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1. New Jersey Center for Teaching and Learning Progressive Mathematics Initiative This material is made freely available at www.njctl.org and is intended for the non-commercial use of students and teachers. These materials may not be used for any commercial purpose without the written permission of the owners. NJCTL maintains its website for the convenience of teachers who wish to make their work available to other teachers, participate in a virtual professional learning community, and/or provide access to course materials to parents, students and others. Click to go to website: www.njctl.org

2. 5th Grade Decimal Concepts 2012-09-04 www.njctl.org

3. Setting the PowerPoint View • Use Normal View for the Interactive Elements • To use the interactive elements in this presentation, do not select the Slide Show view. Instead, select Normal view and follow these steps to set the view as large as possible: • On the View menu, select Normal. • Close the Slides tab on the left. • In the upper right corner next to the Help button, click the ^ to minimize the ribbon at the top of the screen.  • On the View menu, confirm that Ruler is deselected. • On the View tab, click Fit to Window. • On the View tab, click Slide Master | Page Setup. Select On-screen Show (4:3) under Slide sized for and click Close Master View. • On the Slide Show menu, confirm that Resolution is set to 1024x768. • Use Slide Show View to Administer Assessment Items • To administer the numbered assessment items in this presentation, use the Slide Show view. (See Slide 11 for an example.)

4. Table of Contents Click on a topic to go to that section. Define and Review Vocabulary Identify Place Values Read and Write Decimals Compare and Order Decimals Round Numbers to Designated Place Values

5. Define and Review Vocabulary Return to Table of Contents

6. What is a decimal number? Click to find out! A Decimal Number (based on the number 10) contains a Decimal Point.

7. Yellow Rod How many yellow rods are needed to fill the blue block? 10 click click click Click What is the value of a yellow rod? one-tenth (0.1) Blue Block Red Block One Unit (1) How many red blocks are needed to fill the blue block? 100 (Hint: Fill a yellow rod with red blocks) What is the value of a red block? one-hundredth (0.01)

8. 3 yellow blocks = 0.3 three tenths Blue = One Unit

9. 23 red blocks = 0.23 twenty three hundredths Blue = One Unit

10. Interactive Number Grid - Use to Show Decimals Click to Go to Interactive Site

11. If the square equals one whole, what does the shaded area represent? 1

12. If the square equals one whole, what does the shaded area represent? 2

13. 3 If the square equals one whole, what does the shaded area represent?

14. 4 If the square equals one whole, what does the shaded area represent?

15. If the square equals one whole, what does the shaded area represent? 5

16. Identify Place Values Return to Table of Contents

17. Place Value As you look at the place value chart, how many times does the value of the number increase as you go to the left? Each place has a value that is 10 times the value of its place to the right. click for answer

18. Place Value As you look at the place value chart, how many times does the value of the number increase as you go to the right? Each place has a value that is ten times smaller than the value of its place to its left. click for answer

19. Place Value Chart

20. What digit is in the hundreds place? 987,654.0123 6 6 A 2 B 1 C D 7

21. What digit is in the thousandths place? 987,654.0123 7 A 7 2 B 3 C D 8

22. 8 What digit is in the tenths place? 987,654.0123 A 1 4 B 0 C D 5

23. 9 What digit is in the ten thousands place? 987,654.0123 A 3 7 B 4 C D 8

24. What digit is in the hundredths place? 987,654.0123 10 5 A 0 B 1 C D 2

25. Decimals on the number line 3 2 What does each line represent on this number line between the whole numbers of 2 and 3? Label the number line.

26. Decimals on the number line 33 32 What does each line represent on this number line between the whole numbers of 32 and 33? Label the number line.

27. Decimals on the number line 4.3 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.

28. Decimals on the number line 0.64 0.63 What does each line represent on this number line between the decimal numbers of 0.63 and 0.64? Label the number line.

29. Decimal Number Lines Tool Click for instructions and to use the tool.

30. National Library of Virtual Manipulatives Click to go to web site. Change Places to "Decimals" at the bottom left. Zoom in to drag the dot more precisely.

31. 11 Where would the number 4.4 go on this number line? 0 10 A D B C

32. Where would the number 6.8 go on this number line? 12 B D A C 0 10

33. Where would the number 0.8 go on this number line? 13 D C 1 B A 0

34. 14 Where would the number 7.2 go on this number line? 8 A C 7 D B

35. 15 Where would the number 19.3 go on this number line? C D 20 B A 19

36. 16 Where would the number 324.5 go on this number line? 325 324 D C B A

37. 17 Where would the number 5.35 go on this number line? C 5.4 D B A 5.3

38. 18 Where would the number 1.08 go on this number line? 1.1 B C 1 A D Not on this number line

39. Where would the number 6.23 go on this number line? 19 C 6.3 B A 6.2 D Not on this number line

40. 20 Where would the number 17.04 go on this number line? 17.1 A B C 17.2 D Not on this number line

41. Read and Write Decimals Return to Table of Contents

42. hundred thousand ten thousand ten thousandth thousandth thousand hundredth hundred tenth million and one ten This number is read: Nine million, eight hundred seventy-five thousand, six hundred ten AND four hundred seventy-nine thousandths Remember the place values after the decimal point start with tenths

43. Can you read the number? × thousandths thousands hundredths hundreds tenths ones tens and

44. Read the following numbers. 645.16 2,104.03 0.004 403.5 83,042.004 6.16 0.052 2,104.371 6.371 0.03

45. How do you write a decimal in words? 1. Look to see if there is a number to the left of the decimal; if so write it out. If there is no number to the left of the decimal, skip to step 3. 2. Write an and for the decimal point. 3. Write the number in the decimal part. 4. Write the word for the place value of the rightmost digit. Write 13.24 in words Thirteen and twenty-four hundredths click

46. How does a comma help when writing a decimal number? The place value before the comma is always stated. For example: 1,547 is written One THOUSAND, five hundred forty-seven 6,547,100 is written 6 MILLION, five hundred forty-seven THOUSAND,  one hundred ×

47. Write the decimal in words 1) 5.04 Five and four hundredths 146.457 One hundred forty-six and four hundred fifty-seven thousandths 3) .0009 Nine ten-thousandths 4) 6,345.149 Six thousand, three hundred forty-five and one hundred forty-nine thousandths

48. Match each number and written form. four thousand and fifty three 405.3 forty and fifty three hundredths 4.53 four thousand fifty three 40.53 four hundred five and three tenths none four and fifty three thousandths 4.053 4,053 forty and fifty three hundredths

49. 21 What is 4.36 in written form? four and thirty six A four and thirty six tenths B four, thirty six C D four and thirty six hundreths

50. 22 What is 63.067 in written form? sixty three and sixty seven hundredths A sixty three and sixty seven thousandths B sixty three and sixty seven C D sixty three, sixty seven thousandths