# Significant Figures Physics. All nonzero digits are significant 1, 2, 3, 4, 5, 6, 7, 8, 9 Nonzero Digits.

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Significant Figures Physics

All nonzero digits are significant 1, 2, 3, 4, 5, 6, 7, 8, 9 Nonzero Digits

Embedded Zeros are Significant Zeros between other nonzero digits are significant 60.5 3,008 340,506 Embedded Zeros

Leading Zeros are NOT significant Zeros in front of nonzero digits are not significant 0.75.0032 0.0005 Leading Zeros

Trailing Zeros in a number with a decimal place ARE significant Zeros that are at the end of a number containing a decimal place ARE significant 5.0 33.20 4800. Trailing Zeros

Trailing Zeros in a number without a decimal place are NOT significant Zeros that are at the end of a number NOT containing a decimal place are NOT significant 50 3320 4800 Trailing Zeros II

a) 18.3 b) 183 c).00183 d) 183.0 e) 50 f) 505 g).0050 h) 5000. i) 200.00 j) 0.00220 k) 22020 How many Sig-Figs ?

a) 18.3 3 b) 183 3 c).00183 3 d) 183.0 4 e) 50 1 f) 505 3 g).0050 2 h) 5000. 4 i) 200.00 5 j) 0.00220 3 k) 22020 4 How many Sig-Figs ?

The final answer should have the same number of decimal places as the number with the least number of decimal places. 90.3 + 2.23 = 92.53 = 92.5 180.1 + 5.202 + 3.32 = 188.632 = 188.6 Addition & Subtraction

The final answer has the same number of sig-figs as the number with the least number of sig-figs. 123 x 5.35 = 658.05 = 658 16 x 2 = 32 = 30 16 x 2.0 = 32 = 32 Multiplication & Division

20.23 + 17.405 +.230 = ________ 20.12 + 5.2 +.245 +100.4 = ________ 5.35 x 20.2 x 5.0 = _______ 2.00 x 500 = _______ 2.5 x 55.5 = ________ Express Result in Sig-Figs

20.23 + 17.405 +.230 = 37.865=37.86 20.12 + 5.2 +.245 +100.4 = 125.965=126.0 5.35 x 20.2 x 5.0 = 540.35 = 540 2.00 x 500 = 1000 2.5 x 55.5 = 138.75 = 140

Round Down whenever the digit following the last sig-fig is 0, 1, 2, 3 or 4 Examples of #’s with 3 sig-figs: 50.24 = 50.2 1.0038 = 1.00 230.29 = 230. Round Down

Round Up whenever the digit following the last sig-fig is a 6, 7, 8 or 9 Examples of #’s with 3 sig-figs: 183.6 = 184.053078 =.0531 23.46 = 23.5 Round Up

Round UP if the digit following the last sig-fig is a 5 followed by a nonzero digit. Examples with 3 sig-figs: 23.451 = 23.5.018752 =.0188.102531 =.103 Rounding with 5’s I

Round DOWN if the last sig-fig is an even # and the next digit is a 5, with no other nonzero digits. Round UP if the last sig-fig is an odd # and the next digit is a 5, with no other nonzero digits. Examples of #’s with 3 sig-figs: 12.250 = 12.2 13.25 = 13.2 2.345 = 2.34 7.3850 = 7.38 Rounding with 5’s II

a) 12.35 b) 100.5 c).0001055 d) 1.2251 e) 230,515 f) 456.5 g) 223.50 h) 1000.5 Express each in 3 Sig-Figs

a) 12.35 b) 100.5 c).0001055 a) 12.4 b) 100. c).000106 d) 1.2251 e) 230,515 f) 456.5 d) 1.23 e) 231,000 f) 456 g) 223.50 h) 1000.5 g) 224 h) 1000 Answers

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