Decimals: A Comprehensive Guide for Students

Dive into the world of decimals with a presentation designed to enhance your understanding. Explore the concept of decimals, relate them to real-life scenarios like money, and learn how to read, write, and compare decimal values. Get ready to master decimal skills and engage in fun learning activities that will solidify your knowledge. Join Mrs. Russo and Mrs. Morse on an educational journey that will boost your number sense!

• Decimals
• Education
• Learning
• Math
• Student

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Uploaded on Sep 27, 2024 | 0 Views

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1. Decimals Numbers and Number Sense By Kathy Russo and Roberta Morse Martin Luther King Jr. Elementary School Bouquet Bouquet The buttons on each page will take you forward or backward when you left-click your mouse on them.

2. Bouquet Dear Student, In this presentation, you will learn about decimals! You will have the chance to review decimal concepts. You will also be able to practice your decimal skills. We hope you have fun! Mrs. Russo and Mrs. Morse Click to see the Standards Of Learning objectives you will cover. Click to begin learning about decimals. here here here here

3. SOL Objective 5.1 The student will read, write and identify the place values of decimals through ten-thousandths. Bouquet Next objective Next objective Bouquet

4. SOL Objective 5.2 The student will compare the value of two decimals through ten-thousandths using the symbols >, <, or =. Bouquet Begin working with decimals Begin working with decimals Bouquet

5. What is a decimal? A decimal is a part of a whole. Bouquet Bouquet

6. Think about money. One dollar, 4 dimes, and 3 pennies is written in decimal form. $1.43 Bouquet Bouquet

7. It takes 10 dimes to make 1 dollar, so a dime is one-tenth of a dollar. One dollar is equal to 10 dimes. Bouquet Bouquet

8. It takes 100 pennies to make a dollar, so each penny is equal to one-hundredth of a dollar. One dime is equal to 10 pennies. Bouquet Bouquet

9. It takes 10 dimes to make 1 dollar, so a dime is one-tenth of a dollar. $0.10 = one dime It takes 100 pennies to make 1 dollar, so a penny is one-hundredth of a dollar. $0.01 = one penny Bouquet Bouquet

10. Practice writing these amounts of money as decimals on a sheet of paper. 71 cents Bouquet Click here to check your answers. 6 cents Click here to check your answers. 119 cents 215 cents Bouquet

11. Money is one way we use decimals every day, but decimals are used for more than just money. Bouquet Bouquet

12. Bouquet Bouquet Decimals are special fractions with certain multiples of ten in the denominator. 1 1 = 0.01 = 0.1 100 10 one tenth one hundredth 1 1 = 0.0001 = 0.001 , 1 000 10 000 one ten-thousandth , one thousandth

13. Decimals can also be shown on the place value chart. Bouquet Bouquet

14. Bouquet Bouquet ten-thousandths thousandths hundredths thousands Everything to the left of the decimal point is a WHOLE number. hundreds tenths Everything to the right of the decimal point is PART of a whole. ones tens

15. ten-thousandths thousandths hundredths thousands hundreds tenths ones 4 tens 1 This shows 14 (fourteen) spiders. Bouquet Bouquet

16. ten-thousandths thousandths hundredths thousands hundreds 1 tenths ones 5 tens 1 This shows 115 (one hundred fifteen) candy-corns. Bouquet Bouquet Really! Count them.

17. Remember the dime? It was less than one whole. It was only a part of 1 whole dollar. 1 dime = $0.10, so we will write it in the tenths and hundredths place value positions. ten-thousandths thousandths hundredths thousands hundreds tenths ones 0 tens 1 0 Bouquet Bouquet

18. $0.10 = 0.1 ten hundredths = one tenth ten-thousandths thousandths hundredths thousands hundreds tenths ones 0 0 tens 1 1 0 There are no whole dollars, only part of a whole. Bouquet Bouquet

19. A penny is also only a part of 1 whole dollar. 1 penny = $0.01 since it is one hundredth of a dollar we will write it in the hundredths place value position. ten-thousandths thousandths hundredths thousands hundreds tenths ones 0 tens 0 1 Bouquet Bouquet

20. A quarter is also less than 1 whole dollar. 1 quarter = $0.25, so we will write it in the tenths and hundredths place value positions. ten-thousandths thousandths hundredths thousands hundreds tenths ones 0 tens 2 5 Bouquet Bouquet

21. one hundred thirty -four and seven ten-thousandths ten-thousandths thousandths hundredths hundreds 1 tenths 0 0 0 7 ones 4 tens 3 Bouquet Bouquet

