Download 5 Scientific Notation

Scientific
Notation
H o w t o p l a y w i t h
e x t r e m e n u m b e r s
The Rules
2.99 x
8
10
Scientific notation is this:
- A number. (Usually a decimal)
- x 10^
- Some kind of exponent (+ or -)
What does it mean?
Scientific Notation
Full Number
1x100
1
1x101
10
1x102
100
1x103
1,000
1x104
10,000
1x105
100,000
1x106
1,000,000
What to do...
Take this number
2.99 x
2.99
8
10
Move the decimal to the right this many places.
299,000,000
Tada.
What if it’s negative?
Take this number
1.6 x
1.6
-19
10
Move the decimal to the left this many places.
0.00000000000000000016
Tada.
Practice
Pikachu is 1.1 meters tall.
Pikes Peak is 14,114 feet tall.
How many Pikachus tall is Pikes Peak?
How to do math...
With Scientific Notation.
Do this on your calculator:
1.99x1031 + 1.67x10-19
What do you get?
How to do math...
With Scientific Notation.
Do this on your calculator:
1.99x1031 + 1.67x10-19
What do you get?
Is your calculator broken?
What does it mean
What does it mean
In real numbers?
What does it mean
In real numbers?
1,990,000,000,000,000,000,000,000,000,000
What does it mean
In real numbers?
1,990,000,000,000,000,000,000,000,000,000
+
What does it mean
In real numbers?
1,990,000,000,000,000,000,000,000,000,000
+
0.0000000000000000167
What does it mean
In real numbers?
1,990,000,000,000,000,000,000,000,000,000
+
0.0000000000000000167
What do you get when you take a really big number
and add practically nothing to it?
What does it mean
In real numbers?
1,990,000,000,000,000,000,000,000,000,000
+
0.0000000000000000167
What do you get when you take a really big number
and add practically nothing to it?
No duh. The same, big number.
How do we add
How do we add
In scientific notation?
How do we add
In scientific notation?
You don’t really.
How do we add
In scientific notation?
You don’t really.
If your adding or subtracting in scientific notation....
How do we add
In scientific notation?
You don’t really.
If your adding or subtracting in scientific notation....
You’re doing it wrong!
How do we multiply
In scientific notation?
Step 1: Multiply the decimals
8
2.99x10
•
11
1.50x10
How do we multiply
In scientific notation?
Step 1: Multiply the decimals
8
2.99x10
11
1.50x10
•
2.99 • 1.50
Ans:
?
?.??x10
How do we multiply
In scientific notation?
Step 1: Multiply the decimals
8
2.99x10
11
1.50x10
•
2.99 • 1.50
Ans:
?
4.48x10
How do we multiply
In scientific notation?
Step 2: Add the exponents
8
2.99x10
Ans:
•
11
1.50x10
?
4.48x10
How do we multiply
In scientific notation?
Step 2: Add the exponents
8
2.99x10
•
11
1.50x10
8 + 11
Ans:
?
4.48x10
How do we multiply
In scientific notation?
Step 2: Add the exponents
8
2.99x10
•
11
1.50x10
8 + 11
Ans:
19
4.48x10
How do we multiply
In scientific notation?
Step 3: Rejoice and do your happy dance
Scale of the Universe
How far is it to ________?
How many ________ can fit in _________?