Review of exponents

1
Review of exponents
2
10
exponent
base
10 10 100
2
103
102
10 10
100
101
10
10
100
3
103
102
10 10
100
101
10
10
100
10-1
0.1
10-2
0.01

4
Practice Using Your Calculator
Buttons
Enter 102
10X
E
EE
Possible Outputs
100
1E2
5
Practice Using Your Calculator
Buttons
Enter 10-2
10X
E
EE
Possible Outputs
.01
1E-2
6
Mr. Bernabo has 3
7
A measurement always has 2 things!!!!
2.031 m
Units of what
Magnitude How many
8
How tall am I?
guesses?
9
Metric / SI
Used by most of the world
meter, oC, gram
English
Used by the U.S.
foot, oF, pound
10
Whats the big deal about units?
It is important that we all are on the same page
How many foot lengths is the width of the room
The mars climate orbiter crashed into the planet
instead of orbiting due to 1 branch of NASA using
English units and the other Metric.
11
Some English Conversions
Area One township 36 sections or 23,040 acres
where an acre 160 square poles 100,000 square
gunter links 43,560 square feet 10 chains
where 1 chain 22 yards, but the engineers
chain 100 feet. Volume 1 barrel 42
gallons or 196 pounds or 55 gallons. But 1 gallon
4 quarts with 2 pints per quart or 4 cups.
Unless its the Queen Anne wine gallon, the milk
gallon, or the imperial gallon.However we have
62.4 pounds per cubic foot for water. Now then
there is the statute mile, the league, the
nautical mile, and the marine league. Sheeeeeshhh
. More
12
Some(more) English Conversions
Gasp! There is the liquid pint 28.875 cubic
inches, the liquid quart 128 drams 7680
minims. Ah, but 1 teaspoon 1 1/3 drams which is
238 scruples. So there is the Troy ounce, the
Avoidupois ounce and a pound of feathers is not
the same as a pound of gold.Oooh, we have the
short ton and the long ton. Do not get these
confused with the furlong or the fathom. Bushells
and pecks, palms and hands should have nothing to
do with carats. Watch out for the rod!! This is
just a start!!! And many Americans think we
should hang on to this!!
13
But there is an easier way!!!
14
Metric / SI
symbol
What its for
Unit
Length
Mass
Time
Temperature
Volume
15
Meter, m
JUST LISTEN
(About 3 feet, or a yard)
Has been defined many ways including the
distance between two scratches in platinum metal
bar while at the temperature of melting
ice. Currently defined as the distance traveled
by light in 1/299,792,458 seconds
16
gram, g
JUST LISTEN
(About the mass of a dollar bill)
The mass standard is of a kilogram (1000
g) which is defined as the mass of a certain
chunk of platinum and iridium. Official copies
are distributed and compared the the standard
about every 10 years.
17
JUST LISTEN
Second, s
(about 1 Mississippi)
Used to be defined by 1/86,400 of the mean solar
day, but the earths rotation is SLOWING.
(Yeah more time in the day) Currently defined
in terms of the time needed for a Cesium atom to
go from an excited state back to a ground state.
18
Liter, L
JUST LISTEN
about the volume of a cantaloupe or 1/2 a 2 L
bottle (duh)
19
JUST LISTEN
Celsius, oC
0oC --- water freezes 100oC --- water boils
20
These are the base units
m, g, s, oC, L
It is not too convenient to measure some things
with a base unit. It might be too big or
small. How many meters is your index finger.
21
Prefixes make a base unit bigger or smaller
centimeter
prefix
cm
1 cm is about 1/2 an inch much more appropriate
to estimate the length of your finger
22
Prefix
Symbol
Means
m
micro
10-6
m
milli
10-3
c
centi
10-2
d
deci
10-1
k
kilo
103
M
mega
106
KNOW these
23
m
micro
10-6
1 cm 10-2 m
milli
m
10-3
c
centi
10-2
since centi means 10-2 it can just be plugged in
d
deci
10-1
k
kilo
103
1dL ___ L
10-1
M
mega
106
Which is bigger? a dL or a L
24
m
micro
10-6
milli
m
10-3
c
centi
10-2
d
deci
10-1
What is a millisecond?
k
kilo
103
M
mega
106
25
m
micro
10-6
milli
m
10-3
c
centi
10-2
d
deci
10-1
What is a microliter?
k
kilo
103
M
mega
106
26
The long and short of Length
Meter
about a yard stick
km
little more than 1/2 a mile
dm
width of your hand
cm
about 1/2 inch, width of a finger
mm
about the thickness of a dime
mm
a hair is about 90 mm wide
27
Mass
gram
the mass of a dollar bill
mg
tear a bill into a thousand pieces
kg
a bit over 2 pounds or 1/2 a 2L of water
28
Liter
Liter
1/2 a 2 Liter bottle, cantaloupe
mL
about 15 drops, or a blueberry
29
Front Side of Metric WS due next class period
30
Metric Conversions
For many reasons in science class or the real
world you will need to be able to convert
between units.
In the metric system it is EZ. Just move the
decimal place
2.0
Hey, where are we going?
31
Convert
2.3 dL into L
or in other words
10-1
100
2.3 dL _______ L
1.) write the value of the prefix above both
units (If the unit has no prefix write 100
) 2.) Find the DIFFERNCE between the exponents
the number of times the decimal is moved 3.)
Which way to move it? Think (hint start with
a smaller unit, answer gets smaller)
32
Need to move the decimal 1 place (which
way) First which is the small and which is the
big?
10-1
100
.23
2.3 dL _______ L
33
Convert 13 m to cm
100
10-2
1,300
13 m _______ cm
34
103
10-3
560,000
.560 km _______ mm
Will I have more or less km?
MORE
35
10-1
10-6
25,000
.25 dm _______ mm
Will I have more or less mm?
MORE
36
6.3 103 L _______ mL
37
2.3 105 cm _______ m
38
1.4 10-3 ms _______ ds
39
7.5 10-7 dm _______ km
40
1.4 10-3 km _______ cm
DO THIS and the next one for hwk
41
1.4 107 mm _______ km