1. Rounding Decimals

2. Use place value understanding to round decimals to any place
Use place value understanding to round decimals to any place. Use place value understanding to round decimals to any place.
5.NBT.4

3. Where do we see Decimals being used?
Look behind the photos to find out!
Decimals are used in swimming times to get the most accurate results. A typical swim time measures minutes, seconds, and fractions of a second.
Example: 1:52.28
Basketball shooting percentages use decimals to show how often players make shots.
Example: 0.421
Scientists use decimals to show more accurate measurements in their data. This helps them to notice small changes in the data.
You use decimals when talking about money. The change is expressed after the decimal point as in $1.62.

4. Decimals on the Number Line
2.1
2.2
2.3
2.4
2.5
2.6
2.7
2.8
2.9 2 3
What does each line represent on this number line between the whole numbers of 2 and 3?
Label the number line.

5. Decimals on the Number Line
4.31
4.33
4.35
4.37
4.39
4.3
4.32
4.34
4.36
4.38
4.4
What does each line represent on this number line between the decimal numbers of 4.3 and 4.4?
Label the number line.

6. Where would you place 4.4 on this number line?
The answer would be C.
The number 4.4 would be approximately in the
middle of 4 and 5 4 5 A B C D 10

7. Rounding 2.728 to the nearest whole number
2.5 2 3
2.5 is in the middle of 2 and 3.
On which side of the hill would be?
Is closer to 2 or to 3?

8. Rounding 2.728 to the nearest whole number3
Is closer to 2 or to 3?

9. Rounding 2.728 to the nearest tenth
2.75
2.7
2.8
2.75 is in the middle of 2.7 and 2.8
On which side of the hill would be?
Is closer to 2.7 or to 2.8?

10. Rounding 2.728 to the nearest tenth
2.8
Is closer to 2.7 or to 2.8?

11. Rounding 2.728 to the nearest hundredth
2.725
2.72
2.73
2.725 is in the middle of 2.72 and 2.73
On which side of the hill would be?
Is closer to 2 or to 3?

12. Rounding 2.728 to the nearest hundredth
2.73
Is closer to 2.72 or to 2.73?

13. Rounding 6.293 to the nearest whole number
6.5 6 7
6.5 is in the middle of 6 and 7
Which side of the hill would be on?
Is closer to 6 or 7?

14. Rounding 6.293 to the nearest whole number7
Is closer to 6 or to 7?

15. Rounding 6.293 to the nearest tenth
6.25
6.2
6.3
6.25 is in the middle of 6.2 and 6.3
Which side of the hill would be on?
Is closer to 6.2 or 6.3?

16. Rounding 6.293 to the nearest tenth
6.3
Is closer to 6.2 or to 6.3?

17. Rounding 6.293 to the nearest hundredth
6.295
6.29
6.3
6.295 is in the middle of 6.29 and 6.3
Which side of the hill would be on?
Is closer to 6.29 or 6.3?

18. Rounding 6.293 to the nearest tenth
6.3
Is closer to 6.2 or to 6.3?

19. Round each number to the nearest hundredth
a b c d e f

20. David swam 2. 549 miles. He rounded his distance to 3 miles
David swam miles. He rounded his distance to 3 miles. His coach rounded his distance to 2.5 miles.
Both are right!
Explain how this could be true. Use number lines and words to explain your reasoning.