1. 6) 273000.0 = _______________________
Catalyst
A pattern exists in number Take a stab at solving #6 using the same pattern.
1) 3,450,000.0 = 3.45 x 106
2) 1,240,000,000.0 = 1.24 x 109
3) = 7.2 x 10-5
4) = 8.37 x 10-6
5) = 8.37 x 106
6) = _______________________

2. SCIENTIFIC NOTATION HW TONIGHT!
Announcements
SCIENTIFIC NOTATION HW TONIGHT!

3. Scientific Notation Practice Practice!
Today’s Agenda
Catalyst
Scientific Notation Practice
Practice!

4. SWBAT write numbers like a scientist.
Today’s Objectives
SWBAT write numbers like a scientist.
SWBAT multiply, divide, and square numbers expressed in scientific notation.

5. Problem
When scientists are talking about light wavelengths, they are usually discussing nanometers, which is 10-9 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.
Fun fact: 1 AU= distance from earth to moon.

6. Problem SCIENTIFIC NOTATION!!!!
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!!!!

7. Notes – Scientific Notation
a way of abbreviating very large or small numbers.
Exponent
3.03 x 106
3 Parts!
Number
Power of 10

8. Scientific Notation
Only 1 non-zero number to the left of the decimal point
3.03 x 106

9. 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!

10. 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) .

11. 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) .

12. Small Numbers  Scientific Notation
So how do we use that number 6???
2 6 .
x 10-6

13. Positive and Negative Exponents
If the number is BIG then the exponent is POSITIVE; if the number is small then the exponent is NEGATIVE.
Big = + exponent
Small = - exponent

14. Positive Exponent
5 6
Every time you move the decimal to the RIGHT, exponent DECREASES by 1.
x 103 . 2

15. Positive Exponent
5 6
x 10 . 1 2

16. Positive Exponent
5 6
x 10 . 1
Final answer: 5600

17. The speed of light is 300,000,000 meters per second!
Scientific Notation
The speed of light is 300,000,000 meters per second!
How do we write this in scientific notation?

18. The speed of light is 300,000,000 meters per second!
Scientific Notation
The speed of light is 300,000,000 meters per second!
How do we write this in scientific notation? 3.0 x 108

19. The size of a bacterium cell is 0.000055
Scientific Notation
The size of a bacterium cell is
How would you write its size in scientific notation?

20. Scientific Notation
5.5 x 10-5

21. Now that we have the basics, let’s learn how to multiply and divide scientific notation!

22. Multiplying Scientific Notation
Multiply the numbers
ADD the exponents
(7.50 x 105 ) * (6.1 x 103 ) = 46 x 108

23. Dividing in Scientific Notation
Divide the numbers
SUBTRACT the exponents
(7.50 x 103 ) / (6.1 x 105 ) = 1.2 x 10-2

24. Squaring in Scientific Notation
Square the numbers
MULTIPLY the exponents
(7.50 x 103 )2= 7.52 x 103x2 = x = 5.62 x 107

25. How Can You Do it Easily on Your Calculator?
1.) Begin by placing an open parentheses around your number
2.) To get a base at a power of 10, hit the 2nd button and then the , button. You should see an uppercase E show up on your screen. This is the equivalent to x10.
3.) After the E, type the power that the number is raised to
4.) Close the parentheses
5.) Use whichever operations (+, -, *, /, ^) that the problem requires.
6.) Repeat steps 1-4 for other number
7.) Hit enter to solve!