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Name ____________________Period _______KEY____________ Significant Figures- Hauck, Ligon Answer the questions below based on the tables in the groups provided. These are your models for this activity. In this document, “SF” stands for Significant Figures. Group 1 Number 7 3.2 6.54 855 # of SF 1 2 3 3 Critical Thinking Questions 1. Engage in a group discussion that tries to determine what pattern or rules exist between the Numbers and # of SF listed in Group 1 and write that rule below… 2. How many SF’s would be in the following numbers? a. 95 _2_ b. 7.56 _3__ c. 45256 _5_ Group 2 Number 305 3005 6.05 6.005 9.05006 9.50006 # of SF 3 4 3 4 6 6 3. Engage in a group discussion that tries to determine what pattern or rules exist between the Numbers and # of SF listed in Group 2 and write that rule below… The number of real numbers in a number = the number of SF including captured zeros. 4. How many SF’s would be in the following numbers? a. 35 _2__ b. 706 _3__ c. 35.06 __4_ d. 60.701 __5_ Group 4 Group 3 Number 30 300 3000 # of SF 1 1 1 Number 30. 300. 3000. Group 5 # of SF 2 3 4 Number 1.0 35.0 35.00 10.0 300.00 # of SF 2 3 4 3 5 5. Engage in a group discussion that tries to determine what pattern or rules exist between the Numbers and # of SF listed in Groups 3, 4 & 5 and write that rule below… Trailing or ending zeros are significant only if a decimal is present. 6. How many SF’s would be in the following numbers? a. 722 _3_ b. 702.05 _5__ c. 50 _1__ d. 50. _2__ e. 500 _1__ f. 700 _1__ g. 7.700 __4_ Group 7 Group 6 Number 0.1 0.020 0.00213 0.0303 # of SF 1 2 3 3 Number 1 x 10-1 2.0 x 10-2 2.13 x 10-3 3.03 x 10-2 1.20 x 10-4 2.060 x 1010 2.060 x 10-10 # of SF 1 2 3 3 3 4 4 7. Engage in a group discussion that tries to determine what pattern or rules exist between the Numbers and # of SF listed in Groups 6 & 7 and write that rule below… Powers of 10 and Leading zeros are not significant. 8. How many SF’s would be in the following numbers? a. 0.01 _1__ b. 0.0023 _2__ -4 c. 23.6 x 10 __3_ d. 23.0 x 10-4 _3__ e. 1.234 x 103 __4_ 9. Now, condense all of the rules that you’ve written above into the shortest, most condensed list as possible that still applies to every group listed above. These rules must be grammatically correct. All real numbers, captured zeros are significant. Only trailing zeros are significant if decimal present. Leading zeros are not significant. Now, go to the board as directed by the instructor and add your rules to the appropriate section. After the class discussion and editing session, write the final SF rules on your note card. Exercises Complete the following table: Number How many digits in the number are SF List the Group (1-7) that you used to answer the # of SF in the number 2.307 4 ___ 70000. 5 4 5.230 _4__ 5 271.2 ___ __1_ 1.750 x 10-3 4 7 0.006980 4 6 5000 _1__ 3 How many zeros are significant? 1 4 1 0 1 1 0 Exercises Complete the following table: # of Do the number of SF match the Number SF example to the left (circle Yes or No) Write the correct SF below 4 8.020 3 Yes…No No 0.23060 5 Yes…No Yes 5.670 x 1010 3 Yes…No No 4 5000.00 5 Yes…No No 6 250.00 3 Yes…No No 5 6.7200 x 10-4 7 Yes…No No 5 Problems 1. Do you think that there should be a standard number of decimal places reported in answers to problems? Yes 2. How would this benefit/harm science as a whole? Standardizing procedures enable scientists to compare similar information consistently. 3. Discuss this as a group and explain. Use grammatically correct sentences.