Name: ____________________________ Period: ________ Date: ________________________ How many significant figures are in each of the following? 1) 620 __2_____ 2) .00489 __3_____ 4) 52.0 _____3__ 3) 8500.1 ___5____ 5) 1000 __1_____ 6) 730.730 ___6___ 7) 5000.0 ____5___ 8) 0.0780 __3_____ 9) 108 ___3____ 10) 7.5 x 10-5 __2____ 11) 1001 __4_____ 12) 500,000 __1_____ 13) 5.40 ____3___ 14) 210 ___2____ 15) 0.00120 ___3____ Convert the following numbers into scientific notation: Convert the following numbers into standard notation: 16) 3,400 ___________3.4 x 103________________ 24) 2.30 x 104 _________23000______________ 17) 0.000023 _________2.3 x 10-5_______________ 25) 1.76 x 10-3 ________0.00176________________ 18) 101,000 _________1.01 x 105_______________ 26) 1.901 x 10-7 ______0.0000001901__________ 19) 0.010 __________1.0 x 10-2____________ 27) 8.65 x 10-1 _____0.865____________ 20) 45.01 ____________4.501 x 101_________ 28) 9.11 x 103 _______9110_____________ 21) 1,000,000 ___________1 x 106___________ 29) 5.40 x 101 ________54.0______________ 22) 0.00671 ___________7.71 x 10-3______________ 30) 1.76 x 102 ________176_____________ 23) 42.50 __________4.250 x 101_________ 31) 7.4 x 10-5 ________0.000074_________ Perform the following operations: 31) 4.7 x 105 x 3.4 x 10-2 = ________16000______ 32) 7.00 x 10-3 + 5.7 x 10-3 = ____1.3 x 10-2_______ 33) 2.09 x 104 ÷ 3.64 x 10-6 = _____5.74 x 109______ 34) 1.76 x 106 ÷ 2.35 x 109 = ______7.49 x 10-4______ Round the following numbers to three significant digits: 35) 245,763 __246,000__ 38) 70.0035 __70.0__ 37) 0.000024 _2.40 x 10-5__ 36) 1 __1.00___ 39) 1,566,311 _1.57 x 106_ 40) 0.0011672 __1.17 x 10-3___ Round the following numbers to two significant digits: 41) 148.6 ____150___ 42) 6,246,300 _6.2 x 106____ 43) 0.001 __1.0 x 10-3___ 44) 404 ___4.0 x 102____ 45) 500 __5.0 x 102___ 46) 3,000,000 __3.0 x 106___ * Perform the operation. Don’t forget to round to the appropriate number of significant figures!! 47) 6.201 cm + 7.4 cm + 0.68 cm + 12.0 cm = 26.3 48) 8.264 g - 7.8 g = 0.5 49) 10.4168 m - 6.0 m = 4.4 50) 12.00 m + 15.001 kg = 27.00 51) 131 cm x 2.3 cm = 3.0 x 102 52) 5.7621 m x 6.201 m = 035.731 53) 20.2 cm / 7.41 s = 2.73 54) 40.002 g / 13.000005 mL = 3.0771 55) 17 + 42.76 + 4.2 = 64 56) 425.77 x 1.3 = 550 Convert the following measurements: 1) 34 mm = _3.4__ cm 2) 3 km = __3000_ m 3) 234 cm = __2.34__ m 4) 35 m = _35,000_ mm 5) 16 mg = _0.016_ g 6) 4.7 kg = __4700_ g 7) 12,345 g = _12.345_ kg 8) 2 g = _2000_ mg 9) 160 mL = _0.16__ L Write the correct abbreviation for each metric unit: 10) Kilogram __kg___ 11) Microgram _µg____ 12) Nanometer __nm___ 13) Meter __m___ 14) Decameter __Dm___ 15) Centimeter __cm___ 16) Gram __g___ 17) Liter __L___ 18) Milligram ___mg__ 19) 2000 mg = _2__ g 20) 5 L = __5000_ mL 21) 16 cm = __160__ mm 22) 104 km = _104,000_ m 23) 198 g = __0.198__ kg 24) 2500 m = _2.5 x 109_ µm 25) 480 cm = _4.8__ m 26) 75 mL = _0.075_ L 27) 65 g = _65000_ mg 28) 5.6 kg = _5.6 x 1012_ ng 29) 50 cm = _0.5_ m 30) 6.3 cm = _6.3 x 1010_ pm 31) 8 mm = _0.8_ cm 32) 5.6 m = _560_ cm 33) 120 mg = _0.12_ g 34) 63 cm _<__ 6 m 35) 5 g _>__ 508 mg 36) 1,500 mL _=__ 1.5 L 37) 536 cm _=__ 53.6 dm 38) 43 mg __<_ 5 g 39) 3.6 m _>__ 36 cm CONVERT: Compare using <, >, or =: Convert the following metric measurements: 40) 1450 mg = __1.45__ g 41) 1.8 L = __1800__ mL 42) 165 cm = _1.65 x 109_ nm 43) 1.4 km = __1400__ m 44) 19 g = __0.019__ kg 45) 57.6 m = __0.0576_ km 46) 4.58 Tm = ________ m 47) 8.78 µg = __8.78 x 10-6___ g 48) 5.67 kL = __5.67 x 105_ cL Use these conversion factors : (Remember sig dig rules) 1 foot = 0.3048 meters 16 ounces = 1 pound 1 mile = 5280 feet 1 quart = 0.9463 liters 49) Convert 26.4 ft to m: 50) Convert 0.0489 lb to g: 51) Convert 16 years to days: 52) How many feet are in 3.2 miles? 53) Change 550 grams to pounds: 1 gram = 0.002205 pounds 24 hours = 1 day Convert the following measurements: 1) 34 mm = _3.4__ cm 2) 3 km = __3000_ m 3) 234 cm = __2.34__ m 4) 35 m = _35,000_ mm 5) 16 mg = _0.016_ g 6) 4.7 kg = __4700_ g 7) 12,345 g = _12.345_ kg 8) 2 g = _2000_ mg 9) 160 mL = _0.16__ L Write the correct abbreviation for each metric unit: 10) Kilogram __kg___ 11) Microgram _µg____ 12) Nanometer __nm___ 13) Meter __m___ 14) Decameter __Dm___ 15) Centimeter __cm___ 16) Gram __g___ 17) Liter __L___ 18) Milligram ___mg__ 19) 2000 mg = _2__ g 20) 5 L = __5000_ mL 21) 16 cm = __160__ mm 22) 104 km = _104,000_ m 23) 198 g = __0.198__ kg 24) 2500 m = _2.5 x 109_ µm 25) 480 cm = _4.8__ m 26) 75 mL = _0.075_ L 27) 65 g = _65000_ mg 28) 5.6 kg = _5.6 x 1012_ ng 29) 50 cm = _0.5_ m 30) 6.3 cm = _6.3 x 1010_ pm 31) 8 mm = _0.8_ cm 32) 5.6 m = _560_ cm 33) 120 mg = _0.12_ g 34) 63 cm _<__ 6 m 35) 5 g _>__ 508 mg 36) 1,500 mL _=__ 1.5 L 37) 536 cm _=__ 53.6 dm 38) 43 mg __<_ 5 g 39) 3.6 m _>__ 36 cm CONVERT: Compare using <, >, or =: Convert the following metric measurements: 40) 1450 mg = __1.45__ g 41) 1.8 L = __1800__ mL 42) 165 cm = _1.65 x 109_ nm 43) 1.4 km = __1400__ m 44) 19 g = __0.019__ kg 45) 57.6 m = __0.0576_ km 46) 4.58 Tm = ________ m 47) 8.78 µg = __8.78 x 10-6___ g 48) 5.67 kL = __5.67 x 105_ cL Use these conversion factors : (Remember sig dig rules) 1 foot = 0.3048 meters 16 ounces = 1 pound 1 mile = 5280 feet 1 quart = 0.9463 liters 1 gram = 0.002205 pounds 24 hours = 1 day 49) Convert 26.4 ft to m: 8.05 m 50) Convert 0.0489 lb to g: 22.2 g 51) Convert 16 years to days: 5800 days 52) How many feet are in 3.2 miles? 17000 ft 53) Change 550 grams to pounds: 1.2 lbs 54) Convert 1.7 mL to qts: 0.0018 qt 55) Change 2.6 km/day to miles/week: 11 miles/week 56) Change 60 yds/ hours to inches/ seconds: 0.6 in/sec 57) Imagine that water is leaking from a container, at a rate of 1.2 mL/hour. If this rate does not change, how many liters of water will be lost in a week? 0.20 L/week