X Unit 1 & 2 Measurement Homework & Handouts Name: _____________________________________ Period:________ Homework #1: Taking Measurements & Determining Increments Determine the increment of the measuring device as well as the length or volume of each example (the black line above the rulers on the right or the meniscus in the graduated cylinders on the left). 1. Increment : __________________ _ Measurement: _________________ 5. Increment : __________________ Measurement: ________________ 2. Increment : ___________________ Measurement: _________________ 6. Increment : __________________ Measurement: ________________ 3. Increment : __________________ __ Measurement: __________________ 4. Increment : __________________ __ Measurement: __________________ 7. Increment : __________________ Measurement: ________________ 3 Homework #2 SIGNIFICANT FIGURES & ROUNDING Directions: Indicate the number of significant figures then round to the number of sig. figs. indicated. For example: 1.234 has ___4__ significant figures and, rounded to 2 significant figures, is __1.2____ 1. 0.6034 has ______ significant figures and, rounded to 2 significant figures, is ________ 2. 12,700 has ______ significant figures and, rounded to 2 significant figures, is ________ 3. 12,700.00 has ______ significant figures and, rounded to 1 significant figures, is ________ 4. 0.000983 has ______ significant figures and, rounded to 2 significant figures, is ________ 5. 123342.9 has ______ significant figures and, rounded to 5 significant figures, is ________ 6. 6.023 x 1023 has ______ significant figures and, rounded to 2 significant figures, is ________ 7. .005600 has ______ significant figures and, rounded to 1 significant figures, is ________ 8. 10000.5006 has ______ significant figures and, rounded to 5 significant figures, is ________ 9. 2.0 x 10-3 has ______ significant figures and, rounded to 1 significant figures, is ________ 10. 3.456110 has ______ significant figures and, rounded to 3 significant figures, is ________ Directions: Given the answer, write the answer with the appropriate number of significant figures. Example: 6.00 x 3.00 = 18 The answer should be ______18.0_____ 1. 23 + 46 = 69 The answer should be _______________ 2. 23.0 + 46.0 = 69 The answer should be _______________ 3. 56 – 35 = 21 The answer should be _______________ 4. 56.00 – 35.0 = 21 The answer should be _______________ 5. .024 x .063 = 1.512 x 10-3 The answer should be _______________ 6. 3.24 x 5.63 = 18.2412 The answer should be _______________ 7 654 32 = 20.4375 The answer should be _______________ 8 (2.355 + 2.645) x 10.00 = 50 The answer should be _______________ 4 Homework #3 (pgs. 5-9) Continue to next page 5 Continue to next page 6 Continue to next page 7 Continue to next page 8 9 Homework #4: Metric Conversions kilo hecto Deka k 103 h 102 D (da) 101 Base Unit m L g deci centi milli d 10-1 c 10-2 m 10-3 Write the correct abbreviation for each metric unit. 1) kilogram ________ 2) milliliter ________ 3) kilometer ________ 4) meter ________ 5) millimeter ________ 6) centimeter ________ 7) gram ________ 8) liter ________ 9) milligram ________ Try these conversions, using the method we discussed in class (moving the decimal place). 10) 2000 mg = ____________ g 14) 16 cm = ____________ mm 11) 104 km = ____________ m 15) 165 mm = ____________ Dm 12) 1.3 hL = ____________ L 16) 0.97 kg = ____________ hg 13) 530 m = ____________ mm 17) 0.0145 kL = ____________ L Compare these two values using <, >, or =. You will have to match the units on the two values in order to compare them accurately. 18) 63 cm 19) 536 cm 6m 53.6 dm 20) 1,500 mL 21) 43 mg 1.5 L 5g 10 Homework #5: Dimensional Analysis Make the following conversions using dimensional analysis. 1) Convert 16.7 inches to feet 2) Convert 2,465,876 inches to kilometers (there are 2.54 centimeters in one inch) 3) Convert 48, 987 minutes to days 4) Convert 4.75 centimeters to meters 5) Convert 27 months to fortnights (there are 14 days in a fortnight and ~30 days in a month) 6) Convert 4.66 centimeters to miles (there are 0.6 miles in a kilometer) 7) Convert 0.09 miles to inches (there are 36 inches in a yard and 1760 yards in a mile) 11 Homework #6: Dimensional Analysis Practice Conversions: 1 hour = 60 minutes 1 mile = 5,280 feet 1 km = 0.62 miles 1 quart = 0.946 liters 1 minute = 60 seconds 60 minutes = 1 hour 1 yard = 3 feet 1 kg = 2.2 lbs. 1 foot = 12 inches 365 days = 1 year 1 meter = 3.28 feet 1 lb = 0.45 kg 1 inch = 2.54 cm = 25.4 mm Convert the following quantities using the conversion factors above and dimensional analysis. 1) 565,900 seconds into days 2) 17 years into minutes 3) 43 miles into feet 4) 165 pounds into kilograms 5) 100 yards into meters 6) 22,647 inches into miles 7) 2678 cm into feet 8) 60 miles into yards 9) 125 miles/hour to feet/second