Understanding Scientific Notation and Significant Figures

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Learn how to convert numbers into scientific notation, determine the correct number of significant figures, and apply them in measurements and calculations. Understand concepts such as density calculations through practical examples.

  • Scientific Notation
  • Significant Figures
  • Density
  • Measurements
  • Calculations

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  1. Convert into Scientific Notation: 0.00856

  2. 8.56 x 10-3

  3. Convert into Scientific Notation: 375000

  4. 3.75 x 105

  5. How many Sig Figs? 1.00

  6. 3

  7. How many Sig Figs? 1150

  8. 3

  9. How many Sig Figs? 0.005

  10. 1

  11. 201 + 4.23 **Use correct Sig Figs

  12. 205

  13. 111.0 x 40.235 *Use Correct Number of Sig Figs

  14. 4466

  15. 7.2 7.14 Use correct number of sig figs

  16. 0.1

  17. What is the correct measurement using sig figs?

  18. 2.44 cm

  19. A 16.1 g sample of platinum has a volume of 0.750 mL. What is the Density?

  20. 21.5 g/mL

  21. A student measures the mass of a sample of metal to be 46.98 g. The student places the sample into a graduated cylinder containing 40.00 mL of water. The water then rises to 44.20 mL. What is the density of the metal?

  22. 46.98/(44.20-40.00)= 11.19 g/mL

  23. What is the percent error in a measurement of the boiling point of naphthalene as 231.0oC, given that the literature reports the value as 217.9oC?

  24. 6.012%

  25. How many cm are in 34 yards? (1 yd = 3 ft) (1 in = 2.54cm)

  26. 34 yd 34 yd 3 ft 3 ft 12 in 12 in 2.54 cm 2.54 cm 1 yd 1 ft 1 in = 3108.96 =3100 cm (need 2 sig figs) =3100 cm (need 2 sig figs)

  27. Convert 300 km to cm

  28. 300 km 300 km 1000 m 1000 m 1 km 100 cm 100 cm 1 m =30000000 cm = 3 x 107cm

  29. How many feet are in 78.0 cm? (1 in = 2.54 cm)

  30. 78.0 cm 78.0 cm 1 in 1 in 2.54 cm 12 in 1 ft 1 ft =2.559055118 =2.56 ft =2.56 ft

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