Transcript I`ve never had a lab like this… Scientific Notation Workshop/Workday

Catalyst

HOMEWORK OUT, PLEASE!
In complete sentences, describe the pattern you see in
the first 4. After, fill in the 5th and 6th answers.
1) 3,450,000.0 = 3.45 x 106
2) 1,240,000,000.0 = 1.24 x 109
3) 0.00000837 = 8.37 x 10-6
4) 8370000.0 = 8.37 x 106
5) 0.000072 = _______________________
6) 273000.0 = _______________________
Today’s Agenda
Catalyst
 Go over yesterday’s Exit Question/HW
 Scientific Notation Practice
 Intro to Dimensional Analysis
 Practice!
 Exit Question

SCIENTIFIC NOTATION HW!
QUIZ TOMORROW!
UNIT TEST ON TUESDAY!
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?
Accuracy and Precision


William measures the mass
of five different blocks on
a triple-beam balance. His
results are in the table to
the right.
Block
Actual Mass of
Block (g)
Measured Mass
of Block (g)
1
56
49
2
67
50
Are his measurements
precise?
3
89
53
(Are they close to one
another?)
4
102
64
Are his measurements
accurate?
5
49
51



(Are they close to the true
values?)
HW
2.
What is conversion between
centimeters and meters?

3.
What is the conversion between
milliliters and liters?

4.
1 meter = 100 centimeters
1 liter = 1000 milliliters
What is the conversion between
grams and dekagrams?

10 dekagram = 1 gram
5.
What is the conversion between
decigrams and grams?
 1 gram = 10 decigrams
6.
What is the conversion between
nanograms and grams?

1,000,000,000 nanograms = 1
gram
7. What is the conversion between
liters and gigaliters?
 1,000,000,000 Liters = 1
gigaliter
8. What is the conversion between
meters and hectometers?
 100 hectometers = 1 meter
9. What is the conversion between
centigrams and grams?
 100 centigrams = 1 gram
10. What is the conversion between
megaliters and liters?
 1,000,000 liters = 1 megaliter
The Power of Pesewas

1 Pesewa – Raffle Ticket
(Put your name on the back and
place it in your class’s jar)




5 Pesewas – Point on a test
10 Pesewas – College Pencil
15 Pesewas – Homework Pass
75 Pesewas – Lunch with Ms. Sanacore
(She buys it, too!)

400 Pesewas – Pie Ms. Sanacore in the face
Today’s Objectives
SWBAT write numbers like a
scientist/G.
SWBAT convert units like it’s
hot…because that’s what Gs
do.

Problem


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


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
How to write numbers in scientific notation
Move it to the left or move it to the right
Add your exponent
Then it’s aaaaaalright!
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
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.
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.
Positive Exponent
Every time you move the decimal to the RIGHT,
exponent DECREASES by 1.
5. 6 x
2
3
10
Positive Exponent
5 6. 0
x 10
1
2
Positive Exponent
5 6 0. 0 x 10
Final answer: 5600
0
1
Negative Exponent
Every time you move the decimal to the LEFT,
exponent INCREASES by 1.
0
-1
3 .8 x 10
Final answer: 0.38
Scientific Notation
2250000
Scientific Notation
2.250000
2.25 x
6
10
Scientific Notation
10 300 000 000
Scientific Notation
1.0300000000
1.03 x
10
10
Scientific Notation
0.000055
Scientific Notation
00005.5
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 #1: 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 #2: 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.


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!
Always remember…

Key Point #3: In two step
problems, always convert to the
unit without a prefix first.
Mass:
grams
Distance: meters
Volume: liters
Practice…


Chris Paul has a mass of 79.4 kg,
convert this to mg.
*Bonus: If a standard basketball has a
mass of 620, 000 mg, how many
basketballs would equal the mass of
Chris Paul?
Practice
There are 1135 decaliters (daL)
in a pool. Convert to centiliters
(cL).
 10 L = 1 daL
 100 cL = 1 L

Practice!
The average human eye
blink is 300
milliseconds. Convert
this to hectoseconds.

Independent Practice
1. What to what?
2. Conversion Factors
3. Train Tracks! Choo choo!
DO IT TO IT!
We CAN; therefore, we WILL.
“Practice as if you are the worst.
Perform as if you are the best.”
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°K.
Write these 3 numbers in scientific
notation.