Chapt Name: Date: er Decimals Practice 1 Understanding Tenths Shade the squares to represent each decimal. Each square represents 1 whole. Example © 2009 Marshall Cavendish International (Singapore) Private Limited 1. 0.6 0.3 3. 2. 1.8 Write a decimal for each place-value chart. 1.5 4. Ones Tenths 5. Ones Tenths 6. Ones Tenths 7. Ones Tenths Lesson 7.1 G4B_WB_Ch_07.indd 1 Understanding Tenths 1 2/25/09 3:16:42 AM Write the correct decimal in each box. 8. 0 1.0 2.0 3.0 0.4 Mark ✘ to show where each decimal is located on the number line. Label its value. 9. 1.6 10. 1.8 11. 2.4 0 ✘ 1.0 2.0 3.0 Write each of these as a decimal. 12. 9 tenths 13. 13 tenths 14. 26 tenths 15. 9 ones and 3 tenths Write each fraction or mixed number as a decimal. 16. 7 10 17. 3 210 18. 41 10 19. 109 10 21. 5.7 23. 48.9 © 2009 Marshall Cavendish International (Singapore) Private Limited 0.9 Write each decimal in tenths. 20. 0.3 22. 26.1 2 G4B_WB_Ch_07.indd 2 tenths tenths tenths tenths Chapter 7 Decimals 2/25/09 3:16:43 AM Name: Date: Write a fraction and decimal for each measure. Example 24. © 2009 Marshall Cavendish International (Singapore) Private Limited Length of screw 7 10 Amount of water cm 0.7 L cm L Write a mixed number and decimal for each measure. 25. 26. Length of nail cm cm Amount of water L Lesson 7.1 G4B_WB_Ch_07.indd 3 Understanding Tenths L 3 2/25/09 3:16:43 AM Fill in the blanks. 27. 3.4 3 ones and 28. 5.8 29. 22.1 2 tens 2 ones and 30. 36.7 tenths ones and 8 tenths tenth tens 6 ones and 7 tenths 31. 4.5 32. 23.7 You can write 14.3 in expanded form as 10 + 4 + 0.3. Complete in the same way. 33. 6.9 34. 35.4 © 2009 Marshall Cavendish International (Singapore) Private Limited 2. You can write 15.2 in expanded form as 10 + 5 + 10 Complete in the same way. Fill in the blanks. 35. Tens Ones Tenths 3 4 6 The digit 6 is in the 36. Tens Ones Tenths 5 0 8 The digit 0 is in the 4 G4B_WB_Ch_07.indd 4 place. Its value is . place. Its value is . Chapter 7 Decimals 2/25/09 3:16:44 AM Name: Date: Practice 2 Understanding Hundredths Shade the squares to represent each decimal. Each large square represents 1 whole. Example 1. © 2009 Marshall Cavendish International (Singapore) Private Limited 0.06 0.55 2. 3. 1.05 1.23 Write a decimal for each place-value chart. 4. Ones Tenths Hundredths 5. Ones Tenths Hundredths 6. Ones Tenths Hundredths 7. Ones Tenths Hundredths Lesson 7.2 G4B_WB_Ch_07.indd 5 Understanding Hundredths 5 2/25/09 3:16:44 AM Write the correct decimal in each box. 8. 0 0.1 0.2 0.3 Mark ✘ to show where each decimal is located on the number line. Label its value. 0.14 10. 0.22 11. 0.27 0.02 0 ✘ 0.1 0.2 0.3 Write each of these as a decimal. 12. 9 hundredths 13. 23 hundredths 14. 6 tenths 1 hundredth 15. 7 ones and 90 hundredths © 2009 Marshall Cavendish International (Singapore) Private Limited 9. Write each fraction as a decimal. 16. 5 100 17. 19 100 18. 83 100 19. 70 100 Write each fraction or mixed number as a decimal. 20. 6 G4B_WB_Ch_07.indd 6 17 3 100 21. 9 18 100 Chapter 7 Decimals 2/25/09 3:16:44 AM Name: Date: Write each fraction or mixed number as a decimal. 22. 233 100 23. 104 100 Write each decimal in hundredths. 24. 0.07 hundredths 25. 2.31 hundredths 26. 1.83 hundredths 27. 5.09 hundredths © 2009 Marshall Cavendish International (Singapore) Private Limited Fill in the blanks. 28. 0.38 29. 2.71 2 ones and 7 tenths 30. 5.09 5 ones and 31. 8.86 8 ones and 8 tenths tenths 8 hundredths hundredth hundredths hundredths 1 + 3 . You can write 6.13 in expanded form as 6 + 10 100 Complete in the same way. 32. 