1. What is it, why do we need it and how do we do it.
Scientific Notation
What is it, why do we need it and how do we do it.

2. Scientific Notation How long would it take to count to one million?
How many atoms are in one cup of water?
What is the mass of the earth in grams?
What is the rest mass of a single electron?
2.4 x 1025

3. 23 days. Scientific Notation
It might not seem like it but a million is a big number but small when compared to other much larger numbers in science.
2.4 x 1025

4. Scientific Notation
24,000,000,000,000,000,000,000,000
One glass of water has that many atoms in it. That is more atoms than there are cups of water in all the oceans.
2.4 x 1025

5. Scientific Notation
sextillion septillion quintillion quadrillion trillion billion million thousand hundred
24,000,000,000,000,000,000,000,000
One glass of water has that many atoms in it. That is more atoms than there are cups of water in all the oceans.
2.4 x 1025

6. Scientific Notation
6,000,000,000,000,000,000,000,000,000g
The mass of the earth!
2.4 x 1025

7. Scientific Notation The rest mass of a single electron!kg
2.4 x 1025

8. Which number is easier to use?
Scientific Notation
Which number is easier to use?
kg or 9.11x10-31kg
24,000,000,000,000,000,000,000,000g or 2.4 x1025
6,000,000,000,000,000,000,000,000,000g or 6 x10^27
2.4 x 1025

9. Chemistry and Physics
Calculating the force of gravity the sun exerts on the earth.
Newton’s Law of Universal Gravitation… Coulomb’s law, frequency of light…
Multiplication and Division are easier!

10. An abbreviation for very large and very small numbers in science.
Scientific Notation
An abbreviation for very large and very small numbers in science.

11. Assignment 1a) Identify five objects smaller than the eye can see.
1b) Briefly Describe what the object is.
1c) Express its size in scientific and standard notation.
2a) Find five objects bigger than the sun.
2b) Briefly Describe what the object is.
2c) Express its size in scientific and standard notation.
3) Is the sun a large object on astronomical scales?
4) What is scientific notation and why do we use it?
Assignment
Newton’s Law of Universal Gravitation… Coulomb’s law, frequency of light…
Click the Picture of a Link, if that is Down Click Here.

12. Order of Magnitude: Using the scale of the universe app, what order of magnitude do the following objects have in meters? Express them in scientific notation and include a fact about them.
A Human Being
Total Human Height
Diameter of Golf Ball
Titanic
Sirius A
Length of Pencil
Boeing 747
Kuiper Belt
Thickness of Paper
Hummingbird
Gomez’s Hamburger
Mitochondrion
Glucose
The Number of Golf balls that could fit:
A Blue Whale
Tarantula Nebula
Angel Falls
Andromeda Galaxy
On a school bus.
In a suitcase
Tyrannosaurus Rex
A Light Year
String
In our classroom
Up Quark
ESTIMATE
In a bathtub
Water Molecule
Height of School
BINGO! Guess How Many Jelly Beans are in the Jar and Win it!
Mount Everest
Telephone Pole
Ant
Length of CT
Ganymede
Distance of US
Proxima Centauri
Length of Mall
Observable Universe
Height of Holy Land

13. An abbreviation for very large and very small numbers in science.
Scientific Notation
An abbreviation for very large and very small numbers in science.

14. Some number written in the form A x 10B
one non-zero number to the left of a decimal point.
Move decimals left or right and count the spaces.
Moving Left = positive exponent (big numbers)
Moving right = negative exponent (small numbers)
100
1000
24,000
365,445 2
225
0.001
Where is the decimal?
Where do I want it?
How far did I move it?
Negative or Positive?

15. Scientific to Standard Notation
3x102
2.345x109
3.03 x 108
2.1x10-2
9x10-4
4.34x10-8
When you have a positive exponent move the decimal to the right that many places.
When you have a negative exponent move the decimal to the left that many places.

16. Assignment Convert to Scientific Notation Convert to Standard Notation
1234
1,020,000
18,300
54,234,012
4 million
1/10
12 thousandth
2.345x109
3.03 x 108
2.1x10-6
9x10-31
Convert to Scientific Notation
Convert to Standard Notation

17. Multiplying Scientific Notation
Rule 1
Example

18. Multiplying Scientific Notation
Rule 1
Example
Multiply the leading numbers and add the exponents!

19. Multiplying Scientific Notation
(3x108) x (6x101) =
(2.5x108) x (3x101) =
Multiply the leading numbers and add the exponents!

20. Dividing Scientific Notation
Rule 2
Example

21. Dividing Scientific Notation
Rule 2
Example
Divide the leading numbers and subtract the exponents!

22. Dividing Scientific Notation
(8x108)
(3x104)
(4x101) =
(6x107) =
Divide the leading numbers and subtract the exponents!

23. Adding and Subtracting Scientific Notation
(2x102) + (4x101) =
(2.5x104) + (4.4x103) =
Convert to same power.
Keep the exponent.
Add the leading numbers

24. Adding and Subtracting
Assignment
(4.45x109) x (3.43x100) =
(2.5x105) x (3x106) =
(4x1013) x (3x102) =
(2x104) x (3.5x102) =
(2.5x104) - (4.4x103) =
(2x102) - (4x101) =
(3.6x105) + (4x106) =
Multiplying
Multiply the Leading numbers
Add the Exponents
Dividing
Divide the Leading numbers
Subtract the Exponents
(9x106)
(3x104)
(4x104)
(8x106) = =
Adding and Subtracting
Convert to same power.
Keep the exponent.
Add the leading numbers
(9.34x106)
(3.85x104)
(12x106)
(3x107) = =

25. (9x106) (3x104) (9.34x106) (3.85x104) (4x104) (8x106) (12x106) (3x107)