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by. Richard J. Terwilliger. Factor Labeling. who. Who turned off the lights?. Factor Labeling. Factor Labeling. Factor Labeling. Factor Labeling. Factor Labeling. Factor Labeling. Factor Labeling. Thanks, that sure is bright!. Factor Labeling. Factor Labeling. Factor Labeling. - PowerPoint PPT Presentation
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Who turned off the lights?
who
Thanks, that sure is bright!
Let’s review the
method
Using the
we’ll determine the number of kilometers in 1 mile
To do this we need toknow some basic
conversions.
1 mile = 5280 feet1 foot = 12 inches
1 inch = 2.54 centimeters
1 meter = 100 centimeters
1 kilometer = 1000 meters
You should learn these common conversions.
1 mile = 5280 feet1 foot = 12 inches
1 inch = 2.54 centimeters
1 meter = 100 centimeters
1 kilometer = 1000 meters
To start the conversion from miles to kilometers we draw a set of brackets.
1 mile = 5280 feet1 foot = 12 inches
1 inch = 2.54 centimeters
1 meter = 100 centimeters
1 kilometer = 1000 meters
Then draw a horizontal linethat divides the brackets,
top to bottom.
1 mile = 5280 feet1 foot = 12 inches
1 inch = 2.54 centimeters
1 meter = 100 centimeters
1 kilometer = 1000 meters
Again, we are converting 1 mile into kilometers so we’ll place 1 mile
above the line.
1 mi.
1 mile = 5280 feet1 foot = 12 inches
1 inch = 2.54 centimeters
1 meter = 100 centimeters
1 kilometer = 1000 meters
There’s no denominator so we’ll leave the bottom
blank.
1 mi.Leave this
blank
Leave this
blank
1 mile = 5280 feet1 foot = 12 inches
1 inch = 2.54 centimeters
1 meter = 100 centimeters
1 kilometer = 1000 meters
1 mi.
We need to convert miles into feet,feet into inches, inches into centimeters, centimeters into meters and finally meters into kilometers.
1 mile = 5280 feet1 foot = 12 inches
1 inch = 2.54 centimeters
1 meter = 100 centimeters
1 kilometer = 1000 meters
Let’s get started and convert the miles into feet!
1 mi.
1 mile = 5280 feet1 foot = 12 inches
1 inch = 2.54 centimeters
1 meter = 100 centimeters
1 kilometer = 1000 meters
Draw another set of brackets with a horizontal line next
to the first set.
1 mi.
1 mile = 5280 feet1 foot = 12 inches
1 inch = 2.54 centimeters
1 meter = 100 centimeters
1 kilometer = 1000 meters
We’re going to match units in the numerator with units in the denominator.
Place miles in the bottom of the second set of brackets. This matches the miles
already on the top in the first set of brackets.
1 mi.mi.
1 mile = 5280 feet1 foot = 12 inches
1 inch = 2.54 centimeters
1 meter = 100 centimeters
1 kilometer = 1000 meters
We will change miles into feet so place feet directly above miles
1 mi.mi.ft.
1 mile = 5280 feet1 foot = 12 inches
1 inch = 2.54 centimeters
1 meter = 100 centimeters
1 kilometer = 1000 meters
There’s 5280 feet in 1 mile.
To fill in the conversion, place5280 next to feet and
1 next to miles.
1 mi. 52801 mi.
ft.
1 mile = 5280 feet1 foot = 12 inches
1 inch = 2.54 centimeters
1 meter = 100 centimeters
1 kilometer = 1000 meters
1 mile = 5280 feet
As you can see, the miles on the top of the first set of brackets matches
with the miles in the bottom of the second set of brackets.
1 mi.mi.ft.5280
1
mi.
mi.
1 mile = 5280 feet1 foot = 12 inches
1 inch = 2.54 centimeters
1 meter = 100 centimeters
1 kilometer = 1000 meters
1 mi.mi.ft.5280
1
mi.
mi.
reduces to one
so we have changed to feet.
mi.mi.mi.
