Additional Exercises

  1. Evaluate 0.00552 × 0.0006188 and express the answer in scientific notation. You may have to rewrite the original numbers in scientific notation first.
  2. Evaluate 333,999,500,000 ÷ 0.03396 and express the answer in scientific notation. You may need to rewrite the original numbers in scientific notation first.
  3. Express the number 6.362 × 106 in standard notation.
  4. Express the number 6.626 × 10−4 in standard notation.
  5. When powers of 10 are multiplied together, the powers are added together. For example,
    102 × 103 = 102+3 = 105. With this in mind, can you evaluate (4.506 × 104) × (1.003 × 102) without entering scientific notation into your calculator?
  6. When powers of 10 are divided into each other, the bottom exponent is subtracted from the top exponent. For example, 105 ÷ 103 = 105−3 = 102. With this in mind, can you evaluate (8.552 × 106) ÷ (3.129 × 103) without entering scientific notation into your calculator?
  7. Consider the quantity two dozen eggs. Is the number in this quantity “two” or “two dozen”? Justify your choice.
  8. Consider the quantity two dozen eggs. Is the unit in this quantity “eggs” or “dozen eggs”? Justify your choice.
  9. Fill in the blank: 1 km = ______________ μm.
  10. Fill in the blank: 1 Ms = ______________ ns.
  11. Fill in the blank: 1 cL = ______________ ML.
  12. Fill in the blank: 1 mg = ______________ kg.
  13. Express 67.3 km/h in meters/second.
  14. Express 0.00444 m/s in kilometers/hour.
  15. Using the idea that 1.602 km = 1.000 mi, convert a speed of 60.0 mi/h into kilometers/hour.
  16. Using the idea that 1.602 km = 1.000 mi, convert a speed of 60.0 km/h into miles/hour.
  17. Convert 52.09 km/h into meters/second.
  18. Convert 2.155 m/s into kilometers/hour.
  19. What is the mass of 12.67 L of mercury? Assume a density of 13.5 g/mL.
  20. What is the mass of 0.663 m3 of air? Assume a density of 1.2754 kg/m3.
  21. What is the volume of 2.884 kg of gold? Assume a density of 19.30 g/cm3.
  22. What is the volume of 40.99 kg of cork? Assume a density of 0.22 g/cm3.

Answers

  1. 3.42 × 10−6
  1. 6,362,000
  1. 4.520 × 106
  1. The quantity is two; dozen is the unit.
  1. 1,000,000,000
  1. 0.00000001 or 1 × 10-8  ML
  1. 18.7 m/s
  1. 96.1 km/h
  1. 14.47 m/s
  1. 1.71 × 105 g
  1. 149 mL

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Chem&121: Introduction to Chemistry Copyright © 2023 by Lake Washington Institute of Technology is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License, except where otherwise noted.

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