Transcript I`ve never had a lab like this… Scientific - teacherstroh

Catalyst – Septiembre
2
(6-2 ),
2009
Describe the pattern you see in the first 5. After, fill in the 6th answer.
1) 3,450,000.= 3.45 x 106

2) 1,240,000,000.= 1.24 x 1010
3) 0.000072 = 7.2 x 10-5
4) 0.00000837 = 8.37 x 10-6
5) 8370000.= 8.37 x 106
6) 273000. = _________________________
Today’s Agenda
Catalyst
 Scientific Notation Notes
 Practice
 Special Message
 Project Work Time
 Exit Question

Today’s Objectives

SWBAT write numbers like a scientist.

I’ve never had a lab like this…
 Scientific
Notation Workshop/Workday
Problem


When scientists are talking about light, 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


Since you are all young scientists, there is a
problem. I don’t know about you, but I ain’t about
to write all them zeros.
SCIENTIFIC
NOTATION!!!!
If only there was a way to fix this…
Notes – Scientific Notation
Key Point #1 : Scientific notation is a way of
abbreviating very large or very small
numbers.
Exponent
3.03 x
Number
6
10
3 Parts!
Power of 10
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
6
10
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)
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 x
0
7
10
00
00
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
And that’s why we get…
3.24 x
7
10
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???
10-6
x 0 0 0 2. 6
000
Scientific Notation
2250000
Scientific Notation
2.250000
2.25 x
6
10
Scientific Notation
10300000000
Scientific Notation
1.0300000000
1.03 x
10
10
Scientific Notation
0.000055
Scientific Notation
00005.5
5.5 x
-5
10
Big Number in Scientific Notation =
Positive Exponent
Every time you move the decimal to the RIGHT,
exponent DECREASES by 1.
5. 6 x
2
3
10
Big Number in Scientific Notation =
Positive Exponent
5 6. 0
x 10
1
2
Big Number in Scientific Notation =
Positive Exponent
5 6 0. 0 x 10
Final answer: 5600
0
1
Small Number in Scientific Notation =
Negative Exponent
Every time you move the decimal to the LEFT,
exponent INCREASES by 1.
0
-1
3 .8 x 10
Final answer: 0.38
Scientific Notation
9.87 x
6
10
9.87 x
-6
10
Scientific Notation
9.87 x
6
10
9870000
9.87 x
-6
10
0.00000987
Scientific Notation
8.1 x
3
10
9.4 x
-2
10
Scientific Notation
8.1 x
9.4 x
3
10
-2
10
8100
.094
Scientific Notation
Think of a number-line:
-10 -5
0
5
10
Adding/taking 0’s on right is +
Adding/taking 0’s on left is -
Project Work Time!

The rest of the time is yours to work!

“Bring it on!”
Exit Question
Convert the following numbers to scientific
notation.


Last July, it was estimated that the
world’s population is about
6,707,000,000.
The coldest temperature ever created
by man is 0.000000005 K.