Catalyst – January (6 2 -(2*5), 2010  Describe the pattern you see in the first 5. After, fill in the 6 th answer. 1) 3,450,000.= 3.45 x ) 1,240,000,000.= 1.24 x ) = 7.2 x ) = 8.37 x ) = 8.37 x ) = _________________________

Today’s Agenda  Catalyst  Scientific Notation Practice  Intro to Dimensional Analysis  Practice!  Exit Question

Today’s Objectives  SWBAT write numbers like a scientist/G.  SWBAT convert units like a scientist/G.

Problem  When scientists are talking about light wavelengths, they are usually discussing nanometers, which is meters or 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 x Parts! NumberPower 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 x 10 6

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)

Big Numbers  Scientific Notation How many times do we move the decimal to the LEFT (to the left)?

Big Numbers  Scientific Notation …the decimal moves SEVEN times to the LEFT

Big Numbers  Scientific Notation So, how do we use that number 7??? x 10 7

Big Numbers  Scientific Notation How many times do we move the decimal to the LEFT (to the left)?

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)

Small Numbers  Scientific Notation How many times did we move the decimal to the RIGHT (to the right)?

Small Numbers  Scientific Notation …the decimal moves SIX times to the RIGHT (to the right)

Small Numbers  Scientific Notation So how do we use that number 6??? x 10 -6

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 5 6 x Every time you move the decimal to the RIGHT, exponent DECREASES by 1.

Positive Exponent 5 6 x

Positive Exponent 5 6 x Final answer: 5600

Negative Exponent x 10 Final answer: 0.38 Every time you move the decimal to the LEFT, exponent INCREASES by 1.

Scientific Notation

Scientific Notation x 10 6

Scientific Notation

Scientific Notation x 10 10

Scientific Notation

Scientific Notation x 10 -5

Scientific Notation Think of a number-line: Adding/taking 0’s on right is + Adding/taking 0’s on left is -

Scientific Notation

Scientific Notation x x 10 -6

Scientific Notation 8.1 x x 10 -2

Scientific Notation 8.1 x x

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 Denver is 2258 kilometers. Convert this 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  Temperature: degrees Celsius

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 liters (cL).  10 L = 1 daL

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 °K. Write these 3 numbers in scientific notation.