1. Welcome to this IRSC Adult Education Live Virtual Lesson Diana Lenartiene, Ed. S. moderator/instructor

2. Elluminate Meeting/Classroom 2 Introducing… your virtual classroom 6/10/2008; updated: 10/3/11

3. Emoticons Respond to poll Chat Adjust volume

4. 6/10/2008; updated: 10/3/11 Elluminate Meeting/Classroom 4

5. 6/10/2008; updated: 8/4/2009 Elluminate Meeting/Classroom 5

6. 6/10/2008; updated: 8/4/2009 Elluminate Meeting/Classroom 6

8. What is rounding? Rounding means changing a number to a given place value so that all the digits to the right of that number become zeros, that is why it is called rounding. Example: Round 365 to the nearest ten. Answer: 370 Notice that the 5 in 365 is now a zero, and the six has moved up to a 7.

9. THE ROUNDING POEM Find your number. Look right next door. 4 or less just ignore. 5 or more, add 1 more.

10. Round this number to the nearest ten thousand. Find your number. 3 6 8,9 7 1 Circle the number in the ten thousands place.

11. Round this number to the nearest ten thousand. Look right next door. 3 6 8,9 7 1 Draw an arrow to the right of the number.

12. Round this number to the nearest ten thousand. 4 or less, just ignore. 3 6 8,9 7 1 8 is larger than 4 so go to the next line of the poem.

13. Round this number to the nearest ten thousand. 5 or more, add 1 more. 3 6 8,9 7 1 Add 1 to the 6. +1

14. Round this number to the nearest ten thousand. 5 or more, add 1 more. 3 7 0,0 0 0 Add 1 to the 6 and all the numbers to the right of the 7 become 0’s.

15. The Answer 368,971 rounded to the nearest ten thousand is 3 7 0,0 0 0

16. Round this number to the nearest thousand. Find your number. 3 5, 3 2 7 Circle the number in the thousands place.

17. Round this number to the nearest thousand. Look right next door. 3 5, 3 2 7 Draw an arrow to the right of the number.

18. Round this number to the nearest thousand. 4 or less, just ignore. 3 5, 3 2 7 Since 3 is less than 4 we do not change the 5.

19. Round this number to the nearest thousand. 4 or less, just ignore. 3 5, 0 0 0 Change the numbers to left of 5 to 0’s.

20. The Answer 35,327 rounded to the nearest thousand is 3 5, 0 0 0

21. Round this number to the nearest dollar. Find your number. $ 5. 8 7 Circle the number where the dollars are.

22. Round this number to the nearest dollar. Look right next door. $ 5. 8 7 Draw an arrow to the right of the circled number.

23. Round this number to the nearest dollar. 4 or less, just ignore. $ 5. 8 7 8 is greater than 4 so go to the next line of the poem.

24. Round this number to the nearest dollar. 5 or more, add 1 more. $ 5. 8 7 Since 8 is greater than 5 add 1 to the 5. +1

25. Round this number to the nearest dollar. 5 or more, add 1 more. $ 6. 0 0 Change the 5 to a 6 and change all the numbers to the right to 0’s.

26. The Answer $5.87 rounded to the nearest dollar is $ 6. 0 0

32. ESTIMATION Three Types of Estimation 1.Measurement Estimation 2.Quantity Estimation 3.Computational Estimation 1. If I can drive 326 miles on 15 gallons of gasoline what is my approximate mpg? 2. Is 10 dollars enough to buy 5 drinks that cost $2.19 each?

33. A Computational Estimate n Determine a number that is the approximation of a computation. n Not a guess, involves some form of reasoning. n Sometimes knowing if the result is more or less than a number is sufficient.

34. Multi-Digit Numbers 1.Can be built upon or taken apart in a wide variety of ways. 2.Use easier-to-handle parts of numbers to create estimates. 3.Computation can then be done mentally.

35. Multi-Digit Numbers 1.Substitute “nice” numbers for hard ones 2.Computation can then be done mentally.

36. Computational Estimation 1.Use a variety of strategies developed over time 2.Find Real Examples of Estimation 3.Accept a Range of Estimates 4.Focus on Flexible Methods NOT Answers

37. Understanding Computational Estimation Use the Language of Estimation “About” “Close” “Just about” “A little more than” “A little less than” “Between””

38. Understanding Computational Estimation Estimating Without Estimates Over or Under? 37+75 Over or Under 100 712-458Over or under 300 319/45Over or under 6

39. 1.If chicken is on sale for 1.04 per pound, how much would you pay for a whole chicken that weighs 5.95 pounds? 2. How much rock can Bryce carry with his truck in eight loads if his truck can carry 2 7\8 tons on each load?

40. 1. $1.04 is close to one dollar, so we will round it to $1.00. 5.95 pounds is almost 6 pounds, so we will round it to 6. Now we set up our estimated problem to get an estimated answer. Our estimated answer is $6.00 2. There are 2 ways to do this one. A) Leave the 8 loads as 8, then estimate the tons of rock to 3. B) Round the 8 loads to 10, then round the tons of rock to 3. Now, multiply your estimate. The answer is 24 tons for A or 30 tons for B. Why can these answers be different?

41.  We round numbers by finding the place value column we are Asked to round to, then looking at the number at the right. If the Number is 5 or more, raise the number by one and make all numbers to the right zeros.  We estimate by rounding all the numbers we have in aproblem then solving the new rounded problem.  An estimate is an approximate or close answer we use when we Do not need the exact answer.

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45. Thank you for viewing this presentation. Diana Lenartiene, IRSC ABE Instructor If you still have questions, please contact me at: dlenarti@irsc.edu