1 / 11

G. For scientific notation, count all numbers given in the coefficient as significant

G. For scientific notation, count all numbers given in the coefficient as significant Ex: 8.207 x 10 -2 4 S.F. Ex: 1.20 x 10 5 3 S.F. H. Rules for ROUNDING. If the digit to be removed is less than 5, the preceding digit stays the same. Ex: Round 1.33 to 2 SF 1.3.

lareina-mccarty
Download Presentation

G. For scientific notation, count all numbers given in the coefficient as significant

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. G. For scientific notation, count all numbers given in the coefficient as significant • Ex: 8.207 x 10-2 4 S.F. • Ex: 1.20 x 105 3 S.F.

  2. H. Rules for ROUNDING If the digit to be removed is less than 5, the preceding digit stays the same. Ex: Round 1.33 to 2 SF 1.3 Ex: Round 17.423 to 4 SF? 17.42

  3. If the digit to be removed is equal to or greater than 5, the proceeding digit is increased by 1. Ex: Round 1.36 to 2 SF 1.4 Ex: Round 3.15 to for 2 SF? 3.2

  4. Look only to the first number to the right of the last significant figure when rounding off. Ex: 4.348 to 2 SF would be 4.3…..not 4.4 Ex: 6.8347 to 3 SF 6.83

  5. I. +,-, x, / of Sig Figs Suppose you had to divide 154 by 327. The calculator would show 0.470948012 The answer contains digits not justified by the measurements used to calculate it. Your answer can only be as accurate as your least accurate measurement. So we have rules for x,/, +,- significant digits

  6. Addition or Subtraction of Sig Figs RULE: The answer can only have as many decimal positions as the value with the least number of decimal places. Ex: 156.02 (2 decimal spaces) - 6.4 (1 decimal space)** 149.62 Correct answer: 149.6

  7. Ex: Add 12.11 18.0 1.013 **Least decimal space is 1 in 18.0 31.123 Correct answer would be 31.1 Ex: Subtract 0.6875 - 0.1 0.5875 Correct answer would be 0.6

  8. E. Multiplying and dividing with Sig Figs RULE: The final answer can only have as many SF as the value with the least number of SF.

  9. Ex: 15.55 x 4.0 4 SF 2 SF 62.2 Since 4.0 has only two significant figures, the answer must be 62

  10. Ex: 8.3135 divided by 298 8.3135 has 5 SF 298 has 3 SF So your answer needs to have 3 SF 8.3135 divided by 298 is 0.0279027 but would be 0.0279

  11. Ex: 5.3 X 2 = 10.6 but with SF would be 10 NOTE: +, - count decimal places x, / count SF Ex: 10.1 X 5.02 = 50.702 but with 3 SF it would be 50.7

More Related