1. Bell Ringer 90
4-2
3x-3y2

2. Scientific Notation
Mr. Haupt
CC B.1

4. Why all the big numbers?!?!?!
Speed of light = 299,792,458 meters per second
Distance from sun to earth = 92,960,000 miles
1 light year = 6,000,000,000 miles
Mass of the sun = 1,989,000,000,000,000,000,000,000,000,000 kg

5. How can we shorten this up?
Scientific Notation
The crazy idea that we don’t have to write huge numbers out over and over.
We turn the number into decimals with only one number to the left of the decimal, and the rest of your significant figures to the right.
Then we multiply that decimal by 10 to whatever power it would take to move the decimal to where it belongs in the original number.

6. For example
Mass of the sun = 1,989,000,000,000,000,000,000,000,000,000 kg
Take the significant figures 1989 and make it a decimal.
1.989
Then figure out how many decimal places you moved to get the decimal from its original spot.
In this case, it is 30.
So my answer is x 1030

7. Positive and Negative Exponents
If the original number is a decimal then the power on the ten will be negative.
If the original number is a whole number, the ten will have a positive power.
For example:
= 4.56 x 10-9
234,000,000 = 2.34 x 108

8. Turn it back
What if we have the scientific notation and want to change it to its original form?
Write out the significant figures, and then move the decimal as many places, in whatever direction, the ten power tells you.
For example:
7.56 x x 10-8

9. Multiplying Scientific Notation
Multiply the numbers given but ignore the tens and their powers for the moment.
Add the powers on the tens.
Adjust the answer if necessary.
For eexample:
(4.12 x 103)(3.51 x 104) (2.89 x 10-2)(3.02 x 10-5)