Cornell Notes Template - Algebra with Ms. Simmons
Name _________________ Section _____ Date: Tuesday, August 31, 2010
Cornell Notes:
Multiplying, Dividing, & Squaring Numbers in Scientific Notation
|Key Vocabulary |Scientific Notation: A number that is written in scientific notation when it is of the form c x 10n where 1 ≤ c ≤10 and n |
| |is an integer. |
|“Who Cares?” |It is important to know how to write numbers in scientific notation because you can manage extremely large OR small numbers|
|Why we learn scientific notation …. |in a better way. For example: the number of electrons that pass through a 1-amp circuit every second is 625 followed by 16 |
| |zeros. It is easier to write the number in scientific notation in order to determine how many electrons pass through the |
| |circuit in 60 seconds. |
|Multiplying Numbers in Scientific Notation |The Steps to Multiplying Numbers in Scientific Notation: |
| |Factor |
| |Multiply the terms |
| |Add the Exponents |
| |Write in Scientific Notation form |
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| |Let’s practice! |
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| |1. (-6.24 x 105) X (4.12 x 10-5) |
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| |2. (– 2.13 x 10 -8) X (-2.8 x 10 -16) |
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|Dividing Numbers in Scientific Notation | |
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| |Steps to Divide in Scientific Notation: |
| |Divide the factors |
| |Subtract the Powers of Ten |
| |Write the quotient in scientific notation. |
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| |Guided Practice: (Complete along with podcast |
| |(8.6 x 1015) / (3.2 X 10 9) |
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| |Let’s Practice on your own |
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|Squaring Numbers in Scientific Notation |Steps to Squaring Numbers in Scientific Notation |
| |Factor out the problem |
| |Square the number first |
| |Square the powers of ten expoenent |
| |Write the number back into scientific notation |
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| |Modeled Example: |
| |(1.1 x 107) 2 |
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| |*Use the exponent outside of the parenthesis to guide you |
| |*Don’t forget to square the decimal number as well… |
|Guided Practice |(8.1 x 1026) /(1.3 x 1017) |
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|Independent Practice | |
|Things to Remember |*In scientific notation the number (decimal) cannot be larger than 10. If it is then you must adjust the decimal point and |
|(Notes to Yourself) |make sure that it is shown in your exponent too!!!! |
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| |*If you move a decimal to the right it is a NEGATIVE move, but if you move the decimal to the left it is a POSITIVE move. |
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Yes my scholar has reviewed these notes and understands how to successfully divide and multiply decimals. We have worked the sample problems attached. Signing below means I acknowledge that my scholar will master this skill and get a 5 point bonus added to the assessment IF she/he passes the assessment.
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(Parent/Guardian Signature- 5 point bonus)
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