1. Rounding Numbers to the Nearest Ten, Hundred, and Thousand

2. Rounding Numbers to the Nearest Ten, Hundred, and Thousand
Instructional Objective:
To Investigate and develop an understanding of the base ten place value system
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3. What is rounding numbers?
You can estimate when you need to know about how many or about how much. Rounding is one way to estimate.
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4. Rounding to the Nearest Ten
You estimate which ten the number you are rounding is closest to. If you saw a road sign that said Flint was 17 miles away, then you could say that Flint is about 20 miles away.
17 rounds to 20
Because 17 is closer to 20 than 10
Flint 17 miles
continue

5. Look at these examples. Try to determine what the rule is for rounding to the nearest ten.
Choose the rule:
If the number in the ones column is 0, 1, 2, 3, or 4 then round up to the greater ten.
If the number in the ones column is 0,1,2,3, or 4, then round down to the lesser ten.
What does 12 round to?
What does 93 round to?
What does 15 round to?
What does 77 round to?
What does 22 round to? A B

6. Yes!! You are correct. When a number has a 0, 1, 2, 3, or 4 in the ones column you round to the lesser ten! For example 83 rounds to 80.
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7. Think of rounding like a car going over a hill
Think of rounding like a car going over a hill. If you are to round 54 to the nearest ten, then your choices are either round back to 50 or up to 60. You always need to look at the number in the ones column. If the car goes up to 54 and stops, then it will roll back to 50.
54 rounds to 50
Click here to continue 55 54 53 56 57 52 58 51 59 50 60

8. Here is another example
Here is another example. If you are to round 87 to the nearest ten, then your choices are either round back to 80 or up to 90. If the car goes to 87 and stops, then it will roll to 90.
87 rounds to 90
Click here to continue 85 84 83 86 87 82 88 81 89 80 90

9. Now it’s your turn to round to the nearest ten!35 30 40 A B C

10. Sorry. Remember the rules:
If the number you are rounding is followed by a 0, 1, 2, 3, or 4, then round down .
If the number you are rounding is followed by a 5, 6, 7, 8, or9, then round up.
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11. Yes!! You are correct.
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12. Now it’s your turn to round to the nearest ten!70
100 60 A B C

13. Sorry. Remember the rules:
If the number you are rounding is followed by a 0, 1, 2, 3, or 4, then round down .
If the number you are rounding is followed by a 5, 6, 7, 8, or9, then round up.
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14. Yes!! You are correct.
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15. Now it’s your turn to round to the nearest ten!20 50 30 A B C

16. Sorry. Remember the rules:
If the number you are rounding is followed by a 0, 1, 2, 3, or 4, then round down .
If the number you are rounding is followed by a 5, 6, 7, 8, or9, then round up.
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17. Yes!! You are correct.
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18. Next you will learn about rounding to the nearest hundred.
When rounding to the nearest hundred, you are finding out which hundred a number is closest to.
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19. Rounding to the Nearest Hundred
Swartz Creek
230 miles
You estimate which hundred the number you are rounding is closest to. If you saw a road sign that said Swartz Creek was 230 miles away, then you could say that Swartz Creek is about 200 miles away.
230 is closer to 200
230 rounds to 200
continue

20. Look at these examples. Try to determine what the rule is for rounding to the nearest hundred.
Choose the rule:
If the number in the tens column is 0, 1, 2, 3, or 4 then round up to the greater hundred.
If the number in the tens column is 0,1,2,3, or 4, then round down to the lesser hundred.
241 rounds to 200
532 rounds to 500 A B

21. Sorry.
Look at the numbers in the tens column. Do they cause the number to be rounded to the lesser hundred or the greater hundred?
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22. Yes!! You are correct. When a number has a 0, 1, 2, 3, or 4 in the tens column you round to the lesser hundred! For example 429 rounds to 400.
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23. Look at these examples. Try to determine what the rule is for rounding to the nearest hundred.
Choose the rule:
If the number in the tens column is 5, 6, 7, 8, or 9 then round up to the greater hundred.
If the number in the tens column is 5, 6, 7, 8, or 9 then round down to the lesser hundred.
381 rounds to 400
262 rounds to 300
958 rounds to 1000 A B

24. Sorry.
Look at the numbers in the tens column. Do they cause the number to be rounded to the lesser hundred or the greater hundred?
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25. Yes!! You are correct. When a number has a 5, 6, 7, 8, or 9 in the tens column you round to the greater hundred!
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26. Remember the example of the car going over the hill
Remember the example of the car going over the hill. When rounding to the nearest hundred, any number that ends in 49 or less will cause the car to roll back to the lesser hundred and any number that ends in 50 or greater, will cause the car to roll up to the greater hundred. If you round 720 to the nearest ten, then your choices are either round back to 700 or up to If the car goes up to 720 and stops, then it will roll back to 700.
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720 rounds to 700
750
740
730
760
770
720
780
710
790
700
800

