Section 5-1: The U.S. Customary System of Measurement

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1 Section -: The U.S. Customary System of Measurement Identify a reasonable U.S. customary measure for the following: mi Cough syrup, oz; woman, lb; elephant, T; speed limit sign, ; photograph, in.; entry door, ft; hr carpet, yd; milk, qt; paint, gal; flour, c Convert 3 gal to pt using unity ratios. 3 gal 4 qt 2 pt = 24 pt gal qt Multiply by unity ratios that change gal to qt and qt to pt. Cancel like units of measure. Convert 3 4 ft to in. using a unity ratio. 3 ft = ft 3 3 ft 2 in. = 3 in. 4 ft Multiply by a unity ratio to change ft to in. Cancel like units of measure. Reduce numerator and denominator that have a common factor. Convert 0 qt to gal using unity ratios. 0 qt gal gal = = 2 4 qt 4 qt 2 2 gal Multiply by a unity ratio to change qt to gal. Cancel like units of measure. Reduce numerator and denominator that have a common factor. Learning Outcome 3 Convert 48 in. to yd using a conversion factor. yd = 36 in. yd 36 in. yd in. = yd in. = conversion factor 48 in =.3 yd (rounded)

2 Learning Outcome 4 4 yd 8 ft = 6yd 2 ft Standard notation 8 ft = 2 yd 2 ft (8 ft 3 ft = 2 yd 2 ft) Section -2: Adding and Subtracting U.S. Customary Measures Add 2 qt and 6 oz. 2 qt 32 oz = 64 oz Convert qt to oz. qt 64 oz + 6 oz = 70 oz Add like measures. Subtract 2 yd 2 ft from 4 yd. 3 yd 3 ft -2 yd 2 ft yd ft Rewrite 4 yd as 3 yd 3 ft. Subtract like measures. Section -3: Multiplying and Dividing U.S. Customary Measures Multiply 2 lb 7 oz by 3. 2 lb 7 oz x 3 6 lb 2 oz = 7 lb oz Multiply each measure by 3. Write product in standard notation. 2 oz = lb oz. Multiply 4 ft by 3 ft. 4 ft x 3 ft = 2ft 2 The product is square measure.

3 Learning Outcome 3 Divide gal 3 qt by 3. gal ) qt 3 gal 3 qt 3 gal = 8 qt 2 gal qt qt 2 qt Divide 3 into gal. gal x divisor 3 = 3. Subtract 3 gal from gal. Convert gallons to quarts. Add 3 qt + 8 qt = qt. qt divisor 3 = 3 qt. 3 qt x divisor 3 = qt. qt qt = 2 qt. Write the remainder as a fraction, 3. Learning Outcome 4 How many 8-oz glasses of milk can be poured from gallon of milk? 4 qt 2 pt 2 c 8 oz gal gal qt pt c 2 3 gal 8 oz 28 oz 8 oz = 6 8-oz glasses, to represent 2 qt divisor Learning Outcome The speed limit in a school zone is 20 miles per hour. This is the same as how many feet per second? 20 mi 280 ft 280 hr, hr min mi ft 60 min 60 sec =, = 80 sec 3 Section -4: Introduction to the Metric System 2.3 ft sec Identify a reasonable metric measure for the following: Nasal spray, ml; root beer, L; distance between cities, km; relay race, m; aspirin, mg; sack of corn, kg; sugar cube, g. Convert 3.6 m to centimeters. To change to a smaller unit, move decimal to the right the number of places the new unit is from the original unit on the chart. 3.6 m = 360 cm On the chart, cm is two places to right of m. Convert 3,87 L to kiloliters. To change to a larger unit, move decimal to the left the number of places the new unit is from the original unit on the chart. 3,87 L = 3.87 kl On the chart, kl three places to the left of L.

4 Learning Outcome 3 cm + 4 dm Change to a common unit of measure and add. cm + 40 cm = 4 cm 4 dm = 40 cm. or 0. dm + 4 dm = 4. dm cm = 0. dm. 2.6 cm x 3 = 37.8 cm Multiply and keep the unit of measure. 32 km km Divide. The units of measure cancel. 32 km 70 4 km =. Section -: Metric-U.S. Customary Comparisons How many inches are in 24 cm? 24 cm in. = 4. in. 24. cm Use conversion relationship in. = 2.4 cm. Other relationships can be used. How many kilometers are in 3.6 mi? 36. mi 6. km =. 76 km mi Section -6: Time How many hours are in days? days 24 hr = 20 hr day Use conversion relationship mi =.6 km. Other relationships can be used. It takes a laser engraver min 2 sec to engrave a certain logo. How long will it take to engrave 2 logos? min 2 sec min 300 sec 300 sec min = min 60 sec 2 min + min = 30 min

5 Learning Outcome 3 If it is p.m. in Salt Lake City Utah ( 7 GMT), what time is it in Charleston, South Carolina ( GMT)? ( 7) = + 7 = +2 two hours later p.m. + 2 hr = 7 p.m. Section -7: Reading Instruments Used to Measure Length How many significant digits are in the numbers 280,300 and 0.003? 280,300 has 4 significant digits has 3 significant digits. What is the precision and greatest possible error of a measurement of The precision is in. Learning Outcome in.? 6 The greatest possible error is one-half the precision or 2 Ł6 ł = 32 in. Learning Outcome 4 Learning Outcome Find the midpoint and distance between the points 2.7 cm and 8.2 cm. Distance: =. cm Midpoint: = = cm

6 Section -8: Temperature Formulas Use the formula K=ºC to change 2ºC to K. K = ºC Substitute 2 in place of ºC. K = Simplify. K = 28 Use the formula ºC = K 273 to change 42 K to ºC. ºC = K 273 Substitue 42 in place of K. ºC = K 273 Simplify. ºC = 2 Lesson Outcome 2 Use the formula R = F to change 72 F to R. R = F Substitute 72 in place of F. R = Simplify. R = 32 Use the formula F = R 460 to change 82 R to F. F = R 460 Substitute 82 in place of R. F = Simplify. F = 278 Lesson Outcome 3 Use the formula C = ( F 32) to find the Celsius temperature for degrees Fahrenheit. C = ( F 32) Substitute for F. C = ( 32) Simplify grouping. Perform multiplication. C = (63) C = 3

7 Lesson Outcome 4 Use the formula F = C + 32 to determine the number of Fahrenheit degrees in 0 degrees Celsius. F = C + 32 Substitute known value for equivalent unknown letter. F = (0) + 32 Perform order of operations (multiply first). F = Simplify. F = 32