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How do scientists express uncertainty in measurement?
What is the length of the board?
… how about now?
Is this any better?
One last time…
Reporting measurements using significant figures
Reporting Measurements using significant figures
Reading a Balance <ul><li>Four Beam Balance </li></ul>
Rules for determining significant figures
How many significant figures? <ul><li>103 m </li></ul><ul><li>57.6080 s </li></ul><ul><li>0.024 g </li></ul><ul><li>120 kg...
Round each value to three significant figures <ul><li>23.42 m </li></ul><ul><li>0.4059 s </li></ul><ul><li>45.75 L </li></...
Calculations with Significant Figures
Carry out the following calculations and report your answer with the correct number of significant figures.
Putting a number into scientific notation <ul><li>All numbers, regardless of magnitude, can be expressed in the form: N x ...
Positive Exponents <ul><li>36,600  </li></ul><ul><li>exponent of 10 is a positive whole number  </li></ul><ul><li>value of...
Negative Exponents <ul><li>0.00563  </li></ul><ul><li>exponent of 10 is a negative whole number  </li></ul><ul><li>value o...
Write each value in scientific notation.
Convert to Scientific Notation <ul><li>727 m </li></ul><ul><li>17200.0 s </li></ul><ul><li>0.000984 kg </li></ul><ul><li>1...
Rules for calculations with scientific notation.
Write this down! <ul><li>NEVER EVER </li></ul><ul><li>enter x 10  ^ into your calculator! </li></ul>
Calculate
Calculate
Calculate
SI Base Units
SI Unit Prefixes
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Chapter 2 Slideshow

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Chapter 2 Slideshow

  1. 1. How do scientists express uncertainty in measurement?
  2. 2. What is the length of the board?
  3. 3. … how about now?
  4. 4. Is this any better?
  5. 5. One last time…
  6. 6. Reporting measurements using significant figures
  7. 7. Reporting Measurements using significant figures
  8. 8. Reading a Balance <ul><li>Four Beam Balance </li></ul>
  9. 9. Rules for determining significant figures
  10. 10. How many significant figures? <ul><li>103 m </li></ul><ul><li>57.6080 s </li></ul><ul><li>0.024 g </li></ul><ul><li>120 kg </li></ul><ul><li>100.0 mL </li></ul><ul><li>250. km </li></ul>
  11. 11. Round each value to three significant figures <ul><li>23.42 m </li></ul><ul><li>0.4059 s </li></ul><ul><li>45.75 L </li></ul><ul><li>110.59 g </li></ul><ul><li>23.851 kg </li></ul>
  12. 12. Calculations with Significant Figures
  13. 13. Carry out the following calculations and report your answer with the correct number of significant figures.
  14. 14. Putting a number into scientific notation <ul><li>All numbers, regardless of magnitude, can be expressed in the form: N x 10 n where </li></ul><ul><ul><li>1<N<10 </li></ul></ul><ul><ul><li>n is a positive or negative integer </li></ul></ul><ul><li>When written in standard form there must be one digit, and only one digit to the left of the decimal point in the number N. </li></ul><ul><ul><li>standard: 1.23 x 10 6 </li></ul></ul><ul><ul><li>non-standard: 123 x 10 4 </li></ul></ul>
  15. 15. Positive Exponents <ul><li>36,600 </li></ul><ul><li>exponent of 10 is a positive whole number </li></ul><ul><li>value of the exponent = number of places the decimal point must be moved so that the notation is in standard form. </li></ul><ul><li>36,600 x 10 0 Non-standard </li></ul><ul><li>3.66 x 10 4 Standard </li></ul>
  16. 16. Negative Exponents <ul><li>0.00563 </li></ul><ul><li>exponent of 10 is a negative whole number </li></ul><ul><li>value of the exponent = number of places the decimal point must be moved so that the notation is in standard form </li></ul><ul><li>0.00563 x 10 0 Non-standard </li></ul><ul><li>5.63 x 10 -3 Standard </li></ul>
  17. 17. Write each value in scientific notation.
  18. 18. Convert to Scientific Notation <ul><li>727 m </li></ul><ul><li>17200.0 s </li></ul><ul><li>0.000984 kg </li></ul><ul><li>1.56 x 10 4 m </li></ul><ul><li>3.6 x 10 -2 kg </li></ul>Convert to Decimal Form
  19. 19. Rules for calculations with scientific notation.
  20. 20. Write this down! <ul><li>NEVER EVER </li></ul><ul><li>enter x 10 ^ into your calculator! </li></ul>
  21. 21. Calculate
  22. 22. Calculate
  23. 23. Calculate
  24. 24. SI Base Units
  25. 25. SI Unit Prefixes

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