1 / 4

Significant figures

Significant figures. 1 . All non-zero digits are significant. Zeros are only significant if they have a non-zero digit to their left. In the examples below significant zeros are in red . 2 0 3 = 3sf 023 = 2sf 23 0 = 3sf 0.034 = 2sf 0.034 0 = 3sf 0.03 0 4 = 3sf

tasya
Download Presentation

Significant figures

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. Significant figures 1. All non-zero digits are significant. • Zeros are only significant if they have a non-zero digit to their left. In the examples below significant zeros are in red. 203 = 3sf 023 = 2sf 230 = 3sf 0.034 = 2sf 0.0340= 3sf 0.0304 = 3sf 5.45 = 3sf 5.405 = 4sf 5.450 = 4sf 0.037 = 2sf 1.037 = 4sf; 1.0370 = 5sf

  2. Example Consider the number 3250.040 It is quoted to SEVEN significant figures SIX s.f. = 3250.04 FIVE s.f. = 3250.0 FOUR s.f. = 3250 (This is NOT 3 s.f.) THREE s.f. = 325 x 101 (as also is 3.25 x 103) TWO s.f. = 33 x 102 (as also is 3.3 x 103) ONE s.f. = 3 x 103 (3000 is FOUR s.f.) 103 is ZEROs.f. (Only the order of magnitude)

  3. Complete: Answers: 3 2 3 1 3 2 3 0 3 2

  4. Significant figures in calculations Example: Calculate the volume of a metal of mass 3.52g if a volume of 12.3cm3 of the metal has a mass of 55.1g. density of metal = mass / volume = / 12.3 (original information given to 3sf) = 4.4797 (Intermediate calculations should be performed to at least 2sf more than the original information – calculator had ‘4.4796747’) volume = density / mass = 4.4797 / 3.52 = 0.786 volume = 0.786 cm3 (The final answer should be given to the same sf as the original information.)

More Related