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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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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? 0.0090 meters
How many significant figures? 900.00 meters
How many significant figures? 90 miles
How many significant figures? 24 hours/1 day
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)
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)
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: :
Practice: Round to 3 s.d. • 90,050 • 8,994 • 73,555 • 73,500 • 73,515
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
Example: • 4.5m + 7m = 11.5m
Example • 15.000m – 1.00m= 14m
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
Example: • 9.0m x 0.5400m = 4.86m2
Independent Practice • Complete Significant Digits HW II (I will pass it back to you) • Complete WiRe