27. Here is another example
Here is another example. If you round 360 to the nearest hundred, then your choices are either round back to 300 or up to 400. If the car goes to 360 and stops, then it will roll to 400.
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360 rounds to 400
350
340
330
360
370
320
380
310
390
300
400

28. Now it’s your turn to round to the nearest hundred!
200
300
400 A B C

29. Sorry. Remember the rules:
If the number you are rounding is followed by a 0, 1, 2, 3, or 4, then round down .
If the number you are rounding is followed by a 5, 6, 7, 8, or 9, then round up.
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30. Yes!! You are correct.
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31. Round to the nearest hundred.
500
550
600 A B C

32. Sorry. Remember the rules:
If the number you are rounding is followed by a 0, 1, 2, 3, or 4, then round down .
If the number you are rounding is followed by a 5, 6, 7, 8, or9, then round up.
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33. Yes!! You are correct.
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34. Round to the nearest hundred.
600
700
800 A B C

35. Sorry. Remember the rules:
If the number you are rounding is followed by a 0, 1, 2, 3, or 4, then round down .
If the number you are rounding is followed by a 5, 6, 7, 8, or9, then round up.
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36. Yes!! You are correct.
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37. Last you will learn to round to the nearest thousand!
When you round to the nearest thousand you are estimating which thousand the number is closest to.
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38. Rounding to the Nearest Thousand
Posen 2600 miles
You estimate which thousand the number you are rounding is closest to. If you saw a road sign that said Posen was 2600 miles away, then you could say that Posen is about 3000 miles away.
2600 rounds to 3000
2600 is closer to 3000 than 2000
continue

39. Look at these examples. Try to determine what the rule is for rounding to the nearest thousand.
2456 rounds to 2000
5302 rounds to 5000
3289 rounds to 3000
7367 rounds to 7000
8422 rounds to 8000
7056 rounds to 7000
1245 rounds to 1000
9135 rounds to 9000
Choose the rule:
If the number in the hundreds column is 0, 1, 2, 3, or 4 then round up to the greater thousand.
If the number in the hundreds column is 0,1,2,3, or 4, then round down to the lesser thousand. A B

40. Sorry.
Look at the numbers in the hundreds column. Do they cause the number to be rounded to the lesser thousand or the greater thousand?
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41. Yes!! You are correct. When a number has a 0, 1, 2, 3, or 4 in the hundreds column you round to the lesser thousand! For example 8368 rounds to 8000.
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42. Look at these examples. Try to determine what the rule is for rounding to the nearest thousand.
4589 rounds to 5000
6900 rounds to 7000
8954 rounds to 9000
Choose the rule:
If the number in the hundreds column is 5, 6, 7, 8, or 9 then round up to the greater thousand.
If the number in the hundreds column is 5, 6, 7, 8, or 9 then round down to the lesser thousand. A B

43. Sorry.
Look at the numbers in the hundreds column. Do they cause the number to be rounded to the lesser thousand or the greater thousand?
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44. Yes!! You are correct. When a number has a 5, 6, 7, 8, or 9 in the hundreds column you round to the greater thousand!
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45. Let’s look at the hill again
Let’s look at the hill again. If you are to round 6300 to the nearest thousand, then your choices are either round back to 6000 or up to If the car goes up to 6300 and stops, then it will roll back to 6000.
6300 rounds to 6000
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6500
6400
6300
6600
6700
6200
6800
6100
6900
6000
7000

46. Here is another example
Here is another example. If you are to round 2900 to the nearest thousand, then your choices are either round back to 2000 or up to If the car goes to 2900 and stops, then it will roll to 3000.
2900 rounds to 3000
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2500
2400
2300
2600
2700
2200
2800
2100
2900
2000
3000

47. Now it’s your turn to round to the nearest thousand!
5800
6000
5000 A B C

48. Sorry. Remember the rules:
If the number you are rounding is followed by a 0, 1, 2, 3, or 4, then round down .
If the number you are rounding is followed by a 5, 6, 7, 8, or9, then round up.
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49. Yes!! You are correct.
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50. Now it’s your turn to round to the nearest thousand!
2000
2050
2100 A B C

51. Sorry. Remember the rules:
If the number you are rounding is followed by a 0, 1, 2, 3, or 4, then round down .
If the number you are rounding is followed by a 5, 6, 7, 8, or9, then round up.
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52. Yes!! You are correct.
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53. Now it’s your turn to round to the nearest thousand!
8430
8400
9000 A B C

54. Sorry. Remember the rules:
If the number you are rounding is followed by a 0, 1, 2, 3, or 4, then round down .
If the number you are rounding is followed by a 5, 6, 7, 8, or 9, then round up.
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55. Yes!! You are correct.
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