1 mile = 5280 feet1 foot = 12 inches
1 inch = 2.54 centimeters
1 meter = 100 centimeters
1 kilometer = 1000 meters
1 mi.mi.ft.5280
1
mi.
mi.
The same process will be used to change feet into inches!
Watch closely as it’s done.
1 mile = 5280 feet1 foot = 12 inches
1 inch = 2.54 centimeters
1 meter = 100 centimeters
1 kilometer = 1000 meters
1 mi.mi.ft.5280
1
mi.
mi.
Draw a set of brackets and then
the horizontal line.
1 mile = 5280 feet1 foot = 12 inches
1 inch = 2.54 centimeters
1 meter = 100 centimeters
1 kilometer = 1000 meters
1 mi.mi.ft.5280
1
mi.
mi.
Match units top to bottom.
ft.
1 mile = 5280 feet1 foot = 12 inches
1 inch = 2.54 centimeters
1 meter = 100 centimeters
1 kilometer = 1000 meters
1 mi.mi.ft.5280
1
mi.
mi.
Place in the conversion units.
(What are we converting to? In this case feet into inches.)
ft.
in.
1 mile = 5280 feet1 foot = 12 inches
1 inch = 2.54 centimeters
1 meter = 100 centimeters
1 kilometer = 1000 meters
1 mi.mi.ft.5280
1
mi.
mi.
Fill in the conversion numbers.
ft.
in.12
1
1 mile = 5280 feet1 foot = 12 inches
1 inch = 2.54 centimeters
1 meter = 100 centimeters
1 kilometer = 1000 meters
1 foot = 12 inches
1 mi.mi.ft.5280
1
mi.
mi.
Cross out the units that reduce.
ft.
in.12
1
1 mile = 5280 feet1 foot = 12 inches
1 inch = 2.54 centimeters
1 meter = 100 centimeters
1 kilometer = 1000 meters
1 mi.mi.ft.5280
1
mi.
mi. ft.
in.12
1
Again reduces to
leaving inches.
ft.ft.
ft.
ft.
1 mile = 5280 feet1 foot = 12 inches
1 inch = 2.54 centimeters
1 meter = 100 centimeters
1 kilometer = 1000 meters
1 mi.mi.ft.5280
1
mi.
mi. ft.
in.12
1
ft.
ft.
The next step is to convert inches into centimeters.
1 mile = 5280 feet1 foot = 12 inches
1 inch = 2.54 centimeters
1 meter = 100 centimeters
1 kilometer = 1000 meters
1 mi.mi.ft.5280
1
mi.
mi. ft.
in.12
1
ft.
ft.
Follow the steps as I demonstrate!.
in.
cm.
in.
in. 2.541
1 mile = 5280 feet1 foot = 12 inches
1 inch = 2.54 centimeters
1 meter = 100 centimeters
1 kilometer = 1000 meters
1 inch = 2.54 centimeters
1 mi.mi.ft.5280
1
mi.
mi. ft.
in.12
1
ft.
ft.
Now convert centimeters into meters.
in.
cm.
in.
in. 2.541
1 mile = 5280 feet1 foot = 12 inches
1 inch = 2.54 centimeters
1 meter = 100 centimeters
1 kilometer = 1000 meters
cm.m.1
100 cm.
cm.
1 meter = 100 centimeters
1 mi.mi.ft.5280
1
mi.
mi. ft.
in.12
1
ft.
ft.
The final step, converting meters into kilometers.
in.
cm.
in.
in. 2.541
1 mile = 5280 feet1 foot = 12 inches
1 inch = 2.54 centimeters
1 meter = 100 centimeters
1 kilometer = 1000 meters
cm.m.1
100 cm.
cm.
m.
km.11000 m.
m.
1 kilometer = 1000 meters
1 mi.mi.ft.5280
1
mi.
mi. ft.
in.12
1
ft.
ft.
