Scientific Notation
Date ______________
Name ____________
Scientific Notation is defined as a way of expressing a number. A
number is expressed in scientific notation when it is written as a
product of a number greater than or equal to one and less than 10,
and a power of ten.
An example of this would be: Express 2345.678 in scientific
notation.
Answer: 2.345678 x 103
If you use a calculator to write this number in scientific notation it
would look like 2.345678E3
Write the following numbers in scientific notation and check your
work using the graphing calculator.
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
8,900,000,000
0.000631
5.1234
55,345
120,000
0.00072
234, 312
9,000,000,000
812.6
0.123456
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Write the following numbers in standard form
1.
2.
3.
2.014E-2
5.94 x 107
2.53 x 109
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4.
5.
6.
7.
8.
9.
10.
7.2E-2
2.09 x 10 -3
6E0
6.03 x 10 -3
1.2 x 105
9.3E7
1.0098E3
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What is the “Largest” exponent that you can enter into your
calculator in scientific notation and still get you calculator to
display the result in standard form? Why do you think this is?
What is the “Smallest” exponent that you can enter into your
calculator in scientific notation and still get you calculator to
display the result in standard form? Why do you think this is?
Why do you think we would want to express numbers in scientific
notation in the first place?
Directions:
Step 1.
Step 2.
Step 3.
Step 4.
Step 5.
Turn the calculator on and clear the screen
Hit the [mode] key
arrow over to [Sci], hit [enter]
make sure [Float] is highlighted, hit [enter]
Hit [2nd] [quit]
Type in the first number and hit [return]. When you type in
8,900,000,000 and hit return your display should show 8.9E9
For the second part of the worksheet, you will want to go back to
the [mode] key. Highlight Normal and press[enter]. Then
press[2nd] [quit] and enter your first number using the [EE] key
(right above the comma key).
I.E., 2.014E-2 would be entered as 2.014 [2nd] [EE] [enter]. You
would get .02014 on your display. You can have your students
experiment with the calculators but I don’t think that it will take an
exponent less than -3 and still give you a number in standard form.
The same is true for positive exponents…none larger than 9 will be
transformed into standard notation. The calculator will just leave it
in scientific form which leads to a good discussion as to why???
What’s the purpose of using scientific notation in the first place?
Does anyone see the process standard of CONNECTION?