Decimals. Understanding Thousandths Write the decimal shown in each place-value chart. Example. Ones Tenths Hundredths Thousandths

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Name: Date: Chapter Practice 1 Understanding Thousandths Write the decimal shown in each place-value chart. Example Ones Tenths Hundredths Thousandths 1. 0.237 Ones Tenths Hundredths Thousandths 2. Ones Tenths Hundredths Thousandths Lesson 8.1 Understanding Thousandths 1

Write the decimal shown in the place-value chart. 3. Ones Tenths Hundredths Thousandths Mark to show where each decimal is located. 4. 0.006 5. 0.024 6. 0.033 0.015 0 0.01 0.02 0.03 0.04 Write the decimal shown by each arrow. 7. 1 1.01 1.02 1.03 1.04 Complete. 8. 4 hundredths thousandths 9. 8 tenths 5 hundredths thousandths 10. 20 thousandths hundredths 11. 125 thousandths 1 tenth thousandths 2 Chapter 8

Name: Date: Complete. 12. 0.126 1 tenth 2 hundredths thousandths 13. 0.352 3 tenths hundredths 2 thousandths Write the equivalent decimal. 14. 7 thousandths 15. 19 thousandths 16. 235 thousandths 17. 300 thousandths Write each fraction as a decimal. 18. 20. 13 1000 19. 55 1000 228 1000 21. 430 1000 Write each mixed number as a decimal. 22. 2 3 61 23. 6 1000 1000 24. 7 107 240 25. 8 1000 1000 Write each improper fraction as a decimal. 26. 1005 1000 27. 1013 1000 28. 2341 1000 29. 3450 1000 Lesson 8.1 Understanding Thousandths 3

Complete. 30. 0.014 thousandths 31. 0.178 thousandths 32. 0.76 thousandths 33. 1.035 1 one and thousandths 1.234 can be written in expanded form as 1 2 10 3 100 4 1000. Write each decimal in expanded notation. 34. 4.153 35. 8.381 9.876 can be written in expanded form as 9 0.8 0.07 0.006. Write each decimal in expanded notation. 36. 6.426 37. 3.642 Complete. In 5.074, 38. the digit 4 is in the place. 39. the value of the digit 7 is. 40. the digit 0 is in the place. 41. the digit 5 stands for. 4 Chapter 8

Name: Date: Practice 2 Comparing and Rounding Compare the decimals in each place-value chart. Fill in the blanks. Write > or < in the. Example Ones Tenths Hundredths Thousandths 0 0 2 0 0 1 5 1. 0.02 0.015 is greater than. 0.02 > 0.015 Ones Tenths Hundredths Thousandths 0 3 0 8 0 2 9 is less than. 2. Ones Tenths Hundredths Thousandths 4 0 9 1 4 1 9 is less than. Lesson 8.2 Comparing and Rounding 5

Write the greater decimal. 3. 11.6 or 21.8 4. 10.55 or 10.05 5. 20.07 or 20.01 6. 100.202 or 100.212 Write >, <, or = in each. 7. 3.7 0.370 8. 0.150 0.51 9. 0.205 2.05 10. 2.3 2.30 Circle the greatest decimal and underline the least. 11. 1.03, 1.3, 0.13 12. 0.5, 0.53, 0.503 13. 2.35, 2.305, 2.035 14. 8.7, 8.07, 8.701 Order the decimals from least to greatest. Example 3.33, 3.03, 3.303 3.03, 3.303, 3.33 15. 5.51, 5.051, 5.501 16. 4, 4.01, 4.001 17. 0.023, 0.203, 0.230 6 Chapter 8

Name: Date: Write the missing decimal in each box. Round the given decimal to the nearest hundredth. 18. 1.05 1.056 1.06 1.056 rounded to the nearest hundredth is. 19. 2.39 2.395 20. 2.395 rounded to the nearest hundredth is. 5.994 6.00 5.994 rounded to the nearest hundredth is. Fill in the blanks. 21. The mass of a sewing needle is 0.585 gram. Round the mass to the nearest hundredth of a gram. 0.585 g rounds to. 22. The width of a pinhead is 0.098 centimeter. Round the width to two decimal places. rounds to. 23. 1 centimeter is equal to 0.394 inches. Round 0.394 inches to the nearest hundredth of an inch. rounds to. Lesson 8.2 Comparing and Rounding 7

Round each decimal to the nearest whole number, nearest tenth, and nearest hundredth. 24. Decimal 1.049 3.753 2.199 Rounded to the Nearest Whole Number Tenth Hundredth Fill in the blanks. 25. A decimal rounded to the nearest tenth is 2.5. Write two decimals that can be rounded to 2.5. and 26. A decimal rounded to the nearest hundredth is 4.09. Write two decimals that can be rounded to 4.09. and 27. A decimal rounded to the nearest hundredth is 6.32. This decimal is greater than 6.32. What could this decimal be? 28. A decimal rounded to the nearest hundredth is 7.01. This decimal is less than 7.01. What could this decimal be? 8 Chapter 8

Name: Date: Practice 3 Rewriting as Fractions and Mixed Numbers Rewrite each decimal as a fraction or mixed number in simplest form. Example 1. 1 0.2 5 1.8 2. 3. 2.2 3.5 4. 5. 0.36 1.35 Lesson 8.3 Rewriting as Fractions and Mixed Numbers 9

Rewrite each decimal as a fraction or mixed number in simplest form. 6. 7. 1.12 3.57 8. 9. 0.058 0.169 10. 10 1.092 Chapter 8

Name: Date: Rewrite the decimal as a mixed number in simplest form. 11. 2.235 Rewrite each decimal as a fraction or mixed number in simplest form. 12. 7.3 13. 26.9 14. 0.59 15. 15.82 16. 1.28 17. 4.109 18. 0.136 19. 3.602 Lesson 8.3 Rewriting as Fractions and Mixed Numbers 11

1. Explain why 1.8, 1.80, and 1.800 have the same value. 2. Howard does not know how to find the values of A and B on the number line. Write the steps Howard should use to find these values. A 2.1 2.2 B 2.3 Find the value of each mark on the number line first. 12 Chapter 8

Name: Date: Put On Your Thinking Cap! Challenging Practice Solve. 1. You are given two numbers, 3.987 and 70.140. a. Round each number to the nearest tenth. b. Round each number to the nearest hundredth. c. Find the difference between your rounded answers for 3.987. d Find the difference between your rounded answers for 70.140. e. Are your answers in Exercises a and b the same? Explain why or why not. Complete. 2. 4.129 4 1 10 29 3. 2.075 2 1000 5 4. 3.157 1000 7 1000 Chapter 8 13

Put On Your Thinking Cap! Problem Solving Solve. Show your work. 1. Kimberly has 3.25 kilograms of flour in a container. She adds 45 grams of flour to the container. How many kilograms of flour does she have now? 2. The weight of four objects are 3 1 39 pounds, 3 5 1000 pounds, 3 99 52 pounds, and 3 100 10 pounds. Arrange the weights in order from least to greatest. 14 Chapter 8