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Worksheet

Converting from Scientific Notation

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Show your work for each problem.

  1. 1.
    What is 5×1035 \times 10^3 as an ordinary number?
    1. a)500500
    2. b)5050
    3. c)0.0050.005
    4. d)50005000
  2. 2.
    Write 7×1027 \times 10^2 as an ordinary number.
  3. 3.
    Which number is equal to 4×10−24 \times 10^{-2}?
    1. a)0.0040.004
    2. b)0.040.04
    3. c)400400
    4. d)0.40.4
  4. 4.
    Write 3×10−13 \times 10^{-1} as a decimal number.
  5. 5.
    Write 6.1×1046.1 \times 10^4 as an ordinary number.
  6. 6.
    Write 9×10−39 \times 10^{-3} as a decimal number.
  7. 7.
    A calculator shows 2.5E-7. Which number is that?
    1. a)0.00000250.0000025
    2. b)0.000000250.00000025
    3. c)−25,000,000-25{,}000{,}000
    4. d)25,000,00025{,}000{,}000
  8. 8.
    Write 2.75×1052.75 \times 10^5 as an ordinary number.
  9. 9.
    Write 5.6×10−55.6 \times 10^{-5} as a decimal number.
  10. 10.
    The average distance from Mars to the Sun is 2.28×1082.28 \times 10^8 km. Write it as an ordinary number of kilometers.
  11. 11.
    Which number is equal to 5.06×10−45.06 \times 10^{-4}?
    1. a)0.00005060.0000506
    2. b)0.005060.00506
    3. c)50605060
    4. d)0.0005060.000506
  12. 12.
    A human hair is about 8×10−58 \times 10^{-5} m thick. Write the thickness as a decimal number of meters.
  13. 13.
    A spreadsheet shows 4.05E7 as the total of a column. Write the total as an ordinary number.
  14. 14.
    Write 9.99×10−79.99 \times 10^{-7} as a decimal number.
  15. 15.
    Which conversion is correct?
    1. a)6.7×10−3=0.00676.7 \times 10^{-3} = 0.0067
    2. b)8×100=808 \times 10^{0} = 80
    3. c)2.3×10−2=0.232.3 \times 10^{-2} = 0.23
    4. d)4.1×103=41,0004.1 \times 10^{3} = 41{,}000
  16. 16.
    A dust mite is about 2.5×10−42.5 \times 10^{-4} m long. Write the length in meters as a decimal number, then in millimeters (11 m =1000= 1000 mm).
  17. 17.
    One light-year is about 9.461×10129.461 \times 10^{12} km. Write this distance as an ordinary number of kilometers.
  18. 18.
    A hydrogen atom has a diameter of about 1.06×10−101.06 \times 10^{-10} m. When you write this diameter as a decimal number of meters, how many digits come after the decimal point?
Interactive lesson with step-by-step solutions and more practice (free): mathorio.com/en/learn/arithmetic/scientific-notation/converting-from-scientific
Today's challengeOne problem, three tries