Scientific Notation By Jenny Erickson What is scientific Notation? Scientific notation is a way of expressing really big numbers or really small numbers. It.
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Transcript Scientific Notation By Jenny Erickson What is scientific Notation? Scientific notation is a way of expressing really big numbers or really small numbers. It.
Scientific Notation
By Jenny Erickson
What is scientific Notation?
Scientific notation is a way of
expressing really big numbers or really
small numbers.
It is most often used in “scientific”
calculations where the analysis must be
very precise.
Why use scientific notation?
For very large and very small numbers,
these numbers can be converted into
scientific notation to express them in a
more concise form.
Numbers expressed in scientific
notation can be used in a computation
with far greater ease.
Scientific notation consists of
two parts:
A number between 1 and 10
A power of 10
N x 10x
Are the following in scientific notation?
Changing standard form to
scientific notation.
To change standard form to
scientific notation…
Place the decimal point so that there is
one non-zero digit to the left of the
decimal point.
Count the number of decimal places the
decimal point has “moved” from the
original number. This will be the
exponent on the 10.
Continued…
If the original number was less than 1,
then the exponent is negative. If the
original number was greater than 1,
then the exponent is positive.
Example 1
Given: 289,800,000
Use: 2.898 (moved 8 places)
Answer: 2.898 x 108
Example 2
Given: 0.000567
Use: 5.67 (moved 4 places)
Answer: 5.67 x 10-4
Practice
Use the link below to practice
converting standard form to scientific
notation.
– Converting to Scientific Notation
Changing scientific notation to
standard form.
To change scientific notation to
standard form…
Simply move the decimal point to the
right for positive exponent 10.
Move the decimal point to the left for
negative exponent 10.
(Use zeros to fill in places.)
Example 3
Given: 5.093 x 106
Answer: 5,093,000 (moved 6 places to
the right)
Example 4
Given: 1.976 x 10-4
Answer: 0.0001976 (moved 4 places to
the left)
Practice
Use the link below to practice
converting scientific notation to standard
form.
– Converting to Standard Form
Even More Practice
Below is a list of links to games and
activities all having to do with scientific
notation.
– http://www.aaamath.com/dec71idec2sci.html
– http://janus.astro.umd.edu/cgibin/astro/scinote.pl
– http://www.sciencejoywagon.com/physicsz
one/lesson/00genral/dectosci.htm
Now take the quiz to test your
scientific notation skills!
Click on the link below to take the quiz
and then use the answer key for the
correct answers.
– Quiz
– Answers