1 / 15

Understanding Scientific Notation, Significant Digits, Density, Precision, and Accuracy

This chapter reviews essential concepts in scientific notation, significant digits, density, precision, and accuracy. It includes detailed calculations involving scientific notation and demonstrates the importance of significant zeros depending on their positions from the Atlantic and Pacific sides. Key calculations are presented, highlighting how to round to the correct number of significant digits in various mathematical operations. Additionally, density is defined as mass per volume, with units specified. The distinction between accuracy and precision is clarified to enhance understanding in scientific measurements.

troy-lester
Download Presentation

Understanding Scientific Notation, Significant Digits, Density, Precision, and Accuracy

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Ch 2 Review of Scientific notation, significant digits, density, precision, and accuracy

  2. Scientific Notation Perform these calculations: (3.2 X 105) (6.02 X 1023) = 1.9 X 1029 (9.23 X 10-8) / (6.1 X 1023) = 1.5 X 10-31 (7.9 X 10-6) + (4.0 X 10-8) = 7.94 X 10-6

  3. Starting from the Atlantic Side If you “run across” zeros before you cross a non-zero digit on the Atlantic side Those Zeros ARE Significant! 10.04000 0.00400

  4. Starting from the Pacific Side… 12.00300 Zeros on the pacific side Are NOT Significant 0.00456 0.0045600

  5. Atlantic: Are significant Pacific: Place holders 0.009 11.009 11.090 0.0090

  6. 45,000 4.1005 1,234,567,891 1,234,056,789 0.005 0.0050 1.0050 0.00304 10.00304 1 dozen eggs 1 mile 8 cats 1 000 m = 1 km 23.14 Significant Digits

  7. Round to the correct number of significant digits • 12.30 X 0.003 = • 12.30 X 0.0030 = • 12.30 X 0.00300 =

  8. Answers • 12.30 X 3 = 36.9, 40 • 12.30 X 3.0 = 36.9, 37 • 12.30 X 3.00 = 36.9

  9. Round to the correct number of significant digits • 120 / 3.14 = 5. 14 / 32.00= .4375 or .44 6. 200 X 0.500 = 100

  10. Answers 4. 120 X 3.14 = 380 5. 0.0120 X 0.7 = 0.008 6. 0.23 X 0.50600 =0.12

  11. Round to the correct number of significant digits 7.(6 X 104 ) (5.27 X 10-6 ) = 8. (6.809 X 104)/(9.200 X 10-6)

  12. Answers 7. (6 X 104 ) (5.27 X 10-6 ) = 0.3 or 3 x 10-1 8. (6.809 X 104)/(9.200 X 10-6) = 7.401 X 109

  13. Density • Density = mass volume Mass in grams Volume in ml or cm3 Units: g/ml or g/ cm3

  14. Precision and accuracy • Accuracy-how close a measured value is to an accepted value • Precision – how close a series of measurements are to 1 another. Show little variation over a series of trials.

More Related