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Significant Figures and Scientific Notation Practice

Significant Figures and Scientific Notation Practice. Solutions. 1. Solve : 345.009 g - 23.009 g = 322.000. 3 decimal places. 3 decimal places. Solve: 923 g divided by 20,312 cm 3 = 0.0454. 3 sig fig. 3 sig fig. 5 sig fig.

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Significant Figures and Scientific Notation Practice

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  1. Significant Figures and Scientific Notation Practice Solutions

  2. 1. Solve: 345.009 g - 23.009 g = 322.000 3 decimal places 3 decimal places

  3. Solve: 923 g divided by 20,312 cm3= 0.0454 3 sig fig 3 sig fig 5 sig fig

  4. How many significant figures are in the measurement 1.3000 meters? 5 sig figs The zeros counts because we could have written it without, but we didn’t

  5. Convert the following measurement to scientific notation: 101,000 grams 1 0 1,0 0 0 = 1.01 x 105

  6. 3.12 g + 0.8 g + 1.033 g = 4.953 = 5.0 One decimal place

  7. A piece of stone has a mass of 24.595 grams and a volume of 5.34 cm3. What is the density of the stone? (remember that density = m/v) 24.595/5.34 = 4.61g/cm3 5 sig fig 3 sig fig

  8. 34.530 g + 12.1 g + 1 222.34 g = 168.97 = 169.0 One decimal place

  9. Solve: 1.23 m x 0.89 m = 1.0947 = 1.1 m 3 sig fig 2 sig fig

  10. Round the following measurement to three significant figures: 0.90985 cm2 0.910 cm2 Round up at

  11. How many significant figures are in the measurement 10240. meters? 5 Since there is a decimal place, we count everything

  12. 7.987 m - 0.54 m = 7.447 = 7.45 3 decimal places 2 decimal places

  13. The mass of a watch glass was measured four times. The masses were 99.997 g, 100.008 g, 100.011 g, and 100.005 g. What is the average mass of the watch glass? (99.997 + 100.008 + 100.011 + 100.005)/4 Since all of our measurements has 3 decimal places, The answer should also have 3 decimal places (note the 4 does not determine the sig fig) 100.005 g

  14. Convert the value of 0.0000214 to scientific notation 0.0000214 => 2.14 x 10-5 Move the decimal place

  15. Add the following: 2.34x102 + 3.62x102 (2.34 + 3.62) x 102 = 5.96 x 102

  16. 3.62x10-4– 2.34x10-4 = (3.62 – 2.34) x 10-4 = 1.28 x 10-4

  17. Multiply the following: 3.62x10-3and 2.34x10-2 (3.62 x 2.34) x 10(-3+-2) (8.4708) x 10-5= 8.47 x 10-5

  18. Divide the following: 9.33x103 by 3.11x102 (9.33/3.11) x 10(3-2)= 3.00 x 101 = 30.0

  19. Expand 3.24x10-5 and 6.28x107 3.24x10-5= 0.0000324 6.28x107 = 62800000

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