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Using Models to Add Decimals

Using Models to Add Decimals. 5 .NBT.B.7. Using Models to Add Decimals. What decimal does this represent?. 34. =. 0.34. 100. What decimal does this represent? Let’s find out how many of the 100 squares are red. 10. 20. 30. 31. 32. 33. 34.

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Using Models to Add Decimals

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  1. Using Models to Add Decimals 5.NBT.B.7

  2. Using Models to Add Decimals What decimal does this represent? 34 = 0.34 100 What decimal does this represent? Let’s find out how many of the 100 squares are red. 10 20 30 31 32 33 34 This model represents the fraction 34 hundredths … … and the decimal 34 hundredths.

  3. Using Models to Add Decimals What decimal does this represent? 22 = 0.22 100 What decimal does this represent? Let’s find out how many of the 100 squares are red. 10 20 21 22 This model represents the fraction 22 hundredths … … and the decimal 22 hundredths.

  4. Using Models to Add Decimals What decimal does this represent? 6 = 0.06 100 What decimal does this represent? Let’s find out how many of the 100 squares are red. 1 2 3 4 5 6 This model represents the fraction 6 hundredths … … and the decimal 6 hundredths.

  5. Using Models to Add Decimals What decimal does this represent? 56 = 0.56 100 What decimal does this represent? Let’s find out how many of the 100 squares are red. 10 20 30 40 52 55 54 51 56 This model represents the fraction 56 hundredths … … and the decimal 56 hundredths. 53 50

  6. Using Models to Add Decimals What decimal does this represent? 23 14 + = 100 100 Here is 23 hundredths. How much more is this? What is the sum of these numbers? 14 hundredths

  7. Using Models to Add Decimals What decimal does this represent? 37 14 23 + = = 0.37 100 100 100 10 20 30 31 32 33 … and the decimal 37 hundredths. Let’s break the numbers apart to find out. 36 37 This represents the fraction 37 hundredths … Let’s join the ones together … … and join the tens together. Now we can count. 34 35

  8. Using Models to Add Decimals What decimal does this represent? 71 27 44 + = = 0.71 100 100 100 61 40 30 20 10 … and the decimal 71 hundredths. 27 hundredths What part of the large square is this? 44 hundredths What is the sum of these two numbers? 62 68 64 65 66 67 60 69 70 71 This represents the fraction 71 hundredths … 50 63 How much of the large square is shaded?

  9. Using Models to Add Decimals What decimal does this represent? 47 15 32 + = = 0.47 100 100 100 30 32 hundredths How much more is this? 15 hundredths What is the sum? 10 20 40 47 42 43 44 46 45 This represents the fraction 47 hundredths … … and the decimal 47 hundredths. 41 What part of the large square is this?

  10. Using Models to Add Decimals What decimal does this represent? 73 36 37 + = = 0.73 100 100 100 68 71 72 73 hundredths This represents the fraction 73 hundredths … … and the decimal 73 hundredths. 67 36 hundredths 47 hundredths … What part of the large square is this? 37 hundredths How much more is this? 69 What is the sum? 70 57 hundredths … Here are 37 hundredths …

  11. Using Models to Add Decimals What decimal does this represent? 77 64 13 + = = 0.77 100 100 100 What is the sum? … and the decimal 77 hundredths. This represents the fraction 77 hundredths … 77 hundredths 76 75 74 hundredths … What part of the large square is this? 13 hundredths How much more is this? 64 hundredths Here are 64 hundredths …

  12. Using Models to Add Decimals What decimal does this represent? 45 42 3 + = = 0.45 100 100 100 What is the sum? … and the decimal 45 hundredths. Here are 42 hundredths … 43 hundredths … 44 hundredths … 45 hundredths What part of the large square is this? 3 hundredths How much more is this? 42 hundredths This represents the fraction 45 hundredths …

  13. Using Models to Add Decimals What decimal does this represent? 12 13 24 49 + + = = 0.49 100 100 100 100 44 45 46 41 40 30 20 42 What part of the large square is this? 43 47 24 hundredths … and the decimal 49 hundredths. This represents the fraction 49 hundredths … 49 48 12 hundredths 13 hundredths How much more is this? What is the sum? How much more is this? 10

  14. Using Models to Add Decimals Closing Question

  15. Using Models to Add Decimals What decimal does this represent? 25 16 9 + + = 100 100 100 How much more is this? What part of the large square is this? 9 hundredths How much more is this? 16 hundredths What is the sum? 25 hundredths

  16. Using Models to Add Decimals What decimal does this represent? 50 16 25 9 + + = = 0.50 100 100 100 100 10 … and the decimal 50 hundredths. This represents the fraction 50 hundredths … 50 40 20 30 Let’s decompose these shapes to find out.

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