1. Grade 5 Module 1 Lesson 8

2. Rename the Units
13 tenths = _____ (Say the decimal) 14 tenths = _____ (Say the decimal) 24 tenths = _____ (Say the decimal) 124 tenths = _____ (Say the decimal) 524 tenths = _____ (Say the decimal)

3. Rename the Units
2.5 (Name the number of tenths.) 17.5 (Name the number of tenths.) 27.5 (Name the number of tenths.) 24.5 (Name the number of tenths.) 24.3 (Name the number of tenths.) 42.3 (Name the number of tenths.)

4. Rename the Units
37 hundredths = _____ (Say the decimal)

5. Rename the Units
37 hundredths = _____ (Say the decimal) 37 hundredths = hundredths = ____ (Say the decimal) 537 hundredths = ____ (Say the decimal) 296 hundredths = ____ ( Say the decimal)

6. Rename the Units
0.548 = ____ thousandths (Say the number sentence)

7. Rename the Units
0.548 = ____ thousandths (Say the number sentence) = 548 thousandths = _____ thousandths (Say the number sentence)

8. Rename the Units
0.548 = ____ thousandths (Say the number sentence) = 548 thousandths = _____ thousandths (Say the number sentence) = 1548 thousandths

9. Rename the Units
2.548 = _____ thousandths (Say the number sentence)

10. Rename the Units
2.548 = _____ thousandths (Say the number sentence) = 2548 thousandths = ____ thousandths (Say the number sentence)

11. Rename the Units
2.548 = _____ thousandths (Say the number sentence) = 2548 thousandths = ____ thousandths (Say the number sentence) = 7352 thousandths

12. Round to Different Place Values
8.735 (Say the number)

13. Round to Different Place Values
8.735 (Say the number) 8 and 735 thousandths Draw a vertical number line on your boards with 2 endpoints and a midpoint

14. Round to Different Place Values
Between what two ones is 8.735?

15. Round to Different Place Values
Between what two ones is 8.735? 9 8

16. Round to Different Place Values
What’s the midpoint for 8 and 9? 9 8

17. Round to Different Place Values
What’s the midpoint for 8 and 9? 9
8.5 8

18. Round to Different Place Values
8.5 is the same as how many tenths? 9
8.5 8

19. Round to Different Place Values
8.5 is the same as how many tenths? 85 tenths 9
8.5 8

20. Round to Different Place Values
How many tenths are in 8.735? 9
8.5 8

21. Round to Different Place Values
How many tenths are in 8.735? 87 tenths 9
8.5 8

22. Round to Different Place Values
8.735≈ ____ (Show on your number line and write the number sentence. 9
8.5 8

23. Round to Different Place Values
8.735≈ 9 (Show on your number line and write the number sentence. 9
8.735
8.5 8

24. Application Problem
Organic, whole-wheat flour sells in bags weighing kilograms. How much flour is this rounded to the nearest tenth? How much flour is this rounded to the nearest one? What is the difference of the two answers? Use a place value chart and number line to explain your thinking.

25. Application Problem
Ones
Tenths
Hundredths
Thousandths 2 9 1 5

26. Concept Development
Problem 1 Round to the nearest ten. Turn and talk to your partner about the different ways could be decomposed using your place value chart.

27. Concept Development
4 tens
9 ones
6 tenths
7 hundredths

28. Concept Development
4 tens
9 ones
6 tenths
7 hundredths
49 ones

29. Concept Development 4 tens 9 ones 6 tenths 7 hundredths 49 ones

30. Concept Development 4 tens 9 ones 6 tenths 7 hundredths 49 ones
Which one of these decompositions did you
decide was the most useful?

31. Concept Development 4 tens 9 ones 6 tenths 7 hundredths 49 ones
Which one of these decompositions did you
decide was the most useful?
The decomposition with more tens is most helpful,
because it helps me identify the two
rounding choices, 4 tens or 5 tens.

32. Round to Different Place Values
Draw and label a number line and circle the rounded value. Explain your reasoning.

33. Round to Different Place Values
Draw and label a number line and circle the rounded value. Explain your reasoning.
5 tens or 50
4 tens or 40

34. Round to Different Place Values
Draw and label a number line and circle the rounded value. Explain your reasoning
5 tens or 50
4 tens or 40

35. Concept Development
Problem 2 Decompose and round to the nearest tenth and hundredth. Show your work on a number line.

36. Concept Development
9 ones
9 tenths
4 hundredths
9 thousandths

37. Concept Development 9 ones 9 tenths 4 hundredths 9 thousandths

38. Concept Development 9 ones 9 tenths 4 hundredths 9 thousandths

39. Concept Development What decomposition of 9.949 best helps to
9 ones
9 tenths
4 hundredths
9 thousandths
99 tenths
994 hundredths
What decomposition of best helps to
round this number to the nearest tenth?

40. Concept Development What decomposition of 9.949 best helps to
9 ones
9 tenths
4 hundredths
9 thousandths
99 tenths
994 hundredths
What decomposition of best helps to
round this number to the nearest tenth?
The one using the most tenths to name the decimal
fraction.

41. Round to Different Place Values
I knew I would round to either 99 tenths or 100 tenths. I looked at the hundredths. Four hundredths is not past the midpoint, so I rounded to 99 tenths or 9.9
100 tenths = 10
9.949
99 tenths = 9.9

42. Concept Development Which digit made no difference when you rounded to
9 ones
9 tenths
4 hundredths
9 thousandths
99 tenths
994 hundredths
Which digit made no difference when you rounded to
the nearest tenth? Explain your thinking.

43. Concept Development Which digit made no difference when you rounded to
9 ones
9 tenths
4 hundredths
9 thousandths
99 tenths
994 hundredths
Which digit made no difference when you rounded to
the nearest tenth? Explain your thinking.
The thousandths, because the hundredths decided
which direction to round. Halfway or more, round to
the next number.

44. Concept Development 9 ones 9 tenths 4 hundredths 9 thousandths
What decomposition of best helps to round
this number to the nearest hundredths?

45. Concept Development 9 ones 9 tenths 4 hundredths 9 thousandths
What decomposition of best helps to round
this number to the nearest hundredths?
The one using the most hundredths to name the
Decimal fraction.