Our units are now in kilometers!
in.
cm.
in.
in. 2.541
1 mile = 5280 feet1 foot = 12 inches
1 inch = 2.54 centimeters
1 meter = 100 centimeters
1 kilometer = 1000 meters
cm.m.1
100 cm.
cm.
m.
km.11000 m.
m.
1 mi.mi.ft.5280
1
mi.
mi. ft.
in.12
1
ft.
ft.
To finish up we multiply all of the numbers
on the top.
(1 x 5280 x 12 x 2.54 x 1 x 1)
in.
cm.
in.
in. 2.541
1 mile = 5280 feet1 foot = 12 inches
1 inch = 2.54 centimeters
1 meter = 100 centimeters
1 kilometer = 1000 meters
cm.m.1
100 cm.
cm.
m.
km.11000 m.
m.
=160934
1 mi.mi.ft.5280
1
mi.
mi. ft.
in.12
1
ft.
ft.
Multiply all of the numbers on the bottom
and then divide.
(1 x 1 x 1 x 100 x 1000 )
in.
cm.
in.
in. 2.541
1 mile = 5280 feet1 foot = 12 inches
1 inch = 2.54 centimeters
1 meter = 100 centimeters
1 kilometer = 1000 meters
cm.m.1
100 cm.
cm.
m.
km.11000 m.
m.
=160934
100000
= 1.61 km.
1 mi.mi.ft.5280
1
mi.
mi. ft.
in.12
1
ft.
ft. in.
cm.
in.
in. 2.541
1 mile = 5280 feet1 foot = 12 inches
1 inch = 2.54 centimeters
1 meter = 100 centimeters
1 kilometer = 1000 meters
cm.m.1
100 cm.
cm.
m.
km.11000 m.
m.
=160934
100000
= 1.61 km.
Ready to do a more complicated conversion?
1 mile = 5280 feet1 foot = 12 inches
1 inch = 2.54 centimeters
1 meter = 100 centimeters
1 kilometer = 1000 meters
OK,Lets convert
70 kilometers/hour to
meters/second?
1 mile = 5280 feet1 foot = 12 inches
1 inch = 2.54 centimeters
1 meter = 100 centimeters
1 kilometer = 1000 meters
We start the conversion the same way as before. Draw a set of
brackets and a horizontal line.
1 mile = 5280 feet1 foot = 12 inches
1 inch = 2.54 centimeters
1 meter = 100 centimeters
1 kilometer = 1000 meters
70
Next, fill in the 70 kilometers per hour.
1 mile = 5280 feet1 foot = 12 inches
1 inch = 2.54 centimeters
1 meter = 100 centimeters
1 kilometer = 1000 meters
km.hr.
Kilometers on the top,hours on the bottom.
For right now ignore the hours and convert kilometers to meters.
1 mile = 5280 feet1 foot = 12 inches
1 inch = 2.54 centimeters
1 meter = 100 centimeters
1 kilometer = 1000 meters
70 km.hr.
To change km to m, draw another set of brackets
with the horizontal line.
1 mile = 5280 feet1 foot = 12 inches
1 inch = 2.54 centimeters
1 meter = 100 centimeters
1 kilometer = 1000 meters
70 km.hr.
Fill in your units… km on the bottom to
match the km on the top .
1 mile = 5280 feet1 foot = 12 inches
1 inch = 2.54 centimeters
1 meter = 100 centimeters
1 kilometer = 1000 meters
70 km.hr. km.
And then meters on the top.
1 mile = 5280 feet1 foot = 12 inches
1 inch = 2.54 centimeters
1 meter = 100 centimeters
1 kilometer = 1000 meters
70 km.hr. km.
m.
There are 1000 meters in1 kilometer.
1 mile = 5280 feet1 foot = 12 inches
1 inch = 2.54 centimeters
1 meter = 100 centimeters
1 kilometer = 1000 meters
70 km.hr. km.
m.
1 kilometer = 1000 meters
1000
1
1 mile = 5280 feet1 foot = 12 inches
1 inch = 2.54 centimeters
1 meter = 100 centimeters
1 kilometer = 1000 meters
70 km.hr. km.
m.1000
1
The reduce and drop out. km.
km.
