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Chapter 2 – Practice Problems (Expressing Numbers)

  1. Express these numbers in scientific notation.
    • a. 56.9
    • b. 563,100
    • c. 0.0804
    • d. 0.00000667
  2. Express these numbers in scientific notation.
    • a. −890,000
    • b. 602,000,000,000
    • c. 0.0000004099
    • d. 0.000000000000011
  3. Express these numbers in scientific notation.

    • a. 0.00656
    • b. 65,600
    • c. 4,567,000
    • d. 0.000005507
  4. Express these numbers in scientific notation.
    • a. 65
    • b. −321.09
    • c. 0.000077099
    • d. 0.000000000218
  5. Express these numbers in standard notation.
    • a. 1.381 × 105
    • b. 5.22 × 10−7
    • c. 9.998 × 104
  6. Express these numbers in standard notation.
    • a. 7.11 × 10−2
    • b. 9.18 × 102
    • c. 3.09 × 10−10
  7. Express these numbers in standard notation.
    • a. 8.09 × 100
    • b. 3.088 × 10−5
    • c. −4.239 × 102
  8. Express these numbers in standard notation.
    • a. 2.87 × 10−8
    • b. 1.78 × 1011
    • c. 1.381 × 10−23
  9. These numbers are not written in proper scientific notation. Rewrite them so that they are in proper scientific notation.
    • a. 72.44 × 103
    • b. 9,943 × 10−5
    • c. 588,399 × 102
  10. These numbers are not written in proper scientific notation. Rewrite them so that they are in proper scientific notation.
    • a. 0.000077 × 10−7
    • b. 0.000111 × 108
    • c. 602,000 × 1018
  11. These numbers are not written in proper scientific notation. Rewrite them so that they are in proper scientific notation.
    • a. 345.1 × 102
    • b. 0.234 × 10−3
    • c. 1,800 × 10−2
  12. These numbers are not written in proper scientific notation. Rewrite them so that they are in proper scientific notation.
    • a. 8,099 × 10−8
    • b. 34.5 × 100
    • c. 0.000332 × 104
  13. Write these numbers in scientific notation by counting the number of places the decimal point is moved.
    • a. 123,456.78
    • b. 98,490
    • c. 0.000000445
  14. Write these numbers in scientific notation by counting the number of places the decimal point is moved.
    • a. 0.000552
    • b. 1,987
    • c. 0.00000000887
  15. Use your calculator to evaluate these expressions. Express the final answer in proper scientific notation.
    • a. 456 × (7.4 × 108) = ?
    • b. (3.02 × 105) ÷ (9.04 × 1015) = ?
    • c. 0.0044 × 0.000833 = ?
  16. Use your calculator to evaluate these expressions. Express the final answer in proper scientific notation.
    • a. 98,000 × 23,000 = ?
    • b. 98,000 ÷ 23,000 = ?
    • c. (4.6 × 10−5) × (2.09 × 103) = ?
  17. Use your calculator to evaluate these expressions. Express the final answer in proper scientific notation.
    • a. 45 × 132 ÷ 882 = ?
    • b. [(6.37 × 104) × (8.44 × 10−4)] ÷ (3.2209 × 1015) = ?
  18. Use your calculator to evaluate these expressions. Express the final answer in proper scientific notation.
    • a. (9.09 × 108) ÷ [(6.33 × 109) × (4.066 × 10−7)] = ?
    • b. 9,345 × 34.866 ÷ 0.00665 = ?

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