Summative 1.1, 1.2 Study Guide of Dimensional Analysis Algebra

Summative 1.1, 1.2 Study Guide Scientific Notation Convert to scientific notation or standard form. Keep the number of significant figures the same as the given number. 1. 3,456,320 __3.45632 x 106_______ 4. 4.563 x 10-4 ____0.0004563_________ 2. 0.0004322 ___4.322 x 10-4__________ 5. 3.40 x 101 _____34.0______________ 3. 102.0 _____1.020 x 102____________ 6. 7.8322 x 100 ______7.8322__________ 4. 20,100 _____2.01 x 104__________ 8. 2.41 x 105 _____241,000____________ Significant Figures Indicate the number of significant figures, and then round each to the number of significant figures specified. Ex. 1.234 has 4 significant figures and, rounded to 2 significant figures, is 1.2 9. 0.089 has 2 significant figures and, rounded to 1 significant figure, is 0.09 10. 10,700 has 3 significant figures and, rounded to 2 significant figures, is 11,000 11. 12,700.00 has 7 significant figures and, rounded to 1 significant figure, is 10,000 12. 0.0009880 has 4 significant figures and, rounded to 2 significant figures, is 0.00099 13. 201,000 has __3__ significant figures and, rounded to 2 significant figures, is _2.0 x 105__ Rounding Report the unrounded answer in the first blank, and then round the final answer correctly in the second blank. Unrounded Answer Ex. 134.8 + 27.67 = 162.47 Rounded (Final) Answer 162.5 14. 206.5 + 4.002 = _210.502___ ____210.5_____ 15. 6.341 + 102.0 = ___208.341_____ ____108.3______ 16. 8.001 – 6.7 = ___1.301_____ ____1.3________ 17. 3696.10 – 34.0010 = ____3662.099__ _____3662.10____ 18. 1.41 x 22.10 = ___31.161____ ___31.2________ 19. 3696.10 x 4.0010 = ___14788.0961_ _____14788_____ 20. 0.68 x 2.45  5.912 = __0.28179973__ _____0.28______ 21. 2.1 x 354.98  4.775 = _156.116859___ _____160_______ 22. 0.03325 x 1.99992 = ___0.06649734__ _____0.6650______ Dimensional Analysis Unit Conversions Use dimensional analysis to convert the following. Show all work, units, and round your answer correctly. _____3.4 x 108____ pg 23. 340 µg = 340 µg x 29. 7250 mm = 1 g x 1012 pg = 3.4 x 108 pg 106 µg 1g 24. 98 cm = ___39____ in 30. 9700 nL = ___2600___ g 31. 0.3001 m = 176 mg = 0.3001 m x 10 = 0.0003001 km 1m ___1.76 x 108__ ng 32. 25 mg ___800_ in. 33. 20 m x 102 cm x 1 in = 787.40157 in 1 m 2.54 cm __2.5_ cg 1,560 m = _0.970_ mi 1560 m x 10-3 km x 1 mi = 0.969546 1m 1.609 km ___1.0x103____ mi/hr 28. 450 m/s = = 25 mg x 1 g x 102 cg = 2.5 cg 10 3 mg 1 g 176 ng x 1 g x 109 ng = 176000000 ng 103mg 1g 27. 20 m = ___3.001 x 10 -4__ km -3 93 oz x 28.3495 g = 2636.5035 1 oz 26. __9.7_ µL 9700nL x 1L x 106 nL = 9.7 µL 104 nL 1L 98cm x 1in = 38.582677 in 2.54cm 25. 93 oz. = __725_ cm 7250 mm x 1 m x 102 cm = 10 3 mm 1 m 34. -3 5.70 g/mL = ___5.70x109____ µg/L 6 5.70 g x 10 ug x 103mL = 5.70x109 µg/L mL 1g 1L 450 m x 10 km x 1 mi x 60 s x 60 min = S 1 m 1.609km 1min 1hr Perform the following unit conversions using dimensional analysis. Show all work, units, and round your answer. 35. How many kilograms are in 175 lbs? 175 lbs x 1 kg = 79.5 kg 2.2lbs 36. How many seconds are in 2 days? 2 days x 24 hrs x 60 min x 60 sec = 100000 sec 1day 1 hr 1min 37. You are looking into hotels in Japan. The hotel you are looking into costs 38821 yen per night. How much would this cost in American dollars? ($1 = 102.70 ¥). 38821 yen x 1 dollar = $378.00 102.70yen 35. Change 40 miles/hour into meters/second. 40 miles 1.609 km 1000 m 1 hr 1 min hr 1 mi 1 km 60 min 60 sec 17.87 → 20 m/sec