Catalyst – January (62-(2*5), 2010 Describe the pattern you see in the first 4.
After, fill in the 5th and 6th answers. HOMEWORK OUT PLEASE!
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!UNIT TEST ON FRIDAY!
Today’s Objectives
SWBAT write numbers like a scientist/G.
SWBAT convert units like it’s hot…because that’s what Gs do.
Front Door
Projector2nd Period
Group 3
Annquinette, J’Nae, Josh T.,
Kayla
Group 2
Jeremiah, Montronquie,
LaRatio, Sedric
Group 1
Chris, Johneisha,
Rodneisha K., Keiara
Group 6
Tierra, Tracy, Tyler, Brandi
Group 4
Akiya, Johnika, Howard,
JacobGroup 9
Group 8
Ashley, Marlon, Durand, Agelica
Group 7
Josh D., Taylor,
Lashannia, [Johnathan]
Group 5
Quincy, Angel,
Rodneisha O., Heidi
Front Door
Projector4th Period
Group 3
Celeste, Hannah, Treshon,
Darneisha
Group 2
Brittney, Jarion,
Jemeca, Kendall
Group 1
Mankisha, Desmond, Wilbert, Taylor
Group 6
Tatiyaan, Katie,
Holloway, Cornell
Group 4
Deston, Selena, Quoc,
Thuy
Group 9
Brhea, Martha, Kevin
Group 8
Kenisha, Jamal,
Jeanette
Group 7
Raven, Chasity, Frank
Group 5
Haley, Adam, Arthur,
Stephen
Front Door
Projector5th Period
Group 3
Chyna, Qiana, Ida,
Dominique
Group 2
Gina, Breonne, Granville,
Tyler
Group 1
J’Don, Felix, Desman,
Erica
Group 6
Timberly, Jesse,
Breionna, Nathan
Group 4
Aujuan, Stephon, Jasmine,
Mikell
Group 9 Group 8
Mason, Brianna,
DeJonel Paul
Group 7
Rikki, Justin, Mario,
Chassidy
Group 5
Natosha, James,
De’Jonel, Jandolyn
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
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.
If only there was a way to fix this…SCIENTIFIC NOTATION!
!!!
Notes – Scientific Notation
Key Point #1 : Scientific notation is a way of abbreviating very large or very small numbers.
3.03 x 106
3 Parts!
Number Power of 10
Exponent
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 106
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 NotationLet’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
0 0 0 0 0x 107
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???
.0 0 0 0 0 0
2 6
x 10-6
Positive and Negative ExponentsKey Point #3: If the
number is BIG then the
exponent is POSITIVE; if the number is small then the exponent is
NEGATIVE.
Positive Exponent
5 6x 1032.
Every time you move the decimal to the RIGHT, exponent DECREASES by 1.
Positive Exponent
5 6 x 102. 10
Positive Exponent
5 6 x 1010. 0 0
Final answer: 5600
Negative Exponent
3 8. -10x 10
Final answer: 0.38
Every time you move the decimal to the LEFT, exponent INCREASES by 1.
Scientific Notation
2250000
Scientific Notation
2.250000
2.25 x 106
Scientific Notation
10 300 000 000
Scientific Notation
1.0300000000
1.03 x 1010
Scientific Notation
0.000055
Scientific Notation
00005.5
5.5 x 10-5
Scientific Notation
9870000
0.00000987
Scientific Notation
9870000 9.87 x 106
0.00000987 9.87 x 10-6
Scientific Notation
8.1 x 103
9.4 x 10-2
Scientific Notation
8.1 x 103 8100
9.4 x 10-2 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 to what?
Step 2: Write 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 daL100 cL = 1 L
Practice!
The average human eye blink is 300 milliseconds. Convert this to hectoseconds.
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.
