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&&66 &RPSDUHWZRGHFLPDOVWRWKRXVDQGWKVEDVHGRQPHDQLQJVRIWKH NS 1.1*1%7E Estimate, round, and manipulate very large (e.g., millions) and GLJLWVLQHDFKSODFHXVLQJ! DQGV\PEROVWRUHFRUGWKHUHVXOWVRIFRPSDULVRQV UNDERLYING SKILLS AND CONCEPTS: very small (e.g., thousandths) numbers. understand decimals; understand decimal place value; compare numbers; order numbers Compare and Order Decimals A number line can help you compare two decimals. The decimal that is the most to the right is the greatest of the two. I am on the right. So I am greater. Hey! I am on the left of him. 20.8 20.81 20.82 20.83 20.84 20.85 20.86 20.87 20.88 20.89 20.9 10.91 Another way to compare decimals is to write them in a place value table. As you go from the left to the right, the decimal with the first digit that is greater is the greater of the two. So, the Tens Ones Tenths Hundredths Thousandths 6 , 4 2 5 . 1 2 7 6 , 4 2 5 . 1 4 0 They all look the same to me here. E x am p l E second decimal is greater! 4 is greater than 2. E – © CSL Associates, Inc. All rights reserved. Thousands Hundreds 1 Is 3.17 greater than 3.21? On the number line, mark 3.17 with an X and 3.21 with O. 3.1 3.11 3.12 3.13 3.14 3.15 3.16 X 3.17 3.18 3.19 3.2 O 3.21 Which one is the most on the right? The O. So, 3.21 is greater than 3.17. 3.17 is smaller than 3.21. E x am p l E Which decimal is greater? 3,709.810 2 Thousands Hundreds 3 3 , , 7 7 Tens 0 0 Ones 9 9 Tenths . . 8 8 Hundredths Thousandths 1 0 0 9 same page 140 Chapter 12 – Lesson 4 Name P RAC T I C E Put letters on the number line to show the decimals. Use or to indicate which is greater. 1. Put an O at 9.11 Put an X at 8.99 9.11 > 8.99 8.99 9.01 9 9.02 9.03 9.04 9.05 9.06 9.07 9.08 9.09 9.11 9.1 Put letters on the number line to show the decimals. Write them from least to greatest. 2. Put an O at 9.01 8.99 9.01 9 8.99 9.01 9.07 Put an X at 8.99 Put a V at 9.07 9.02 9.03 9.04 9.05 9.06 9.07 9.08 9.09 9.11 9.1 Write the decimals in the place value table. Then, write them from least to greatest. 3. Thousands Hundreds Write 1,360.927 Write 2,097.359 Write 2,097.342 Tens , , Tenths Hundredths Thousandths . . 1,360.927 2,097.342 2,097.359 From least to greatest, they are: E – © CSL Associates, Inc. All rights reserved. Ones Compare. Use , , or . 4. 0.2 8. 4.231 > > 0.02 4.213 5. 1.9 9. 6.009 < < 2 6.01 6. 2.07 10. 10.93 < > 2.7 10.9 7. 3.09 11. 11.27 < < 3.13 12.35 Answer each question. 12. Randy ran the race in 35.29 seconds. Larry ran it in 35.32 seconds. Who came in first? 13. Sandra saw a dress advertised for $35.45 in store A, and for $35.54 in store B. Which store is more expensive? Math Reasoning Compare and Sequence Randy Store B MR 2.3, 2.6 14. What is the difference between 0.05, 0.5, and 0.50? Explain your answer, and tell which number is the smallest. 0.05 is five hundredths, 0.5 is five tenths, 0.50 is fifty hundredths. Fifty out of one hundred is the same as five out of ten. 0.05 is the smallest amount. Chapter 12 – Lesson 4 page 141 MCX94.HW.CL.G5.FM&Lesson.v211 8/2/04 18:02 Page 96 Name …at home! P RAC T I C E Put letters on the number line to show the decimals. Use or to indicate which is greater. 1. Put an O at 9.09 Put an X at 9.11 9.09 < 9.11 8.99 9.01 9 9.02 9.03 9.04 9.05 9.06 9.07 9.08 9.09 9.11 9.1 Put letters on the number line to show the decimals. Write them from least to greatest. 2. Put an O at 5.291 5.289 Put an X at 5.301 < 5.291 5.291 5.292 5.293 5.294 5.295 5.296 5.297 5.298 5.299 5.29 5.301 5.3 5.301 Write the decimals in the place value table. Then, write them from least to greatest. Thousands Hundreds Write 1,260.843 Write 2,163.850 Write 2,163.846 Tens Ones , , Tenths Hundredths Thousandths . . , 1,260.843 From least to greatest, they are: 2,163.846 2,163.850 Compare. Use , , or . 4. 0.4 8. 4.251 > > 0.04 4.215 5. 2.8 9. 6.018 < < 3 6.02 6. 2.05 10. 