5.24 33. 8.96 Lesson 7.2 G4B_WB_Ch_07.indd 7 Understanding Hundredths 7 2/25/09 3:16:44 AM You can write 7.45 in expanded form as 7 + 0.4 + 0.05. Complete in the same way. 34. 4.31 35. 9.57 Fill in the blanks. In 0.38, the digit 8 is in the 37. In 12.67, the digit in the tenths place is 38. In 3.45, the value of the digit 5 is 39. In 5.02, the value of the digit 2 is Write each amount in decimal form. 40. 75 cents $ 41. 40 cents $ 42. 5 cents $ 43. 130 cents $ 44. 10 dollars and 25 cents $ 45. 28 dollars $ 46. 1 dollar and 9 cents $ 8 G4B_WB_Ch_07.indd 8 place. . . hundredths. © 2009 Marshall Cavendish International (Singapore) Private Limited 36. Chapter 7 Decimals 2/25/09 3:16:44 AM Name: Date: Practice 3 Comparing Decimals Use the number line. Find the number that is described. 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 1. 0.1 more than 0.2. 2. 0.3 more than 0.5. 3. 0.1 less than 0.6. 4. 0.2 less than 0.9. © 2009 Marshall Cavendish International (Singapore) Private Limited Use the number line. Find the number that is described. 0.1 0.11 0.12 0.13 0.14 0.15 0.16 0.17 0.18 0.19 0.2 5. 0.01 more than 0.13. 6. 0.04 more than 0.16. 7. 0.01 less than 0.18. 8. 0.05 less than 0.17. Fill in the missing numbers. Number 0.1 More Than the Number 9. 4.7 10. 2.05 Number 11. 0.94 12. 3.8 0.1 Less Than the Number 0.01 More Than the Number 0.01 Less Than the Number Lesson 7.3 G4B_WB_Ch_07.indd 9 Comparing Decimals 9 2/25/09 3:16:44 AM Complete the number patterns. Use the number line to help you. 0 0.5 13. 0.2 0.4 0.6 14. 1.1 0.9 0.7 15. 0.1 0.4 16. 2.0 1.0 1.5 2.0 1.0 © 2009 Marshall Cavendish International (Singapore) Private Limited 0.8 0.4 Continue the number patterns. 17. 0.03 0.06 0.09 0.03 0.06 0.09 18. 0.16 0.20 0.24 0.24 0.20 0.16 10 G4B_WB_Ch_07.indd 10 Chapter 7 Decimals 2/25/09 3:16:44 AM Name: Date: Practice 4 Comparing Decimals Compare the two decimals in each table. Then fill in the blanks. Example Ones 0 0 © 2009 Marshall Cavendish International (Singapore) Private Limited 0.4 1. Ones 0 0 Tenths 4 3 Hundredths 8 0.38 is greater than Tenths 8 8 Hundredths 2 is greater than 2. Ones 0 0 Tenths 3 2 Ones 3 3 Tenths 0 1 . Hundredths 5 is less than 3. . . Hundredths 9 is less than . Lesson 7.3 G4B_WB_Ch_07.indd 11 Comparing Decimals 11 2/25/09 3:16:44 AM Compare. Write < or >. 4. 1.6 6. 0.11 1.8 0.07 5. 0.65 0.55 7. 2.12 2.21 Fill in the blanks with greater than, less than, or equal to. 8. 3.7 is 9. 0.15 is 0.51. 10. 0.20 is 2.05. 11. 2.3 is 2.30. Circle the greatest decimal and underline the least. 12. 0.5 0.53 0.03 13. 8.7 8.07 8.71 14. 1.03 1.3 0.13 15. 2.35 2.05 3.25 Write the decimals in order from least to greatest. 16. 3.33 3.03 3.30 17. 5.51 5.05 5.15 18. 1.04 0.41 4.10 19. 6.32 3.26 2.63 12 G4B_WB_Ch_07.indd 12 © 2009 Marshall Cavendish International (Singapore) Private Limited 0.37. Chapter 7 Decimals 2/25/09 3:16:44 AM Name: Date: Practice 5 Rounding Decimals Fill in the missing number in each box. Then round each decimal to the nearest whole number. Example 12 12.6 © 2009 Marshall Cavendish International (Singapore) Private Limited 12.6 rounded to the nearest whole number is 13 13 . 1. 36 35.3 35.3 rounded to the nearest whole number is . 2. 26 25.45 25.45 rounded to the nearest whole number is . 3. 46 46.56 46.56 rounded to the nearest whole number is . Lesson 7.4 G4B_WB_Ch_07.indd 13 Rounding Decimals 13 2/25/09 3:16:44 AM Round each measure. 4. 80.5 cm Round the height of the table to the nearest centimeter. 