We now have meters per hour
and have to change hours into seconds.
1 mile = 5280 feet1 foot = 12 inches
1 inch = 2.54 centimeters
1 meter = 100 centimeters
1 kilometer = 1000 meters
70 km.hr. km.
m.1000
1
Another bracket set and
horizontal line.
1 mile = 5280 feet1 foot = 12 inches
1 inch = 2.54 centimeters
1 meter = 100 centimeters
1 kilometer = 1000 meters
70 km.hr. km.
m.1000
1
Place hours on top andminutes on the bottom.
1 mile = 5280 feet1 foot = 12 inches
1 inch = 2.54 centimeters
1 meter = 100 centimeters
1 kilometer = 1000 meters
70 km.hr. km.
m.1000
1
hr.
min.
There are 60 minutes in 1 hour!
1 mile = 5280 feet1 foot = 12 inches
1 inch = 2.54 centimeters
1 meter = 100 centimeters
1 kilometer = 1000 meters
70 km.hr. km.
m.1000
1
hr.
min.60
1
The hours reduce to oneand drop out.
1 mile = 5280 feet1 foot = 12 inches
1 inch = 2.54 centimeters
1 meter = 100 centimeters
1 kilometer = 1000 meters
70 km.hr. km.
m.1000
1
hr.
min.60
1
Now, convert
minutes into seconds!
1 mile = 5280 feet1 foot = 12 inches
1 inch = 2.54 centimeters
1 meter = 100 centimeters
1 kilometer = 1000 meters
70 km.hr. km.
m.1000
1
hr.
min.60
1
By now you should have the hang of it so,
watch me do it!
1 mile = 5280 feet1 foot = 12 inches
1 inch = 2.54 centimeters
1 meter = 100 centimeters
1 kilometer = 1000 meters
70 km.hr. km.
m.1000
1
hr.
min.60
1 min.1
60 sec.
We now have meters on the top and
seconds on the bottom!
1 mile = 5280 feet1 foot = 12 inches
1 inch = 2.54 centimeters
1 meter = 100 centimeters
1 kilometer = 1000 meters
70 km.hr. km.
m.1000
1
hr.
min.60
1 min.1
60 sec.
All that is left is to...
1 mile = 5280 feet1 foot = 12 inches
1 inch = 2.54 centimeters
1 meter = 100 centimeters
1 kilometer = 1000 meters
70 km.hr. km.
m.1000
1
hr.
min.60
1 min.1
60 sec.
Multiply the top,
1 mile = 5280 feet1 foot = 12 inches
1 inch = 2.54 centimeters
1 meter = 100 centimeters
1 kilometer = 1000 meters
70 km.hr. km.
m.1000
1
hr.
min.60
1 min.1
60 sec.
Multiply the bottom,
And then divide the bottom into the top
70000 m.
sec.360019.4
m.
sec.
1 mile = 5280 feet1 foot = 12 inches
1 inch = 2.54 centimeters
1 meter = 100 centimeters
1 kilometer = 1000 meters
70 km.hr. km.
m.1000
1
hr.
min.60
1 min.1
60 sec.
70000 m.
sec.360019.4
m.
sec.
Now let’s do a real
tough one!,
1 mile = 5280 feet1 foot = 12 inches
1 inch = 2.54 centimeters
1 meter = 100 centimeters
1 kilometer = 1000 meters
How about changing
1 mile = 5280 feet1 foot = 12 inches
1 inch = 2.54 centimeters
1 meter = 100 centimeters
1 kilometer = 1000 meters
2m
cm
sec
2
3
2
3min
We’re going to solve thisexactly the same way as the
other examples and for now we’llIGNORE the exponents.
1 mile = 5280 feet1 foot = 12 inches
1 inch = 2.54 centimeters
1 meter = 100 centimeters
1 kilometer = 1000 meters
2 m
min
2
3
First change meters into centimeters.
