Name: Date: Mental Math and Estimation R C H A PTE 10 Lesson 1 Meaning of Sum Find the sum of the numbers. 1. 512 and 350 + 5 1 3 5 2 0 350 512 ? © 2009 Marshall Cavendish International (Singapore) Private Limited. Copying is permitted; see page ii. The sum of 2. and is . is . is . 469 and 108 4 + 1 108 469 6 9 0 8 ? The sum of 3. and 275 and 354 + 2 7 5 3 5 4 354 275 ? The sum of and Extra Practice 2B MS_Extra Practice_2B_Ch10_001-020.indd 1 1 3/26/09 10:34:43 AM Name: Date: Solve. Use bar models to help you. 4. Julia saves $240. Warrick saves $550. Find the sum of money they save. $550 $240 ? 5. . © 2009 Marshall Cavendish International (Singapore) Private Limited. Copying is permitted; see page ii. The sum of money they save is $ Alan writes two numbers. One number is 529. The other number is 360. Find the sum of the two numbers. 529 360 ? The sum of the two numbers is 2 . Chapter 10 Lesson 1 MS_Extra Practice_2B_Ch10_001-020.indd 2 3/26/09 10:34:44 AM Name: Date: Lesson 2 Mental Addition Add mentally. Fill in the blanks. 1. 24 + 3 = 2. 65 + 4 = 3. 87 + 2 = 4. 36 + 3 = 5. 54 + 5 = 6. 71 + 6 = Find the missing numbers. Add mentally. © 2009 Marshall Cavendish International (Singapore) Private Limited. Copying is permitted; see page ii. 7. 35 + 6 = ? 35 + = 6 – = 4 . So, 35 + 6 = 8. 10 67 + 5 = ? = 67 + – So, 67 + 5 = = . Extra Practice 2B MS_Extra Practice_2B_Ch10_001-020.indd 3 3 3/26/09 10:34:44 AM Name: Date: 9. 86 + 8 = 10. 26 + 9 = 11. 49 + 3 = 12. 58 + 4 = Find the missing numbers. Add mentally. 13. 236 + 2 = ? 6 236 = 6+ 230 + = 14. 473 + 2 = 15. 765 + 3 = 16. 267 + 1 = 17. 365 + 4 = 18. 549 + 7 = ? 7 10 = 549 + 3 – So, 549 + 7 = 4 = . © 2009 Marshall Cavendish International (Singapore) Private Limited. Copying is permitted; see page ii. . So, 236 + 2 = Chapter 10 Lesson 2 MS_Extra Practice_2B_Ch10_001-020.indd 4 3/26/09 10:34:44 AM Name: Date: 19. 388 + 9 = 20. 454 + 7 = 21. 356 + 9 = 22. 157 + 3 = Find the missing numbers. Add mentally. 23. 425 + 30 = ? 20 425 + 30 = 405 + = . © 2009 Marshall Cavendish International (Singapore) Private Limited. Copying is permitted; see page ii. So, 425 + 30 = 24. 716 + 50 = 25. 549 + 50 = 26. 657 + 40 = 27. 835 + 30 = Find the missing numbers. Add mentally. 28. 677 + 60 = ? 70 100 = 677 + 30 – So, 677 + 60 = = . Extra Practice 2B MS_Extra Practice_2B_Ch10_001-020.indd 5 5 3/26/09 10:34:44 AM Name: Date: 29. 351 + 70 = 30. 864 + 90 = 31. 786 + 80 = 32. 472 + 60 = Fill in the missing numbers. Add mentally. 33. 267 + 200 = ? 200 267 + 200 = 67 + 67 = . 34. 351 + 200 = 35. 864 + 100 = 36. 408 + 500 = 37. 682 + 200 = 6 © 2009 Marshall Cavendish International (Singapore) Private Limited. Copying is permitted; see page ii. So, 267 + 200 = Chapter 10 Lesson 2 MS_Extra Practice_2B_Ch10_001-020.indd 6 3/26/09 10:34:44 AM Name: Date: Lesson 3 Meaning of Difference Find the difference between the numbers. 1. 82 82 – 37 8 2 – 3 7 37 ? The difference between 82 and 37 is © 2009 Marshall Cavendish International (Singapore) Private Limited. Copying is permitted; see page ii. 2. 650 650 – 420 6 5 0 – 4 2 0 420 ? The difference between 650 and 420 is 3. . . 900 900 – 575 9 0 0 – 5 7 5 575 ? The difference between 900 and 575 is . Extra Practice 2B MS_Extra Practice_2B_Ch10_001-020.indd 7 7 3/26/09 10:34:44 AM Name: Date: Solve. Use bar models to help you. 4. Sally sold 450 burgers. Jenny sold 230 burgers. Find the difference between the number of burgers they sold. 450 ? The difference is 5. burgers. Kaylene baked 150 muffins on Tuesday. She baked 77 muffins on Thursday. What is the difference between these two amounts? 