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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

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Significant figures

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  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.)

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