1. Convert Unit Rates

2. 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.

3. 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.

4. Fill in the Missing Numbers12
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

5. 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

6. 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 =

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

8. How many minutes in a year?
Answer

9. 525,600 min.

10. notes

11. Date ________
Convert Unit Rates

12. 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

13. 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:

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