22. Bouquet Bouquet Remember, decimals are special fractions with certain multiples of ten in the denominator. 1 = 0.1 1 = 0.01 100 10 one tenth one hundredth 1 1 = 0.0001 = 0.001 , 1 000 10 000 one ten-thousandth , one thousandth

23. Decimals show parts of wholes in divisions of ten. tenths one whole Bouquet Bouquet

24. hundredths thousandths Decimals can show parts of wholes in divisions of hundreds or thousands. Bouquet Bouquet

25. tenths one hundredths thousandths Bouquet Bouquet

26. Now practice writing and saying some decimals. (Write your answers on paper. Then check your work by clicking below.) What portion of the square is green? What portion of the square is yellow? Click here for the answer. Bouquet

27. 0.4 (or four tenths) of the square is green. 0.6 (six tenths) of the square is yellow. (Does this match what you wrote on your paper?) 0.4 0.6 Click here to hear the answer. Click here and try another one! Bouquet

28. How many hundredths are red? Click here to find out. How many hundredths are yellow? Bouquet

29. 32 hundredths are red, 0.32 68 hundredths are yellow, 0.68 Click to hear the answer. Click here and try another one! Bouquet

30. Bouquet How many thousandths are purple? How many are blue? Don t forget to write your answers down! Check your answer here.

31. Bouquet 872thousandths are purple. This number is written 0.872 128 thousandths are blue. This number is written 0.128 Did you check your work? Click this button to hear the numbers. More Click this button to hear the numbers.

32. Bouquet How many thousandths are green? How many thousandths are blue? Check your answers here.

33. Bouquet 44 thousandths 0.044 are green. 956 thousandths 0.956 are blue. Click this button to hear the numbers. More Click this button to hear the numbers.

34. Bouquet Bouquet Compare these decimals. 0.4 < 0.6 four tenths is LESS THAN six tenths

35. Bouquet Bouquet Compare these decimals. 0.4=0.40 four tenths IS EQUAL TO forty hundredths

36. Bouquet Bouquet eight tenths is greater than eight hundredths eight hundredths is greater than eight thousandths > > 0.8 0.08 0.008

37. Compare these decimals using <, >, or =. A. 0.6 and 0.7 Trellis Check your answers. Check your answers. B. 0.39 and 0.3 Bouquet

38. A. 0.6 < 0.7 B. 0.39 > 0.3 0.39 0.6 Click to hear the answers. 20% 0.7 0.3 Bouquet Bouquet

39. Compare these decimals using <, >, or =. C. 0.54 and 0.56 Trellis Check your answers. Check your answers. D. 0.20 and 0.2 Bouquet

40. C. 0.54 < 0.56 0.54 D. 0.20 = 0.2 0.20 20% Click to hear the answers. 0.56 0.2 Bouquet Bouquet

41. Click below to play a very cool decimal game! When you are finished, close the Excel window by clicking on the x in the top right hand corner. Bouquet Bouquet

42. Click below to play again, this time with hundredths and thousandths. When you are finished, close the Excel window by clicking on the x in the top right hand corner. Bouquet Bouquet

43. Mor e I deas! For more fun with decimals check out these: Games: Virtual Counting StickTurtle Races Web Sites: See Burly Middle School s Numeracy Activities. It is full of wonderful math games! http://www.numeracyresources.co.uk/ Books: Patriarca, Linda A., Scheffel, Marilyn, and Hedeman, Sheila. Decimals:A Place Value Approach. Dale Seymour Publications Burns, Marilyn. About Teaching Mathematics A K-8 Resource. Math Solutions Publications Math Internet Projects Bouquet Bouquet

44. Decimals Numbers and Number Sense Written by Kathy Russo and Roberta Morse Martin Luther King Jr. Elementary School SOL Objective 5.1 The student will read, write and identify the place values of decimals through ten-thousandths. SOL Objective 5.2 The student will compare the value of two decimals through ten-thousandths using the symbols >, <, or =. Credits: Thank you to Mark Cogan at Burley Middle School for permission to link to his website. This presentation was created using Microsoft PowerPoint 97. Graphics from Jasc Paint Shop Pro version 6.02. Decimal Squares were created using Microsoft Excel 97. Bouquet Bouquet

45. Practice writing these amounts of money as decimals on a sheet of paper. 71 cents $0.71 6 cents $0.06 $1.19 119 cents $2.15 215 cents Bouquet Bouquet