Catalyst – August (62-5), 2010HOMEWORK OUT PLEASE! Describe the pattern/trend 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!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.

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!

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.