Wake County Public School System, 2012

Wake County Public School System, 2012 [Type text] [Type text] [Type text]

Decimal Place Value Discussion Questions

Question Set A: 1. How many rods did you use to cover the flat? 10 2. If a flat represents 1 whole, then what fraction does one rod represent? 1/10 3. What fraction of the flat is 7 rods? 7/10 4. What fraction of the flat is 4 rods? 4/10

Question Set B: 5. What decimal number is represented by 10 rods? 1.0 6. What decimal number is represented by 1 flat and 5 rods? 1.5 7. How many tenths are in two wholes? 20 8. How would you write 20 tenths using decimal notation? 2.0 9. How many small squares are in a flat? 100 10. Which base ten piece would you use to show one hundredth? unit 11. Why? 100 units are in a flat, so one unit represents 1/100 of a flat 12. How many hundredths does a rod represent? 10 13. How would you write 10 hundredths using decimal notation? 0.10 14. Do 0.10 and 0.1 represent the same number? yes 15. Explain why 0.10 and 0.1 represent the same number using the base ten blocks. 0.10 represents 10 units and 0.1 represents 1 rod. Since 1 rod is equal to 10 units, 0.10 and 0.1 represent the same number.

Question Set C: 16. How many small squares are on this grid? 100 17. What fraction of the grid does each small square represent? 1/100 18. What is the decimal representation for each small square? 0.01 19. What is the decimal representation for each row or each column? 0.10 or 0.1 20. If I shade 2 columns and 4 small squares, what decimal have I represented? 0.24 (Shade as you ask the question to aid student understanding.)

Wake County Public School System, 2012 Question Set D: 21. How many tiny rectangles are on this grid? 1,000 (You may wish to break each piece down to aid understanding… in each small square there are 10 tiny rectangles, and in each row of small squares, there are 100 tiny rectangles, so in 10 rows, there are 1,000 tiny rectangles) 22. What fraction of the grid does each tiny rectangle represent? 1/1000 23. How do you think we might represent this number using decimal notation? 0.001 24. What do you think this place value is called? a thousandth Why? It represents a tenth of one hundredth or 1/1000 of a whole. 25. If I shade 2 rows, 8 small squares, and 9 tiny rectangles, what decimal have I represented? 0.289 (Shade as you ask the question to aid student understanding.)

Wake County Public School System, 2012 Transparency/Blackline Master Grade 5 Day 15 Standard 5.NBT.3

Base Ten Grids

Grid A

Grid B Transparency/Blackline Master Grade 5 Day 15 Standard 5.NBT.3 Blackline Master Grade 5 Day 15 Standard 5.NBT.3 Name: ______Date: ______Blank Base Ten Grids A Blackline Master Grade 5 Day 15 Standard 5.NBT.3

Name: ______Date: ______Blank Base Ten Grids B Blackline Master Grade 5 Day 15 Standard 5.NBT.3 Name: ______Date:

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Decimal Place Value Practice

1. What number is represented by 3 flats, 7 rods, and 9 units? Write your answer in decimal notation.

2. What number is represented by 8 units, 1 flat, and 6 rods? Write your answer in decimal notation.

3. Shade 2.793 on the grids below.

4. Explain why 0.3, 0.30, and 0.300 are equivalent. Include base ten blocks or grids in your description.

5. Explain the relationship between thousandths and hundredths. Blackline Master Grade 5 Day 15 Standard 5.NBT.3 Answer Key Grade 5 Day 15 Standard 5.NBT.3 Decimal Place Value Practice Answer Key

1. What number is represented by 3 flats, 7 rods, and 9 units? Write your answer in decimal notation.

2. What number is represented by 8 units, 1 flat, and 6 rods? Write your answer in decimal notation.

3. Shade 2.793 on the grids below.

Students should have shaded 2 whole squares, 7 columns, 9 small squares, and 3 tiny rectangles.

4. Explain why 0.3, 0.30, and 0.300 are equivalent. Include base ten blocks or grids in your description.

0.3 is equal to 3 tenths of the flat or 3 rods. Each of the rods can be broken into 10 units making 30 hundredths of the flat. The units are represented by the small squares on the base ten grid, and each of the small squares can be divided into 10 tiny rectangles, making 300 thousandths of the whole.

5. Explain the relationship between thousandths and hundredths.

There are 10 thousandths in one hundredth, so a thousandth is one tenth of a hundredth, making it one thousandth of the whole.