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Significant Figures Rules

Significant Figures Rules. What are Significant Figures?. They are all the numbers in a measurement that are known with certainty plus the first digit that is uncertain. Why use Significant Figures?.

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Significant Figures Rules

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  1. Significant Figures Rules

  2. What are Significant Figures? • They are all the numbers in a measurement that are known with certainty plus the first digit that is uncertain.

  3. Why use Significant Figures? • Significant figures are needed in science, because the tools we use to measure are not infinitely accurate.

  4. Significant Figure Rules

  5. 1. Non-zero digits and zeros between non-zero digits are always significant.

  6. 1, 2, 3, 4, 5, 6, 7, 8, 9 are non-zero numbers – they are always significant.

  7. 0046.78 – the zero’s are NOT significant460.708 – the zero’s are significant because they are between non-zero numbers.

  8. How many significant figures in the following numbers? • 36,838 • 7,038 • 800,005 • 036.73

  9. 2. Leading zeros are not significant.

  10. 004670.450.00245The zero’s are NOT significant due to the fact that they are leading zero’s.

  11. How many significant figures in the following numbers? • 46,064 • 0.004704 • 0074,736.04

  12. 3. Zeros to the right of all non-zero digits are only significant if a decimal point is shown.

  13. 35000737037000The above zeros are NOT significantThe below zero’s are significant.64.035000.7370.

  14. How many significant figures in the following numbers? • 67.300 • 2,800 • 9,000 • 8090.

  15. 4. For values written in scientific notation, the digits in the coefficient are significant.

  16. 6.02 x 1023All the number in the coefficient (6.02) are significant.

  17. How many significant figures in the following numbers? • 5.048 x108 • 8.00 x 10-4 • 4.70 x 102

  18. How many SIGNIFICANT FIGURES are in the following numbers?Write you answer in the space provided.2 minutes.

  19. 1.83.591

  20. 2. 5007

  21. 3.10.005

  22. 4. 20 080

  23. 5.1 000 000

  24. 6.0.0012

  25. 7.1.007

  26. 8.196.0

  27. 9.75000.

  28. 10.82000

  29. 11.1.52x10 22

  30. 12.2.00 x10-6

  31. Multiplying/Dividing with Sig Figs • When multiplying or dividing using significant figures, the product or quotient will contain the same number of significant figures as the number with the least significant figures. What is 23.95 x 11.7?

  32. 23.95 x 11.7 280.215Answer with correct Sig. Figs.280.

  33. Adding/Subtracting with Sig Figs • When adding or subtracting with significant figures, the sum or difference has the same number of decimal places as the measurement with the least number of decimal places. What is 23.96 + 11.7?

  34. 23.96 + 11.735.66Answer with correct Sig. Figs.35.7

  35. Do the following problems with the correct number of SIGNIFICANT FIGURES.Write you answer on the back of the notes.

  36. 1. 24 x 31.8

  37. 2. 8.40/4.2

  38. 3. 49.1 + 8.001

  39. 4. 81.350 - 7.35

  40. 5. 0.0056 x 3.227

  41. 6. 1007/33.6

  42. 7. 20300 – 2878.6

  43. 8.(1.5x1021) x (2.07x1013)

  44. Use the information from these note to complete the Significant Figures Worksheet.Be sure to ROUND properly!!Be prepared for a QUIZ over Significant Figures and Density tomorrow

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