10.46 < > 2.5 10.4 7. 2.09 11. 12.46 < < 2.14 12.52 Answer each question. 12. Rafael ran the race in 28.25 seconds. John ran it in 28.31 seconds. Rafael Who came in first? 13. Marcia saw a dress advertised for $28.65 in store A, and for $28.56 in store B. Which store is more expensive? Math Reasoning Store A Compare and Sequence MR 2.3, 2.6 14. What is the difference between 0.08, 0.8, and 0.80? Explain your answer, and tell which number is the smallest. 0.08 is eight hundredths, 0.8 is eight tenths, 0.80 is eighty hundredths. Eighty out of one hundred is the same as eight out of ten. 0.08 is the smallest amount. page 96 Home Resource and Homework Chapter 12 Lesson 4 E – © CSL Associates, Inc. All rights reserved. 3. MCX94TEG5CH01_32.v7.4.2 2/24/01 19:45 Page 261 Name P RAC T I C E Put letters on the number line to show the decimals. Use or to indicate which is greater. 1. Put an O at 9.11 Put an X at 8.99 9.11 > 8.99 X 8.99 9.01 9 9.02 9.03 9.04 9.05 9.06 9.07 9.08 9.09 O 9.11 9.1 Put letters on the number line to show the decimals. Write them from least to greatest. 2. Put an O at 9.01 X 8.99 O 9.01 9 8.99 9.01 9.07 Put an X at 8.99 Put a V at 9.07 9.02 9.03 9.04 9.05 9.06 V 9.07 9.08 9.09 9.11 9.1 Write the decimals in the place value table. Then, write them from least to greatest. 3. Thousands Hundreds Write 1,360.927 Write 2,097.359 Write 2,097.342 1 2 2 , , Tens 3 0 0 6 9 9 0 7 7 Tenths Hundredths Thousandths 9 3 3 . . 2 5 4 7 9 2 1,360.927 2,097.342 2,097.359 From least to greatest, they are: E – © CSL Associates, Inc. All rights reserved. Ones Compare. Use , , or . 4. 0.2 8. 4.231 > > 0.02 4.213 5. 1.9 9. 6.009 < < 2 6.01 6. 2.07 10. 10.93 < > 2.7 10.9 7. 3.09 11. 11.27 < < 3.13 12.35 Answer each question. 12. Randy ran the race in 35.29 seconds. Larry ran it in 35.32 seconds. Who came in first? 13. Sandra saw a dress advertised for $35.45 in store A, and for $35.54 in store B. Which store is more expensive? Math Reasoning Compare and Sequence Randy Store B MR 2.3, 2.6 14. What is the difference between 0.05, 0.5, and 0.50? Explain your answer, and tell which number is the smallest. 0.05 is five hundredths, 0.5 is five tenths, 0.50 is fifty hundredths. Fifty out of one hundred is the same as five out of ten. 0.05 is the smallest amount. Chapter 12 – Lesson 4 Student Book Page page 141 Name …at home! P RAC T I C E Put letters on the number line to show the decimals. Use or to indicate which is greater. 1. Put an O at 9.09 Put an X at 9.11 9.09 < 9.11 O 8.99 9.01 9 9.02 9.03 9.04 9.05 9.06 9.07 9.08 X 9.09 9.11 9.1 Put letters on the number line to show the decimals. Write them from least to greatest. 2. Put an O at 5.291 Put an X at 5.301 < 5.291 5.301 X O 5.289 5.291 5.292 5.293 5.294 5.295 5.296 5.297 5.298 5.299 5.29 5.3 5.301 Write the decimals in the place value table. Then, write them from least to greatest. Thousands Hundreds Write 1,260.843 Write 2,163.850 Write 2,163.846 1 2 2 , , , 2 1 1 Tens Ones 6 6 6 0 3 3 Tenths 8 8 8 . . 1,260.843 From least to greatest, they are: Hundredths Thousandths 4 5 4 2,163.846 3 0 6 2,163.850 Compare. Use , , or . 4. 0.4 8. 4.251 > > 0.04 4.215 5. 2.8 9. 6.018 < < 3 6.02 6. 2.05 10. 10.46 < > 2.5 10.4 7. 2.09 11. 12.46 < < 2.14 12.52 Answer each question. 12. Rafael ran the race in 28.25 seconds. John ran it in 28.31 seconds. Rafael Who came in first? 13. Marcia saw a dress advertised for $28.65 in store A, and for $28.56 in store B. Which store is more expensive? Math Reasoning Store A Compare and Sequence MR 2.3, 2.6 14. What is the difference between 0.08, 0.8, and 0.80? Explain your answer, and tell which number is the smallest. 0.08 is eight hundredths, 0.8 is eight tenths, 0.80 is eighty hundredths. Eighty out of one hundred is the same as eight out of ten. 0.08 is the smallest amount. page 96 Home Resource and Homework Chapter 12 Lesson 4 E – © CSL Associates, Inc. All rights reserved. 3.