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Chapt Name: Date: er Adding and Subtracting Decimals Practice 1 Adding Decimals Fill in the blanks. Write each sum as a decimal. © 2009 Marshall Cavendish International (Singapore) Private Limited Example 1. 0.3 0.5 3 tenths 8 tenths 0.8 0.8 0.2 tenths 5 tenths tenths tenths 2. 0.7 0.7 tenths tenths tenths 3. 0.9 0.8 tenths tenths tenths Lesson 8.1 Adding Decimals G4B_WB_Ch_08.indd 21 21 2/25/09 3:23:07 AM Fill in the blanks. Line up the decimal points. Step 1 4. 4.8 3.6 Add the tenths. 8 tenths 6 tenths tenths Regroup the tenths. one and tenths Step 2 4.8 3.6 Add the ones. 4 ones 3 ones So, 4.8 3.6 one ones . © 2009 Marshall Cavendish International (Singapore) Private Limited tenths Add. 5. 8.5 2.3 6. 6.6 1.6 Write in vertical form. Then add. 7. 22 G4B_WB_Ch_08.indd 22 15.7 3.8 8. 22.9 7.2 Chapter 8 Adding and Subtracting Decimals 2/25/09 3:23:07 AM Name: Date: Practice 2 Adding Decimals Fill in the blanks. Write each sum as a decimal. Example © 2009 Marshall Cavendish International (Singapore) Private Limited 1. 0.02 0.04 2 hundredths 6 hundredths 0.06 0.03 0.07 hundredths 4 hundredths hundredths hundredths 2. 0.06 0.08 hundredths hundredths hundredths 3. 0.09 0.05 hundredths hundredths hundredths Lesson 8.1 Adding Decimals G4B_WB_Ch_08.indd 23 23 2/25/09 3:23:07 AM Fill in the blanks. 4. Step 1 Line up the decimal points. 2.34 0.87 Add the hundredths. 4 hundredths 7 hundredths hundredths hundredths tenth hundredth Step 2 2.34 0.87 Add the tenths. 3 tenths 8 tenths tenth tenths one and tenths Regroup the tenths. tenths © 2009 Marshall Cavendish International (Singapore) Private Limited Regroup the hundredths. Step 3 24 G4B_WB_Ch_08.indd 24 2.34 0.87 Add the ones. 2 ones 0 ones one So, 2.34 0.87 . ones Chapter 8 Adding and Subtracting Decimals 2/25/09 3:23:07 AM Name: Date: Add. 5. 0.02 0.35 6. 0.06 0.46 © 2009 Marshall Cavendish International (Singapore) Private Limited Write in vertical form. Then add. 7. $0.57 $0.29 $ 8. 3.6 0.54 9. $0.78 $0.88 $ 10. 7.25 1.78 Lesson 8.1 Adding Decimals G4B_WB_Ch_08.indd 25 25 2/25/09 3:23:07 AM Derek hops two steps on each number line. Which decimal does he land on? Write the correct decimal in each box. Example 2.42 0.9 0 1.0 2.0 3.0 4.0 11. 1.26 10.0 2.57 11.0 12. 51.0 13. 1.2 14.0 1.83 52.0 53.0 0.36 1.0 G4B_WB_Ch_08.indd 26 13.0 2.69 50.0 26 12.0 1.4 54.0 © 2009 Marshall Cavendish International (Singapore) Private Limited 3.32 55.0 0.38 1.6 1.8 2.0 Chapter 8 Adding and Subtracting Decimals 2/25/09 3:23:07 AM Name: Date: Practice 3 Subtracting Decimals Fill in the blanks. Write each difference as a decimal. Example © 2009 Marshall Cavendish International (Singapore) Private Limited 1. 0.9 0.4 9 tenths 5 tenths 0.5 1 0.3 tenths 4 tenths tenths tenths 2. 1.3 0.6 tenths tenths tenths 3. 1.8 0.9 tenths tenths tenths Lesson 8.2 G4B_WB_Ch_08.indd 27 Subtracting Decimals 27 2/25/09 3:23:07 AM Fill in the blanks. 4. Step 1 3.5 1.7 You cannot subtract 7 tenths from 5 tenths. So, regroup 3 ones and 5 tenths. 3 ones and 5 tenths ones and tenths Subtract the tenths. tenths 7 tenths tenths Step 2 3.5 1.7 Subtract the ones. ones G4B_WB_Ch_08.indd 28 one one So, 3.5 1.7 28 © 2009 Marshall Cavendish International (Singapore) Private Limited . Chapter 8 Adding and Subtracting Decimals 2/25/09 3:23:07 AM Name: Date: Subtract. 5. 6. 4.6 2.2 7.4 6.5 Write in vertical form. Then subtract. © 2009 Marshall Cavendish International (Singapore) Private Limited 7. 6.7 2.4 8. 3 1.3 Fill in the blanks. Write each difference as a decimal. Example 9. 0.08 0.02 8 hundredths 6 hundredths 0.06 0.23 0.19 hundredths 2 hundredths hundredths hundredths 10. 0.1 0.06 hundredths hundredths hundredths Lesson 8.2 G4B_WB_Ch_08.indd 29 Subtracting Decimals 29 2/25/09 3:23:07 AM Fill in the blanks. 