150 77 ? The difference is 8 muffins. © 2009 Marshall Cavendish International (Singapore) Private Limited. Copying is permitted; see page ii. 230 Chapter 10 Lesson 3 MS_Extra Practice_2B_Ch10_001-020.indd 8 3/26/09 10:34:44 AM Name: Date: Lesson 4 Mental Subtraction Subtract mentally. Fill in the blanks. 1. 29 – 2 = 2. 47 – 1 = 3. 65 – 4 = 4. 54 – 4 = 5. 79 – 7 = 6. 88 – 6 = Find the missing numbers. Subtract mentally. © 2009 Marshall Cavendish International (Singapore) Private Limited. Copying is permitted; see page ii. 7. 53 – 9 = ? 9 10 – 10 = 1 + So, 53 – 9 = 8. = . 74 – 6 = ? – 10 = + So, 74 – 6 = = . Extra Practice 2B MS_Extra Practice_2B_Ch10_001-020.indd 9 9 3/26/09 10:34:45 AM Name: Date: 9. 61 – 7 = 10. 32 – 9 = 11. 42 – 8 = 12. 94 – 5 = Find the missing numbers. Subtract mentally. 13. 536 – 5 = ? 6 536 –5= 530 + = . 14. 688 – 4 = 15. 829 – 7 = 16. 529 – 1 = 17. 486 – 4 = 18. 473 – 5 ?= 5 10 = 473 – 5 + So, 473 – 5 = 10 = . © 2009 Marshall Cavendish International (Singapore) Private Limited. Copying is permitted; see page ii. So, 536 – 5 = Chapter 10 Lesson 4 MS_Extra Practice_2B_Ch10_001-020.indd 10 3/26/09 10:34:45 AM Name: Date: 19. 764 – 8 = 20. 821 – 9 = 21. 423 – 5 = 22. 651 – 7 = Find the missing numbers. Subtract mentally. 23. 492 – 30 = ? 90 492 – 30 = 402 + = © 2009 Marshall Cavendish International (Singapore) Private Limited. Copying is permitted; see page ii. So, 492 – 30 = . 24. 286 – 60 = 25. 763 – 50 = 26. 258 – 10 = 27. 657 – 40 = Find the missing numbers. Add mentally. 28. 361 – 70 = ? 70 100 – 100 = 30 + So, 361 – 70 = = . Extra Practice 2B MS_Extra Practice_2B_Ch10_001-020.indd 11 11 3/26/09 10:34:45 AM Name: Date: 29. 530 – 90 = 30. 240 – 50 = 31. 560 – 80 = 32. 820 – 90 = Find the missing numbers. Subtract mentally. 33. 428 – 200 = ? 28 428 – 200 = 400 So, 428 – 200 = = . 34. 645 – 300 = 35. 831 – 600 = 36. 780 – 400 = 37. 905 – 700 = 12 © 2009 Marshall Cavendish International (Singapore) Private Limited. Copying is permitted; see page ii. + Chapter 10 Lesson 4 MS_Extra Practice_2B_Ch10_001-020.indd 12 3/26/09 10:34:45 AM Name: Date: Lesson 5 Rounding Numbers to Estimate Mark each number with an ✗ on the number line. Round each number to the nearest ten. Circle it on the number line. Then fill in the blanks. 16 10 1. 16 is nearer to © 2009 Marshall Cavendish International (Singapore) Private Limited. Copying is permitted; see page ii. 16 is about 2. 23 is nearer to 23 is about 3. 32 is nearer to 32 is about 4. 44 is nearer to 44 is about 23 20 44 32 30 than to 40 50 . when rounded to the nearest ten. than to . when rounded to the nearest ten. than to . when rounded to the nearest ten. than to . when rounded to the nearest ten. Extra Practice 2B MS_Extra Practice_2B_Ch10_001-020.indd 13 13 3/26/09 10:34:45 AM Name: Date: Look at the digits in the tens place. Then fill in the blanks. 5. 78 78 is between and . 6. 91 91 is between and . 7. 458 458 is between and . 8. 853 853 is between and . Number Number line Write using ‘is about’ 9. 425 420 430 is about . 10. 652 650 660 is about . 11. 856 850 860 is about . 14 © 2009 Marshall Cavendish International (Singapore) Private Limited. Copying is permitted; see page ii. Mark each number with an ✗ on the number line. Round each number to the nearest ten. Circle the number on the number line. Then fill in the last column of the table. Chapter 10 Lesson 5 MS_Extra Practice_2B_Ch10_001-020.indd 14 3/26/09 10:34:45 AM Name: Date: Complete the table. © 2009 Marshall Cavendish International (Singapore) Private Limited. Copying is permitted; see page ii. Number Rounded to the nearest ten Write using ’is about’ 12. 