80.5 centimeters is about centimeters. Round the price of the shampoo to the nearest dollar. $ is about $ . 6. © 2009 Marshall Cavendish International (Singapore) Private Limited 5. Round the amount of detergent to the nearest liter. liters is about liters. 7. 10.3 m Round the length of the rope to the nearest meter. meters is about 14 G4B_WB_Ch_07.indd 14 meters. Chapter 7 Decimals 2/25/09 3:16:44 AM Name: Date: Practice 6 Rounding Decimals Fill in the missing number in each box. Then round each decimal to the nearest tenth. Example 8.2 8.14 8.1 8.1 © 2009 Marshall Cavendish International (Singapore) Private Limited 8.14 rounded to the nearest tenth is . 1. 11.1 11.15 11.15 rounded to the nearest tenth is . 2. 0.9 0.96 0.96 rounded to the nearest tenth is . 3. 7.53 7.53 rounded to the nearest tenth is . Lesson 7.4 G4B_WB_Ch_07.indd 15 Rounding Decimals 15 2/25/09 3:16:45 AM Round each measure. Ryan’s mass is 44.69 kilograms. Round his mass to the nearest tenth of a kilogram. 44.69 5. kilograms is about Susan’s height is 1.72 meters. Round her height to the nearest tenth of a meter. meters is about 6. miles. 1 inch is equal to 2.54 centimeters. Round 2.54 to the nearest tenth of a centimeter. centimeters is about 8. meters. The distance between Chong’s home and his school is 5.95 miles. Round the distance to the nearest tenth of a mile. miles is about 7. kilograms. centimeters. 1 pound is approximately equal to 0.45 kilogram. Round 0.45 to the nearest tenth of a kilogram. kilogram is about © 2009 Marshall Cavendish International (Singapore) Private Limited 4. kilogram. Round each decimal to the nearest whole number and the nearest tenth. Decimal 9. 10. 3.49 5.65 11. 12. 4.13 4.99 16 G4B_WB_Ch_07.indd 16 Rounded to the Nearest Whole Number Tenth Chapter 7 Decimals 2/25/09 3:16:45 AM Name: Date: Practice 7 Fractions and Decimals Write each fraction as a decimal. Example 9 10 © 2009 Marshall Cavendish International (Singapore) Private Limited 2. 0.9 3 100 1. 7 10 3. 51 100 4. 1 2 Express each fraction as a decimal. Hint: Make the denominator 10 or 100. Example 2 5 4 = 10 = 0.4 5. 5 2 6. 5 4 7. 7 20 8. 2 25 Lesson 7.5 G4B_WB_Ch_07.indd 17 Fractions and Decimals 17 2/25/09 3:16:45 AM Write each mixed number as a decimal. 5 9. 310 11. 85 3 10. 6 43 12. 1020 100 3 13. 0.3 14. 0.5 15. 5.2 16. 0.25 17. 4.08 18. 3.45 18 G4B_WB_Ch_07.indd 18 © 2009 Marshall Cavendish International (Singapore) Private Limited Write each decimal as a fraction or mixed number in simplest form. Chapter 7 Decimals 2/25/09 3:16:45 AM Name: Date: Challenging Practice Mark ✘ to show where each decimal is located on the number line. Label its value. 1. 1.2 © 2009 Marshall Cavendish International (Singapore) Private Limited 0 2. 0.4 0.8 0.03 0.06 0.12 0 Write any decimal that is 3. greater than 2 but less than 2.1. 4. greater than 1.1 but less than 1.2. Round 9.95 to 5. the nearest whole number. 6. the nearest tenth. Chapter 7 Decimals G4B_WB_Ch_07.indd 19 19 2/25/09 3:16:45 AM Put On Your Thinking Cap! Problem Solving The decimals in each exercise follow a pattern. Write the two missing decimals in each pattern. 0.01 0.14 0.4 2. 1.21 1.42 1.84 2.05 3. 0.48 0.39 0.21 0.12 4. 2.76 2.62 2.34 5. 0.01 0.02 0.04 0.07 0.11 6. 2.95 2.85 2.65 2.35 1.95 7. 0.38 0.4 0.36 0.38 0.34 8. 3.14 2.84 2.54 2.94 3.34 3.04 20 G4B_WB_Ch_07.indd 20 0.66 2.06 © 2009 Marshall Cavendish International (Singapore) Private Limited 1. Chapter 7 Decimals 2/25/09 3:16:45 AM
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