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Algebra: Patterns in Decimal Factors and Products

Schimmel. Algebra: Patterns in Decimal Factors and Products. MCC5.NBT.2 – Explain patterns in the number of zeros of the product when multiplying a number by powers of ten, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. .

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Algebra: Patterns in Decimal Factors and Products

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  1. Schimmel Algebra: Patterns in Decimal Factors and Products

  2. MCC5.NBT.2 – Explain patterns in the number of zeros of the product when multiplying a number by powers of ten, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10.

  3. Essential Question: How are the products affected when multiplying decimals by powers of 10?

  4. Guided Practice

  5. 1 x 0.3 = 0.3 10 x 0.3 = 3 100 x 0.3 = _____ 1,000 x 0.3 = _____

  6. 1 x 2.845 = 2.845 10 x 2.845 = 28.45 100 x 2.845 = _______ 1,000 x 2.845 = 2,845

  7. 1 x 0.3459 = 0.3459 10 x 0.3459 = _______ 100 x 0.3459 = 34.59 1,000 x 0.3459 = 345.9

  8. 0.5 x 1 = 0.5 0.5 x 0.1 = _____ 0.5 x 0.01 = 0.005

  9. 3.82 x 1 = 3.82 3.82 x 0.1 = _____ 3.82 x 0.01 = 0.0382

  10. 7.2 x 1 = _____ 7.2 x 0.1 = 0.72 7.2 x 0.01 = ____

  11. What is the value of n? 10 x 0.009 = n

  12. What is the value of n? n x 0.08 = 0.8

  13. What is the value of n? 100 x n = 4.5

  14. Your Turn

  15. 1 x 0.005 = 0.005 10 x 0.005 = _____ 100 x 0.005 = 0.5 1,000 x 0.005 = 5

  16. 1 x 4.761 = 4.761 10 x 4.761 = 47.61 100 x 4.761 = _____ 1,000 x 4.761 = ______

  17. 1 x 0.45 = 0.45 10 x 0.45 = _____ 100 x 0.45 = _____ 1,000 x 0.45 = ______

  18. 1 x 0.9 = ______ 0.1 x 0.9 = 0.09 0.01 x 0.9 = _____

  19. 1 x 8.2 = 8.2 0.1 x 8.2 = 0.82 0.01 x 8.2 = _____

  20. 1 x 9.8 = ______ 0.1 x 9.8 = _____ 0.01 x 9.8 = 0.098

  21. What is the value of n? 1.5 x n = 0.15

  22. What is the value of n? n x 3.8 = 0.038

  23. What is the value of n? 0.07 x n = 0.007

  24. Word Problems

  25. A half dollar is 0.50 of a dollar. What is the value of 100 half dollars? Of 1,000 half dollars?

  26. Mario used up 0.1 bottle of vanilla that held 2.5 ounces. How many ounces did he use?

  27. A package contains 100 small pieces of candy. The package contains 12.5 grams of fat. How many grams of fat are in each piece of candy?

  28. At the school dance, 100 people bought candy bars. Each candy bar cost $0.65. What was the total amount collected from the ice cream sales?

  29. Jason learned that Native earth houses 45 feet long. He built a model that is 0.01 times as long. How long is Jason’s model?

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