Converting Scientific Notation
Convert Scientific Notation
Sep 20­10:41 AM
Sep 20­10:48 AM
Sep 20­10:51 AM
Sep 20­11:22 AM
Sep 20­11:24 AM
1
Sep 20­11:27 AM
Sep 20­11:28 AM
Sep 20­11:30 AM
Sep 20­11:32 AM
Sort the given values.
Written in proper scientific notation
A number is written in scientific notation if it is of the form
n
c x 10 *
where 1 < c < 10 and n is an integer.
*
an integer is a positive, negative whole number including zero
{... ­3, ­2, ­1, 0, 1, 2, 3 ... }
Scientific Notation
NOT written in proper scientific notation
Correct Scientific Notation?
2
Scientific notation is used to write really big numbers.
decimal notation
scientific notation
move the star to count the number of decimal places 123,000,000,000
the amount of moves will give you the exponent value
45,000,000
Scientific notation is used to write really big numbers.
scientific notation
7.82 x 10
3.04 x 10
5 x 10
67,800,000,000,000
6.2103 x 10
9,000
Dec to SN pos exponent
3
the exponent tells you how many decimal places you need to move
8
4
10
SN to dec pos exxponents
An example of a really big number. Please write it in scientific notation.
An example of a really big number. Please write it in scientific notation.
As the planets orbit the sun, the closest Pluto gets to Earth is approximately 2,700,000,000 miles.
The speed of light in a vacuum is approximately 186,000 miles per second.
Earth to Pluto
Speed of Light
Scientific notation is used to write really small numbers.
decimal notation
decimal notation
scientific notation
Scientific notation is used to write really small numbers.
scientific notation
0.000000034
4.8 x 10
0.0000000005609
1.2 x 10
0.000000000064
9 x 10
­6
Dec to SN neg exponents
the exponent tells you how many decimal places you need to move
­12
­2
move the star to count the number of decimal places 0.007
decimal notation
the amount of moves will give you the exponent value
7.1034 x 10
­5
SN to Dec Neg Exponents
3
An example of a really small number. Please write it in scientific notation.
Human fingernails grow at a rate of about 0.00286 inches per day.
Sep 16­2:27 PM
Fngernails
An example of a really small number. Please write it in scientific notation.
The thickness of a red blood cell is approximately 0.0003125 of an inch.
How do you know that a number written in scientific notation will be really big or really small ?
Red Blood Cells
When do you write a negative exponent when converting to scientific notation?
Closure Question
Extra Practice
When do you write a positive
exponent when converting to scientific notation?
Closure Question
SN to Decimal
4
Extra Practice
Dec to SN
Sep 21­1:45 PM
Sep 21­2:06 PM
Sep 21­2:08 PM
Sep 21­2:10 PM
Sep 20­10:39 AM
5
Sep 20­1:20 PM
Sep 20­1:25 PM
Sep 20­1:28 PM
Sep 20­1:30 PM
Sep 20­1:59 PM
Sep 20­2:04 PM
6
Sep 20­2:07 PM
Sep 20­2:11 PM
7