Mastering Significant Figures: Addition, Subtraction, and More

School
Eastern Washington University**We aren't endorsed by this school
Course
CHEMISTRY 163
Subject
Mathematics
Date
Dec 12, 2024
Pages
2
Uploaded by MagistratePheasantMaster1198
“HOW TO” application of Sig Digs review of addition/ subtraction, multiplication/division rules in Math Show all work for addition/ subtraction problems : Rules of Addition and Subtraction: 1) If it is not already done, line up the numbers with the decimal at the same place vertically for all numbers. 2) Applying Sig Dig rules and underline/mark the sig dig that is farthest right in all of the numbers. 3) Add the numbers together and write down the calculator number, make sure that the decimals and number positions (ie. Tens position, hundreds position, etc.) all line up. 4) Draw an arrow straight down from the underlined/ marked number FURTHEST LEFT.5) That line shows you the position that you answer is limited to.6) Look to the immediate right of that number and check to see if it can round (5 or greater) and if it can then do so.7) Rewrite final adjusted answer.Addition/ subtraction1. 34.5862. 1870 3. 10100 – 4.3+ 43.2– 98.45330.2861913.210001.54730.3191010000 (big 0=sig.) so→ 1.00x1044. 120.000 5. 5.66. 7630 5.23- 4-600 125.2301.67030125.2327000 (big 0=sig.) so→ 7.0x103NOW YOU TRY!7. 65.4008. 901.89. 340032 – 56.0030+457– 19100Rewrite these to line up decimals.10. 18.001 + 23.0= ________11. 270 + 42.53= ______12. 43100- 32344 = _____13. 7832.02 – 563.0 = ______14. 1.01231- 0.0034= _____15. 430 + 55.9 =_____
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Multiplication/ division 1) Determine the number of sig. digs in each of the original numbers and write that number (number of sig digs) above that number (original number given)2) Circle the smallest of the sig. dig numbers. 3) Work the problem and write down the calculator answer.4) Starting from the left, move over the number of places that corresponds to the circled # of sig digs. Underline that number.5) Look to the immediate right of that number and determine if it can round the underlined value. If so, do it.6) If the underlined digit is a zero, you will need to convert the answer into scientific notation.(4)(3)(3)(1)(2)(3)13. 43010 x 4.52 = 194405.214. 0.0230 / .004 = 5.7515. 2.0 / 1.00 = 2.019400062.0(3)(2)(5)(2)(3)(1)16. 45.3 / 3.0 = 15.1 17. 76001 x 35 = 266003518. 9.43 x 3= 28.2915 2.7 x 106or 2700000 30(1) (1) (6) (6)19. 0.005 x 0.02 = .000120. 52.0023 / 4.00100 = 12.99732567or 1 x 10-312.9973Your Turn:21. 36.66 x .00404 = 22. 3.001 x 100 =23. 34.44 x 9.6 = 24. 6.223 x 101.010=25. 65900 / 45.22=26. 40000/ 1.0023=27. 0.0020130 / 1.32=28. 17 x 2.31=
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