11. Step 1 4.23 1.54 You cannot subtract 4 hundredths from 3 hundredths. So, regroup 2 tenths 3 hundredths. 2 tenths 3 hundredths tenth hundredths Subtract the hundredths. hundredths hundredths hundredths Step 2 4.23 1.54 tenth. You cannot subtract 5 tenths from So, regroup 4 ones and 4 ones and © 2009 Marshall Cavendish International (Singapore) Private Limited tenth. tenth ones and tenths Subtract the tenths. tenths 5 tenths 30 G4B_WB_Ch_08.indd 30 tenths Chapter 8 Adding and Subtracting Decimals 2/25/09 3:23:07 AM Name: Date: Step 3 4.23 1.54 Subtract the ones. ones 1 one So, 4.23 1.54 ones . © 2009 Marshall Cavendish International (Singapore) Private Limited Subtract. 13. 0.39 0.07 15. 2.35 0.48 17. 10.13 7.18 12. 14. 16. 0.51 0.36 12.45 10.63 20 14.56 Lesson 8.2 G4B_WB_Ch_08.indd 31 Subtracting Decimals 31 2/25/09 3:23:07 AM 18. 5.38 2.73 19. 1.06 0.38 20. 5.6 1.72 21. 3 0.42 32 G4B_WB_Ch_08.indd 32 © 2009 Marshall Cavendish International (Singapore) Private Limited Write in vertical form. Then subtract. Chapter 8 Adding and Subtracting Decimals 2/25/09 3:23:07 AM Name: Date: Practice 4 Real-World Problems: Decimals Solve. Show your work. Example 1 pound of grapes costs $1.79 and 1 pound of peaches costs $1.49. What is the total cost of 1 pound of grapes and 1 pound of peaches? © 2009 Marshall Cavendish International (Singapore) Private Limited Cost of grapes + cost of peaches = total cost $1.79 + $1.49 = $3.28 The total cost of 1 pound of grapes and 1 pound of peaches is $3.28. 1. A tank is full of water. After 16.5 liters of water are used, 8.75 liters of water are left. How much water was in the full tank? 2. A piece of fabric is 4.5 yards long. A customer buys 2.35 yards of the fabric. How many yards of fabric are left? 3. Mr. Larson lives 8.7 miles from school. He was driving home from school and stopped 3.5 miles along the way at a supermarket. How much farther does he have to drive before he reaches home? Lesson 8.3 G4B_WB_Ch_08.indd 33 Real-World Problems: Decimals 33 2/25/09 3:23:07 AM A grocery store is having a sale. A loaf of wheat bread regularly costs $2.29, but the sale price is $1.79. The store is also offering 50c/ off on a gallon of fresh milk. If Mrs. Larson buys a gallon of fresh milk and a loaf of wheat bread, how much does she save on her purchases? 5. Lily bought a skirt for $25.90 and a shirt for $19.50. She paid the cashier $50. How much change did she receive? 6. Shannon collects rainwater to water her flowers. She has one bucket with 3.4 gallons of water and another with 1.85 gallons less. She uses both buckets to water the flowers. How many gallons of water does she use? 34 G4B_WB_Ch_08.indd 34 © 2009 Marshall Cavendish International (Singapore) Private Limited 4. Chapter 8 Adding and Subtracting Decimals 2/25/09 3:23:07 AM Name: Date: Put On Your Thinking Cap! © 2009 Marshall Cavendish International (Singapore) Private Limited Challenging Practice 1. Miguel subtracts two numbers and gets the answer 4.95. The lesser of the two numbers is 3.4. What is the other number? 2. Julia subtracts two numbers and gets the answer 6.8. The greater of the two numbers is 10.55. What is the other number? Chapter 8 Adding and Subtracting Decimals G4B_WB_Ch_08.indd 35 35 2/25/09 3:23:07 AM Put On Your Thinking Cap! Problem Solving 1. The number in each rectangle is the sum of the numbers in the two circles next to it. Find the numbers in the circles. 1.4 0.9 B C 1.7 2. 36 G4B_WB_Ch_08.indd 36 Each week, Rena saves $5. Her brother saves $2.50 less each week, but he started saving 4 weeks earlier. After how many weeks will Rena’s savings be equal to her brother’s? © 2009 Marshall Cavendish International (Singapore) Private Limited A Chapter 8 Adding and Subtracting Decimals 2/25/09 3:23:07 AM