Transcript I`ve never had a lab like this… Scientific Notation - stroh

Catalyst
January 7(5-3),
2011 HW OUT!
Check out the
‘graph’ to the
right.
Determine who the
“Biggest Rapper Alive”
is and back up with at
least 2 reasons (must
be from graph!).
Today’s Agenda
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
Catalyst
Go over yesterday’s Exit Question/HW
Scientific Notation Quick! Practice
Intro to Dimensional Analysis
Work Time
Group of the Week and Exit Question
Book HW: Chapter 2 Assessment (p 50-51)
Answer Qs 52-54, 58-59, 75-76, 79, 80a-e
EXTRA CREDIT: Complete Page 53
Today’s Objectives
SWBAT write numbers like a
scientist/G.
 SWBAT convert units like it’s hot
using dimensional
analysis…because that’s what Gs
do.

Analyze
1 of the 12 Testing Power Words!

Example: Analyze the experimental
data to formulate a conclusion. Analyze
how the author uses personification.
 Break
down
 Figure out
 Scrutinize
 Interpret
Exit Question
Describe the accuracy
(A) and precision (P)
of 1 & 2.
What prefix/unit
would you use to
measure the
volume of cold
drink in a can?
What prefix/unit
would you use to
measure the
length of your
pinky?
Problem
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
When scientists are talking about light
wavelengths, they are usually discussing
nanometers, which is 10-9 meters or
0.00000001 meters.
When scientists are talking about distances in
space, they are usually discussing
astronomical units (AU). 1 AU is 93,000,000
miles.
Problem

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I don’t know about you, but I ain’t about to write all
them zeros.
SCIENTIFIC
If only there was a way to fix this…
NOTATION!!!!
Notes – Scientific Notation
Key Point #1 : Scientific notation is a
way of abbreviating very large or
very small numbers.
Exponent
3.03 x
Number
6
10
3 Parts!
Power of 10
Scientific Notation
Key Point #2: A number in correct scientific
notation has only one non-zero number to
the left of the decimal.
3.03 x
6
10
Big Numbers  Scientific Notation
Let’s get rid of them zeroes at the end!
 To do this, move the decimal point to the
LEFT (to the left)
3 2 4 0 0 0 0 0.
Big Numbers  Scientific Notation
How many times do we move the decimal
to the LEFT (to the left)?
3 2 4 0 0 0 0 0.
Big Numbers  Scientific Notation
…the decimal moves SEVEN times
to the LEFT.
3.2 4 0 0 0 0 0
Big Numbers  Scientific Notation
So, how do we use that number 7???
3.2 4 x
0
7
10
00
00
Small Numbers  Scientific Notation
Let’s get rid of them zeroes at the front!
 To do this, move the decimal point to the
RIGHT (to the right)
0. 0 0 0 0 0 2 6
Small Numbers  Scientific Notation
How many times did we move the decimal
to the RIGHT (to the right)?
0. 0 0 0 0 0 2 6
Small Numbers  Scientific Notation
…the decimal moves SIX times to the
RIGHT (to the right).
0 0 0 0 0 0 2. 6
Small Numbers  Scientific Notation
So how do we use that number 6???
-6
10
x 0 0 0 2. 6
000
Positive and Negative Exponents

Key Point #3: If the number is BIG
then the exponent is
POSITIVE;
if the number is small then the
exponent is NEGATIVE.
Scientific Notation
2250000
Scientific Notation
2250000
2.25 x
6
10
Scientific Notation
10 300 000 000
Scientific Notation
10 300 000 000
1.03 x
10
10
Scientific Notation
0.000055
Scientific Notation
0.000055
5.5 x
-5
10
Scientific Notation
9870000
0.00000987
Scientific Notation
9870000
0.00000987
9.87 x
6
10
9.87 x
-6
10
Scientific Notation
8.1 x
3
10
9.4 x
-2
10
Scientific Notation
8.1 x
3
10
8100
9.4 x
-2
10
0.094
CONVERSIONS

GET READY FOR AWESOME!
Convert it like it’s hot

Key Point #3: A conversion factor
shows the same value with two
different units.
 YOU
ALREADY KNOW THIS STUFF!
 Examples:
 10
dimes= 1 dollar
 20 nickels= 1 dollar
 4 quarters= 1 dollar
Dimensional Analysis

Key Point #4: Dimensional
analysis is a tool used to
convert from one unit to another.
Working on the Railroad

Step 1:
What

Step 2:
Write

to what?
conversion factor(s)
Step 3:
Train
tracks
Practice! One-step problems.
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
How many meters are in 10
centimeters?
How many centimeters are in 327
meters?
Practice! On your own!

The distance from
New Orleans to
Miami is 1387
kilometers (862
miles). Convert
1387 kilometers
to meters!
Exit Question

In July 2008, it was estimated that the
world’s population is about 6,707,000,000.
The United States’ population was estimated
to be 304,060,000. The coldest temperature
ever created by man is 0.000000005 Kelvin.
Write the 3 bolded numbers in scientific
notation.
Book HW: Chapter 2 Assessment (p 50-51)
Answer Qs 52-54, 58-59, 75-76, 79, 80a-e
EXTRA CREDIT: Complete Page 53