1. Significant Figures Physics

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

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

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

5. 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

6. 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

7. 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 ?

8. 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 ?

9. 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

10. 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

11. 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

12. 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

13. 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

14. 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

15. 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

16. 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

17. 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

18. 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