 6. 16.48 3.2 7. 94.951 67.632 8. $37.55 $83.69 9. Number Sense Is 2 or 4 a better estimate for the quotient 47.8 11.6? Explain. 10. Victoria has $10 to spend on her new puppy. Name 3 different items she can buy. 11. Joe has $5 to spend on his dog, Frisky. Can he buy the food dish and a brush? Why or why not? Pet Supplies Food dish Water bowl Leash Squeaky toy Rope toy Brush $2.69 $2.39 $5.29 $1.32 $2.45 $4.00 12. Mental Math Estimate the total for all the items. © Pearson Education, Inc. 6 Test Prep 13. Which is the most reasonable estimate for the total of $22.16 $57.89 $46.41? A. $110 B. $130 C. $180 D. $250 14. Writing in Math You want to buy supplies for a school project. Explain why you would want an estimate to be greater than the exact answer. Use with Lesson 2-4. 21 Name Adding and Subtracting Whole Numbers and Decimals P 2-5 Find each sum or difference. 1. 22 0.99 2. 9.8347 1.26 3. 5.011 1.23 23.7629 4. 101.21 45.6 5. 0.03 1.85 6. $67.85 $97.12 7. Number Sense Use each of the digits 0, 1, 2, 3, 4, and 5 exactly once to write a decimal subtraction problem. The difference must be the same as one of the decimals in the problem. 8. Find the difference in price between the cost of 1 tube of glue and 1 roll of tape. 9. Find the cost of 2 packs of markers. Craft Supplies Poster board $1.29/sheet Markers $4.50/pack Tape $1.99/roll Construction paper $3.79/pack Glue $2.39/tube Test Prep 11. Which is the difference of 8,246.4 57.73? A. 8,067.03 B. 8,144.06 C. 8,187.07 D. 8,188.67 12. Writing in Math Is 9.008 the correct answer for 9.009 0.01? If not, tell why and provide the correct answer. 22 Use with Lesson 2-5. © Pearson Education, Inc. 6 10. How much more do 2 packs of markers cost than 4 sheets of poster board? Name Multiplying Whole Numbers and Decimals P 2-6 Place the decimal point in each product. 1. 3 6.892 20676 2. 0.3 4.57 1371 Find each product. 3. 14.3 2.1 8.9 4. 0.45 0.01 5. 67.1 0.3 0.4 6. 582.1 4.2 7. Reasoning Show how to find the product of 16.2 4 using addition. 8. Which activity is 6 times faster than the fastest rowing speed? 10. How fast would 1.5 times the fastest rowing speed be? 100.9 85.38 36.4 14.23 5 F sw ast im es m t in g Fa st ru es nn t in g Fa st ro est w in g Fa st es lu t ge Fa st th est ba row se n ba ll mph 9. The fastest speed a table tennis ball has been hit is 21.12 times faster than the speed for the fastest swimmer. What is the speed for the table tennis ball? Fastest Sporting Speeds 110 100 90 80 70 60 50 40 30 20 10 0 Human Activity © Pearson Education, Inc. 6 Test Prep 11. Which is the product of 241.82 3.8? A. 91.8916 B. 918.916 C. 9,189.16 D. 91,891.6 12. Writing in Math Explain why multiplying 37.4 0.01 gives a product that is less than 37.4. Use with Lesson 2-6. 23 Name Dividing by a Whole Number P 2-7 Find each quotient. Round to the nearest hundredth if necessary. 1. 77 4 2. 3.21 6 3. 14 80 4. $1.13 22 5. 130 10,000 6. 8.6 86 7. 231 11 8. 961.23 13 9. Number Sense How can you tell if 54.6 3 is greater than or less than 54.6 30? For 10 and 11, write the price per ounce of each type of nut butter to the nearest cent. 10. peanut butter Nut Butter 11. almond butter Price per Container Peanut 12 oz for $1.11 Cashew 11 oz for $3.30 Almond 16 oz for $2.24 12. Which type of nut butter is the most expensive per ounce? Test Prep 13. Find the quotient of 60.82 17. Round to the nearest hundredth. B. 3.58 C. 3.59 14. Writing in Math Explain how you determined the price per ounce of a 12 oz jar of peanut butter in Exercise 10. 24 Use with Lesson 2-7. D. 3.6 © Pearson Education, Inc. 6 A. 3.577 Name PROBLEM-SOLVING SKILL P 2-8 Interpreting Remainders Igneous Quarry Company needs to deliver 284 tons of granite to a site that is 1,080 mi away from the company. 1. If each truck can carry a maximum load of 10 tons, how many full trucks will be needed? 2. How many tons of granite will need to be carried by an extra truck? 3. If a truck driver drives 600 mi per day, how many days will it take to drive 2,080 mi? 4. What does the remainder represent? 5. If the company charged $8,050 for the entire job, how much did it charge per ton for delivery? © Pearson Education, Inc. 6 6. What does the remainder represent and how did you adjust your answer to allow for this? 7. If each truck gets 7 mi to the gallon, how many gallons of gas will be needed for the 1,080 mi? (Round to the nearest hundredth.) 8. Each truck holds 100 gal of gas. If the drivers start with a full tank of fuel, how many times will they need to refuel? Use with Lesson 2-8. 25 Name Dividing by a Decimal P 2-9 Find each quotient. 1. 8.4 0.3 2. 66.15 0.63 3. 10.5 1.5 4. 86 0.4 5. 72.8 1.4 6. 14.36 0.4 7. 2.87 0.01 8. 78.32 0.22 9. Reasoning Why would multiplying both the dividend and the divisor by 10 sometimes make a problem easier to solve? For each item, find how many times greater the 2002 cost is than the 1960 cost. Round your answer to the nearest hundredth. 10. movie admission Item 1960 Cost 2002 Cost Movie admission $0.75 $8.50 Regular popcorn $0.25 $3.25 Regular drink $0.35 $2.75 11. regular popcorn 12. regular drink 13. Which item has increased the greatest amount of times from its original cost? Test Prep A. 156 B. 156.6 C. 156.61 15. Writing in Math Lynn and Randi got different quotients when they divided 3.60 by 0.12. Whose work is correct? Explain why. 26 Use with Lesson 2-9. D. 156.63 Lynn 0.30 1 2) 3 . 6 0 Randi 30.0 1 2) 3 6 0 . © Pearson Education, Inc. 6 14. Divide. Round to the nearest hundredth. 250.6 1.6 Name Multiplying and Dividing by Powers of Ten P 2-10 Find each product or quotient. 1. 72.1 103 2. 450 10–4 3. 3.103 103 4. 167.4 10–2 5. 0.012 10–2 6. 0.012 102 7. 0.301 10–3 8. 8.235 104 9. Reasoning Explain in your own words why 104 is greater than 10–4. 10. Number Sense Write 10, 100, and 1,000 as powers of ten. Do the same for 0.1, 0.01, and 0.001. 11. Write the weight of an ant in standard form. 12. Write the weight of an elephant in standard form. Weight (in pounds) Ant 2 105 Hummingbird 2 102 16 103 Elephant © Pearson Education, Inc. 6 13. Write the weight of a hummingbird in standard form. Test Prep 14. Which is the quotient of 10.06 ÷ 104? A. 0.001006 B. 0.01006 C. 1,006 D. 100,600 15. Writing in Math Explain how you would write one billion as a power of ten. Use with Lesson 2-10. 27
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