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Entry task: Sept 28 th Friday. Question: Round the following to 2 significant figures: 256900 grams You have 5 minutes TURN IN ENTRY TASK SHEET!!. Agenda. Sign off & Discuss Sig Fig and Sci Notation Notes on MATH with Significant figures and Scientific notation. 5.87678 X 10 -3.
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Entry task: Sept 28th Friday Question: Round the following to 2 significant figures: 256900 grams You have 5 minutes TURN IN ENTRY TASK SHEET!!
Agenda • Sign off & Discuss Sig Fig and Sci Notation • Notes on MATH with Significant figures and Scientific notation.
5.87678 X 10-3 5.050 X 103 8 X 10-4 1.777870 X 106 2.5 X 10-1
1598 0.00150 375 220000 0.33587
Determine the number of significant figures in the following numbers. 1 2 4 5 1-4 5 6 1 4 1-3
Determine the number of significant figures in the following numbers. 4 5 4-7 6 3 4 3 4 4-9 1
5 X 108 5.092 X 108 5.09230000 X 108 5.09 X 108 5.1 X 108 5.09230 X 108
9.65 X 101 5.67 X 10-3 1.30 X 104 1.96 X 104 1.10 X 103 4.00 X 105
I can… Mathematically manipulate data to reflect the certainty of data
Adding and Subtracting measurements When quantities are being added or subtracted, the number of decimal places (not significant figures) in the answer should be the same as the least number of decimal places in any of the numbers being added or subtracted. Example: Add Up 5.67 kg (two decimal places) 1.1 kg (one decimal place) (four decimal place) 0.9378 kg 7.7078 (4 decimal places) (one decimal place) 7.7 kg
You try! 5.98 cm 34.9 cm 2.250 cm Which measurement has the least precise ruler? Which measurement has the most precise ruler? Remember: the last digit is the uncertain one 43.130 cm 3 decimal places This answer…. Is it correct? No, this suggest that all the measurements are just as precise. 43.1 cm
Practicing Adding & Subtracting Add or Subtract. 18.0 cm 7.8 cm + 6.000 cm + 4.20 cm = 1.210 g + 4.3200 g + 3.0 g = 8.5 g 1.090 kg – 0.4 kg = 0.7 kg 1.03 cm 1.12 cm – 0.093 cm – 0.0002 cm =
Practicing Adding & Subtracting Add or Subtract. 2.38g + 56.3269g + 1.355g = 60.06 g 23.1 cm + 632.26 cm = 655.4 cm 98.65 km - 5.2 km = 93.5 km 5.68 mm – 0.15 mm – 0.1 mm = 5.4 mm
Multiplication, Division, Trig. functions, etc. In a calculation involving multiplication, division, trigonometric functions, etc., the number of significant figures in an answer should equal the least number of significant figuresin any one of the numbers calculated. **Note that whole numbers have essentially an unlimited number of significant figures (1.13m) 5.79251786 m2 (5.126122m)= 3 SF 7 SF The answer is 5.79 m2 138 grams = 57813.15459 grams 0.002387 grams The answer is 57800 grams
Practicing Significant Figures Multiplication and Division. 9.0 m x 0.00075 m x 3.2 m = 0.0216 or 0.022m 6.730 g x 4.50 g = 30.205 or 30.3 g 6.7 ml 7.00 ml = 0.9571 or 0.96 ml 2.11 dm 0.003 dm = 703.33 or 700 dm
Practicing Significant Figures Multiplication and Division. 1.23 m x 369.5 m x 1.2 m = 545.38 or 550 m 56.29 g x 1.23 g = 69.236 g or 69.2 g 15.02 ml 0.20ml = 75.1 ml or 75 g 0.06 dm 5.0 dm= 0.012 dm or 0.01 dm