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Rounding and Calculations with Significant Digits

Rounding and Calculations with Significant Digits. Do Now. Oral Drill. How many significant figures?. 9.00 meters. How many significant figures?. 900 meters. How many significant figures?. 900 golf clubs. How many significant figures?. 0.0009 meters. How many significant figures?.

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Rounding and Calculations with Significant Digits

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  1. Rounding and Calculations with Significant Digits

  2. Do Now

  3. Oral Drill

  4. How many significant figures? • 9.00 meters

  5. How many significant figures? 900 meters

  6. How many significant figures? 900 golf clubs

  7. How many significant figures? 0.0009 meters

  8. How many significant figures? 0.0090 meters

  9. How many significant figures? 900.00 meters

  10. How many significant figures? 90 miles

  11. How many significant figures? 24 hours/1 day

  12. Describe this data with respect to accuracy and precision • 4.5 m • 4.6 m • 4.7 m • 4.5 m • (True value = 1.5 m)

  13. Describe this data with respect to accuracy and precision 4.5 L 4.6 L 4.7 L 4.5 L (True value = 4.5L)

  14. Reviewing Rounding Rules • If leftmost digit to be dropped is: • Less than 5 (1, 2, 3, or 4): • More than 5 (6, 7, 8 or 9) : • Equal to 5 • AND there are no numbers or all zeros after it: • If ODD: • If EVEN: • AND there are non-zeros after it: :

  15. Practice: 6.8001 (round to three s.f)

  16. Practice: 6.8060 (round to three s.f)

  17. Practice: 6.8050 (round to three s.f)

  18. Practice: 6.8051 (round to three s.f)

  19. Practice: Round to 3 s.d. • 90,050 • 8,994 • 73,555 • 73,500 • 73,515

  20. Rule for adding and subtracting with Significant Figures • Your answer should use the same number of s.f. as the least number of significant digits after the decimal in your measurements

  21. Example: • 4.5m + 7m = 11.5m

  22. Example • 15.000m – 1.00m= 14m

  23. Rule for multiplying and dividing with Significant Figures • Your answer should use the same number of s.f. as the least number of significant digits in your measurements

  24. Example: • 9.0m x 0.5400m = 4.86m2

  25. Independent Practice • Complete Significant Digits HW II (I will pass it back to you) • Complete WiRe

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