48 Exercise Answers: Module 11 — Technical Mathematics

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Exercise Answers: Module 11

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Scientific Notation

  1. Earth’s mass is larger because it’s a 25-digit number and Mars’ mass is a 24-digit number, but it might take a lot of work counting the zeros to be sure.
  2. Earth’s mass is about ten times larger, because the power of 10 is 1 higher than that of Mars.
  3. A chlorine atom’s radius is larger because it has 9 zeros before the significant digits begin, but a hydrogen atom’s radius has 10 zeros before the significant digits begin. As above, counting the zeros is a pain in the neck.
  4. The chlorine atom has a larger radius because its power of 10 is 1 higher than that of the hydrogen atom. (Remember that -10 is larger than -11 because -10 is farther to the right on a number line.)
  5. 1.234 \times 10^3
  6. 1.02 \times 10^7
  7. 8.7 \times 10^{-4}
  8. 7.32 \times 10^{-2}
  9. 35,000
  10. 90,120,000
  11. 0.00825
  12. 0.000014
  13. 8 \times 10^7
  14. 3.5 \times 10^{13}
  15. 6 \times 10^{-5}
  16. 4.8 \times 10^5
  17. the proton’s mass is roughly 1,830 or 1.83 \times 10^3 times larger
  18. 1.67 \times 10^{-21} kg
  19. 1.67 \times 10^{-18} kg
  20. 330.2 \times 10^6; 3.302 \times 10^8
  21. 7.68 \times 10^9; 7.68 \times 10^9
  22. 26.6 \times 10^{12}; 2.66 \times 10^{13}

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