1 mile = 5280 feet1 foot = 12 inches
1 inch = 2.54 centimeters
1 meter = 100 centimeters
1 kilometer = 1000 meters
2 m
min
2
3 m
cm
1
100
Notice the SPACE
I left after the units and between the numbers
and the units!
1 mile = 5280 feet1 foot = 12 inches
1 inch = 2.54 centimeters
1 meter = 100 centimeters
1 kilometer = 1000 meters
2 m
min
2
3 m
cm
1
100
SPACE
SPACE
SPACE
SPACE
This SPACE is going to be used for the exponents.
1 mile = 5280 feet1 foot = 12 inches
1 inch = 2.54 centimeters
1 meter = 100 centimeters
1 kilometer = 1000 meters
2 m
min
2
3 m
cm
1
100
Since the meters is squared in the first set of brackets, we will square the meters
in the second set.
1 mile = 5280 feet1 foot = 12 inches
1 inch = 2.54 centimeters
1 meter = 100 centimeters
1 kilometer = 1000 meters
2 m
min
2
3 m
cm
1
100
2
Now, If we square the meters,
we MUST square everything else!
1 mile = 5280 feet1 foot = 12 inches
1 inch = 2.54 centimeters
1 meter = 100 centimeters
1 kilometer = 1000 meters
2 m
min
2
3 m
cm
1
100
2
2
2
2
1 mile = 5280 feet1 foot = 12 inches
1 inch = 2.54 centimeters
1 meter = 100 centimeters
1 kilometer = 1000 meters
2 m
min
2
3 m
cm
1
100
2
2
2
2
We’ll do the same thing again
changing
into3
min3
sec
sec
min
60
1
1 mile = 5280 feet1 foot = 12 inches
1 inch = 2.54 centimeters
1 meter = 100 centimeters
1 kilometer = 1000 meters
2 m
min
2
3 m
cm
1
100
2
2
2
2
Remember to leave SPACE
for theexponents!
sec
min
60
1
1 mile = 5280 feet1 foot = 12 inches
1 inch = 2.54 centimeters
1 meter = 100 centimeters
1 kilometer = 1000 meters
2 m
min
2
3 m
cm
1
100
2
2
2
2
We’re changing from minutes cubed
so everything in the third bracket
is cubed
sec
min
60
13
3
3
3
1 mile = 5280 feet1 foot = 12 inches
1 inch = 2.54 centimeters
1 meter = 100 centimeters
1 kilometer = 1000 meters
2 m
min
2
3 m
cm
1
100
2
2
2
2
Lets REDUCE
sec
min
60
13
3
3
3
1 mile = 5280 feet1 foot = 12 inches
1 inch = 2.54 centimeters
1 meter = 100 centimeters
1 kilometer = 1000 meters
2 m
min
2
3 m
cm
1
100
2
2
2
2
And we’re left with….
sec
min
60
13
3
3
3m
cm
1
100
2
2
2
2
cm
sec
2
3
1 mile = 5280 feet1 foot = 12 inches
1 inch = 2.54 centimeters
1 meter = 100 centimeters
1 kilometer = 1000 meters
2 m
min
2
3 m
cm
1
100
2
2
2
2
To finish up, multiply the top and divide by the bottom!
sec
min
60
13
3
3
3m
cm
1
100
2
2
2
2
1 mile = 5280 feet1 foot = 12 inches
1 inch = 2.54 centimeters
1 meter = 100 centimeters
1 kilometer = 1000 meters
2 m
min
2
3 m
cm
1
100
2
2
2
2
2 x 1002
603
sec
min
60
13
3
3
3m
cm
1
100
2
2
2
2.09 cm
sec
2
3
1 mile = 5280 feet1 foot = 12 inches
1 inch = 2.54 centimeters
1 meter = 100 centimeters
1 kilometer = 1000 meters
2 m
min
2
3 m
cm
1
100
2
2
2
2
Now, wasn’t that easy!
sec
min
60
13
3
3
3m
cm
1
100
2
2
2
2.09 cm
sec
2
3
Hey, Who turned out the lights?