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Published byClemence Meghan Harmon Modified over 9 years ago

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Significant Figures 1.All non-zero digits are significant (2.45 has 3 SF) 2.Zeros between (sandwiched)non- zero digits are significant (303 has 3 SF)

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3. Zeros to the left of all non-zero digits are NEVER significant (0.000025 has 2 SF and 0.0000125 has 3 SF) 4.Zeros to the right of all non-zero digits are only significant if they are also to the right of the decimal (250 has 2 SF and 250.00 has 5 SF)

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5.Counting numbers have infinite significant figures (21 students has infinite SF) 6. Exactly defined quantities have infinite significant figures (100 cm = 1 m -both terms have infinite SF)

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Practice 0.00400 1000 681.000 404.0040 3 SF 1 SF 6 SF 7 SF

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Adding and Subtracting with Significant Figures The answer should have no more decimal places than the number in the problem with the least decimal places. 10.21 cm + 5.3 cm 15.51 cm = 15.5 cm

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Practice 721.493 m - 508.2 m 213.293 m 7.516 g + 2.1 g 9.616 g 0.00307 ml + 0.406 ml 0.40907 ml

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Multiplying and Dividing The answer must be rounded to the same number of significant figures as the number in the problem with the least significant figures. 7.83 kg x 2.1 kg 16.443 kg = 16 kg

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27.634 g 12.4 cm 3 = 2.228548387 g /cm 3 = 2.23 g/ cm 3

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Practice (73814.69 m) (21.4 m) = 1579634.366 m 2 = 1580000 m 2 = 1.58 x 10 6 m 2 (691 g / 0.0004000cm 3 ) = 1727500 g / cm 3 = 1730000 g / cm 3 = 1.73 x 10 6 g / cm 3

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Rounding Select the place you want to round to: 26.3495 Look at the place after the one you want to round to: 26.3495 If < 5 round down If ≥ 5round up 26.35

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Practice 705.3998to4SF 0.00638114 to 3SF 6.037 x 10 -8 to3SF 7831to2SF 705.4 (7.054 x 10 2 ) 0.00638 (6.38 x 10 -3 ) 6.04 x 10 -8 7800 (7.8 x 10 3 )

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