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### Decimals

• 1. Decimals Numbers and Number Sense 123,456,789.1234 The buttons on each page will take you forward or backward when you left-click your mouse on them.
• 2. Dear Students, 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. Have fun! • Click here to see the Standards Of Learning objectives you will cover. • Click here to begin learning about decimals.
• 3. CCSS.Math.Content.5.NBT.A.3 Read, write, and compare decimals to thousandths. Next  objective
• 4. CCSS.Math.Content.5.NBT.A.3.b Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons. Begin working with decimals 
• 5. WWhhaatt iiss aa ddeecciimmaall?? A decimal is a part of a whole.
• 6. Think about money. One dollar, 4 dimes, and 3 pennies is written in decimal form. \$1.43
• 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.
• 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.
• 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
• 10. Practice writing these amounts of money as decimals on a sheet of paper. 71 cents 6 cents Click here to check your 119 cents answers. 215 cents
• 11. Money is one way we use decimals every day, but decimals are used for more than just money.
• 12. Decimals are special fractions with certain multiples of ten in the denominator. 1 10 1 1,000 1 = 0.1 = 0.01 100 1 = 0.001 = 0.0001 10,000 one tenth one thousandth one hundredth one ten-thousandth
• 13. Decimals can also be shown on the place value chart.
• 14. thousands hundreds tens ones tenths hundredths thousandths ten-thousandths Everything to the left of the decimal point is a WHOLE number. Everything to the right of the decimal point is PART of a whole.
• 15. thousands hundreds tens ones tenths hundredths thousandths ten-thousandths 1 4 This shows 14 (fourteen) spiders.
• 16. thousands hundreds tens ones tenths hundredths thousandths ten-thousandths 1 1 5 This shows 115 (one hundred fifteen) candy-corns. 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. thousands hundreds tens ones tenths hundredths thousandths ten-thousandths 0 1 0
• 18. \$0.10 = 0.1 ten hundredths = one tenth thousands hundreds tens ones tenths hundredths thousandths ten-thousandths 0 1 0 0 1 There are no whole dollars, only part of a whole.
• 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. thousands hundreds tens ones tenths hundredths thousandths ten-thousandths 0 0 1
• 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. thousands hundreds tens ones tenths hundredths thousandths ten-thousandths 0 2 5
• 21. one hundred thirty hundreds tens ones tenths hundredths thousandths ten-thousandths 3 -four 4 and seven ten-thousandths 1 0 0 0 7
• 22. Remember, decimals are special fractions with certain multiples of ten in the denominator. 1 10 1 1,000 1 = 0.1 = 0.01 100 1 = 0.001 = 0.0001 10,000 one tenth one thousandth one hundredth one ten-thousandth
• 23. Decimals show parts of wholes in divisions of ten.
• 24. Decimals can show parts of wholes in divisions of hundreds or thousands.
• 25.
• 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.
• 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?) Click here and try another one! 0.4 0.6
• 28. How many hundredths are red? How many hundredths are yellow? Click here to find out.
• 29. 32 hundredths are red, 0.32 68 hundredths are yellow, 0.68 Click here and try another one!
• 30. How many thousandths are purple? How many are blue? Don’t forget to write your answers down! Check your answer here.
• 31. 872 thousandths are purple. This number is written 0.872 128 thousandths are blue. This number is written 0.128 Did you check your work? More
• 32. How many thousandths are green? How many thousandths are blue? Check your answers here.
• 33. 44 thousandths 0.044 are green. 956 thousandths 0.956 are blue. More
• 34. Compare these decimals. 0.4 < 0.6 four tenths is LESS THAN six tenths
• 35. Compare these decimals. 0.4 = 0.40 four tenths IS EQUAL TO forty hundredths
• 36. eight tenths is greater than eight hundredths eight hundredths is greater than eight thousandths 0.008 0.8 > 0.08 >
• 37. Compare these decimals using <, >, or =. A. 0.6 and 0.7 B. 0.39 and 0.3 Check your answers.
• 38. A. 0.6 < 0.7 B. 0.39 > 0.3 0.6 0.7 0.39 0.3
• 39. Compare these decimals using <, >, or =. C. 0.54 and 0.56 D. 0.20 and 0.2 Check your answers.
• 40. C. 0.54 < 0.56 D. 0.20 = 0.2 0.54 0.56 0.20 0.2
• 41. For more fun with decimals check out these: More Practice: Web Sites: math games! http://www.math-play.com/decimal-math-games.html http://www.sheppardsoftware.com/mathgames/decimals.htm IXL http://www.ixl.com/math/grade-5/compare-decimal-numbers

### Editor's Notes

1. Say: Decimals, Numbers and number sense
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