98 is about . 13. 125 is about . 14. 369 is about . 15. 424 is about . 16. 652 is about . 17. 856 is about . The numbers in each problem are rounded to the nearest ten. Find the greatest and least number that was rounded. Use the number line to help you. 18. A camera costs about $50. 45 50 55 The greatest amount the camera could cost is $ The least amount the camera could cost is $ . . Extra Practice 2B MS_Extra Practice_2B_Ch10_001-020.indd 15 15 3/26/09 10:34:45 AM Name: A swimming pool is about 80 meters long. 75 80 The greatest length the pool could be is The least length the pool could be is 20. meters. meters. The mass of a bag of rice is about 500 grams. 495 500 The greatest mass of the rice could be The least mass of the rice could be 16 85 505 grams. grams. © 2009 Marshall Cavendish International (Singapore) Private Limited. Copying is permitted; see page ii. 19. Date: Chapter 10 Lesson 5 MS_Extra Practice_2B_Ch10_001-020.indd 16 3/26/09 10:34:45 AM Name: Date: Find the sum or difference. Then round each number to the nearest ten. Estimate the sum or difference to check that the answer is reasonable. 21. 268 + 323 = 268 is about . 323 is about . + = So, 268 + 323 is about . © 2009 Marshall Cavendish International (Singapore) Private Limited. Copying is permitted; see page ii. Is the answer reasonable? Explain. 22. 479 – 124 = 479 is about . 124 is about . – So, 479 – 124 is about = . Is the answer reasonable? Explain. Extra Practice 2B MS_Extra Practice_2B_Ch10_001-020.indd 17 17 11/2/09 9:19:25 AM Name: Date: Find the sum or difference. Then round each number to the nearest ten. Estimate the sum or difference to check that the answer is reasonable. 23. 235 + 552 = Check: + = Is the answer reasonable? Explain. 574 − 296 = Check: – = Is the answer reasonable? Explain. 18 © 2009 Marshall Cavendish International (Singapore) Private Limited. Copying is permitted; see page ii. 24. Chapter 10 Lesson 5 MS_Extra Practice_2B_Ch10_001-020.indd 18 3/26/09 10:34:46 AM Name: Date: Fill in the missing numbers or words. 25. Daniel has $100 to buy these items. Round the cost of each item to the nearest ten. Then estimate the total cost. A school bag costs $38. when rounded to the nearest ten. a. $38 is A box of crayons costs $11. when rounded to the nearest ten. b. $11 is © 2009 Marshall Cavendish International (Singapore) Private Limited. Copying is permitted; see page ii. A pair of shoes costs $27. c. when rounded to the nearest ten. $27 is A textbook costs $18. when rounded to the nearest ten. d. $18 is The estimated total cost is $ . Does Daniel have enough money to pay for all the items? . Extra Practice 2B MS_Extra Practice_2B_Ch10_001-020.indd 19 19 3/26/09 10:34:46 AM Name: Date: Put on Your Thinking Cap! Juliana thinks of two numbers. The sum of the two numbers is 20. The difference between the two numbers is 6. What are the numbers? The numbers are 2. and Study the numbers in A. Use the pattern in A to find the missing numbers in B. 28 13 4 ? 15 9 20 6 A The missing numbers are 20 . 12 ? 8 16 B and © 2009 Marshall Cavendish International (Singapore) Private Limited. Copying is permitted; see page ii. 1. . Chapter 10 Put on Your Thinking Cap! MS_Extra Practice_2B_Ch10_001-020.indd 20 3/26/09 10:34:46 AM
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