1 / 19

Using Estimation Strategies

Round to the place of the underlined digit. 1. 3,528 2. 24,106 3. 54 4. 131,295 5. 449 6. 4,951 7. 229,999 8. 82,729 9. 998 10. Round 3,507 to the nearest ten, nearest hundred, and nearest thousand. Solutions 1. 2. round down; 3,500 round up; 24,110

erin-parsons
Télécharger la présentation

Using Estimation Strategies

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Round to the place of the underlined digit. 1. 3,528 2. 24,106 3. 54 4. 131,295 5. 449 6. 4,951 7. 229,999 8. 82,729 9. 998 10. Round 3,507 to the nearest ten, nearest hundred, and nearest thousand. Solutions 1. 2. round down; 3,500 round up; 24,110 3. 50 4. 130,000 5. 400 6. 5,000 7. 200,000 8. 83,000 9. 1,000 10. 3,510; 3,500; 4,000 Using Estimation Strategies COURSE 2 LESSON 1-1 (For help, go to Skills Handbook p. 697.) 1-1

  2. Place Value

  3. Estimation There are three types of Estimation: (that we are going to look at) 1. Estimate by rounding 2. Front-end estimation (useful for finding sums) 3. Compatible numbers (useful for division)

  4. 78.96 + 58.31 80 + 60 Round to the nearest whole number. 140 Add. Estimate by Rounding COURSE 2 LESSON 1-1 At the zoo, you see a Colombian black spider monkey. The length of its body is 58.31 cm. The length of its tail is 78.96 cm. To the nearest centimeter, estimate the total length of the monkey’s body and tail. Estimation should be quick and easy and DONE IN YOUR HEAD! 1. ADD/SUB: Decide which place is best to round to and then round all numbers to that place. (Usually the highest place in the smallest number) 2. Perform the given operation using the rounded numbers. 3. Give your answer with an approximately equal to () sign and units. The total length is about 140 cm. 1-1

  5. Round each factor its highest place value. 8.75 9 18.5 20 20  9 = 180 Multiply. Estimate by Rounding COURSE 2 LESSON 1-1 A rectangular kitchen is 18.5 ft long and 8.75 ft wide. Use rounding to estimate the area of the kitchen in square feet. When estimating with multiplication, round each factor to its highest place value. You should only have to multiply a single digit times a single digit. Remember, the zeros only hold the place value, so they can be put back when the multiplication is complete. The area of the kitchen is about 180 ft2. 1-1

  6. Practice

  7. Homework • Homework • Section 1-1 # 1-6

  8. Homework • Homework • Section 1-1 # 7-12 • Estimate first, then do the actual multiplication to see how close your estimate was

  9. Front-End Estimation Very useful for finding sums of several items. (for example when shopping or in line at McD’s) 1. Add the front-end digits 2. Estimate the sum of the lesser numbers and adjust the sum appropriately. $2.87 $6.33 $4.11 $3.95 About 1 whole First add the front-end numbers So add 2 to your front-end estimate About 1 whole So this trip to the store should cost you about $17. $15. + 2 = 17

  10. } $3.79 $1.39 $0.89 about $1 about $1 $2 = $6 $3.79 $1.39 + $0.89 $4 Front-End Estimation COURSE 2 LESSON 1-1 At a snack shop, you order a taco that costs $3.79, a juice that costs $.89, and a yogurt that costs $1.39. Estimate the total cost of your order. Step 1: Add the front-end digits. Step 2: Estimate the total number of cents to the nearest dollar. The total cost is about $6. 1-1

  11. 58.80 8.25 Set up the quotient. 1. Round the divisor. 2. Choose a number that goes in evenly, (i.e. is compatible.) ___ 7 Simplify. Estimation by Compatible Numbers COURSE 2 LESSON 1-1 Suppose you have saved $58.80. About how many CDs can you buy if each costs $8.25? 56 8 You can buy about 7 CDs. 1-1

  12. Examples

  13. Homework Assignment Read 1-1 do #’s 20-26

  14. ` COURSE 2 LESSON 1-1 Pages 7–9 Exercises 1. about 11 2. about 8 3. about 19 4. about 3 5. about 3 6. about 8 7. about 60 8. about 125 9. about 891 10. about 18 11. about 168 12. about 40 13. about 660 mi 14. about 8 15. about 19 16. about 13 17. about 14 18. about 40 19. about 6 20. about 9 21. about 4 22. about 9 23. about 10 24. about 4 1-1

  15. ` COURSE 2 LESSON 1-1 Pages 7–9 Exercises • about 50 • (59.78) • about 150 • (120.33917) • 9. about 900 • (900.9484) • about 18 • (19.9703) • about 100 • (162.7024) • about 40 • (40.7745) 1-1

  16. Using Estimation Strategies COURSE 2 LESSON 1-1 34. Answers may vary. Sample: Front-end estimation would show your answer should be about 400. 35. a. Answers may vary. Sample: about 6,600 lb b. Answers may vary. Sample: 15 of the 198.7-lb boxes and 3 of the 287.2-lb boxes for a total of 18 boxes 36. Answers may vary. Sample: about $6.80 25. about 2 26. about 8 boxes 27–32. Answers may vary. Samples are given. 27. about 43.3; estimate by rounding each number to the nearest whole number. 28. about 4,296; rounding makes it easier to get an estimate. 29. about 40; 360 is compatible with 9. 30. about 1,425; front-end estimation 31. about 8; rounding 4  2 = 8 32. 4; use compatible numbers 8 ÷ 2 33. about 3 mi/h more 1-1

  17. Using Estimation Strategies COURSE 2 LESSON 1-1 37–39. Answers may vary. Samples are given. 37. about $2 38. about $1 39. about $4 40. about 36 41. about $56 42. about 175 43. Anchorage: about 45 in. El Paso: about 24 in. Indianapolis: about 120 in. Miami: about 180 in. Pago Pago: about 600 in. San Jose: about 210 in. South Pole Sta.: about 0 in. 44. Round one of the numbers, then find a multiple of that number that is near the other number. 45–48.  Answers may vary. Samples are given. 45. about 33 46. about 200 1-1

  18. 53. A 54. H 55. D 56.[2] $54 with reasonable justification [1] correct answer, without error in either estimate or justification 57. 4; 40; 403; 4,004 58. 7,068, 7,618, 7,680, 7,681 47. about 100 48. about 2,634 49. The second choice; the first choice cost about $33 per dozen. The second choice cost only about $30 per dozen. 50. The first choice; the first choice is less than $3 per pair while the second choice is more than $3 per pair. 51. Answers may vary. Sample: about $18 52. 899 Using Estimation Strategies COURSE 2 LESSON 1-1 1-1

  19. Using Estimation Strategies COURSE 2 LESSON 1-1 59. two hundred forty-eight and nine tenths 60. four hundred thirty-one and eighty-five hundredths 61. four and twenty-eight hundredths 62. one hundred thirty and three hundred ninety-six thousandths 1-1

More Related