Convert Unit Rates

Not in notes You and your friends want to have a movie marathon. All three movies last a total of 390 min. How many hours will it take to watch all three movies? = 6.5 min How do we get the unit to change to hours? We need to use dimensional analysis.

Dimensional analysis - Not in notes Dimensional analysis - Process using unit ratios (conversion factors) to convert between units. Unit Ratio (conversion factors)- A ratio where the numerator and denominator are equivalent measurements. Conversion factors and dimensional analysis make comparing different units much easier. These conversions are necessary in many calculations in your physical science and chemistry classes.

Fill in the Missing Numbers 12 1 ft = ____ in 1 m = ____ cm 1 lb = ____ oz 1 min = ____ sec 1 hr = ____ min 1 day = ___ hrs 1 yr = ____ mo 1 yr = ___ wks 1 km =_____ m 1 mi = _____ yd 1 yd = ___ ft 1 cm = ___ mm 1 gal = ____ qt 1 qt = ___ pt 1 pt = ___ c 1 wk = ___days 1000 100 1760 16 3 60 10 60 4 24 2 12 2 What is the purpose of knowing these facts? Give me some examples. 52 7 1 c = _____ fl oz 1 L = ______ mL 1 T = _____ lb 1 yr = ____ mo 1 kg = ____ g 1 g = ____ mg 16 1000 2000 12 1000 1000

X 6.5 hrs X Dimensional analysis process Unit you have Not in notes Dimensional analysis process Unit you have X Conversion factor = Unit you want Remember : we can cancel with multiplying fractions we can do the same with units. 1 1 You and your friends want to have a movie marathon. All three movies last a total of 390 min. How many hours will it take to watch all three movies? X 6.5 hrs

Convert Units by dimensional analysis EX 1) Jeff is 72 in. tall. How tall is Jeff in ft.? Step 1: Write your ratio in fraction form. = Step 2: Choose your conversion factor that will cancel one unit and keep the wanted unit. EX 2) Martha needs to know how many inches in 8 yards of fabric. Step 3: Simplify and multiply. X =

EX 3) A copier copied 4080 sheets per hour. How many sheets were copied in 1 minute? = =

How many minutes in a year? Answer

525,600 min.

notes

Date ________ Convert Unit Rates

Fill in the Missing Numbers 1 ft = ____ in 1 m = ____ cm 1 lb = ____ oz 1 min = ____ sec 1 hr = ____ min 1 day = ___ hrs 1 yr = ____ mo 1 yr = ___ wks 1 km =_____ m 1 mi = _____ yd 1 yd = ___ ft 1 cm = ___ mm 1 gal = ____ qt 1 qt = ___ pt 1 pt = ___ c 1 wk = ___days What is the purpose of knowing these facts? Give me some examples. 1 c = _____ fl oz 1 L = ______ mL 1 T = _____ lb 1 yr = ____ mo 1 kg = ____ g 1 g = ____ mg

Convert Units by dimensional analysis EX 1) Jeff is ___ in. tall. How tall is Jeff in ft.? Step 1: Write your ratio in ________ ____. Step 2: Choose your __________ ______ that will cancel one unit and keep the wanted unit. EX 2) Martha needs to know how many inches in ___ yards of fabric. Step 3:

EX 3) A copier copied ____ sheets per hour. How many sheets were copied in 1 minute?