Exponents Lesson 10 Multiplying and Dividing.notebook 1 January 03, 2017 Exponents Lesson 10 Multiplying and Dividing with Scientific Notation Supplemental Practice Do Now: 1. Convert into scientific notation: 0.0000000008 2. Convert into standard notation: 5.67 x 10 -6 3.Which is larger? 32,150,000 or 3.2 x 10 7 Pages 5354
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Exponents Lesson 10 Multiplying and Dividing.notebook
1
January 03, 2017
Exponents Lesson 10
Multiplying and Dividing
with Scientific Notation
Supplemental Practice
Do Now:
1. Convert into scientific notation: 0.0000000008
2. Convert into standard notation: 5.67 x 10-6
3.Which is larger? 32,150,000 or 3.2 x 107
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Homework Answers 47
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To Multiply:To multiply two numbers expressed in scientific
notation, simply multiply the numbers out front and add the exponents.
Generically speaking, this process is expressed as:
(n x 10a) • (m x 10b) = (n · m) x 10a+b
Example 1: (1.2 x 104) • (3.4 x 106)
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To Divide:To divide two numbers expressed in scientific
notation, simply divide the numbers out front and subtract the exponents.
Generically speaking, this process is expressed as:
n x 10a
m x 10bnm
= 10a-bx
Example 2:6.2 x 106
3.1 x 103
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If you have to move the decimal to the left, ____________ the power.
ex) 337.4 x 108 =
If you have to move the decimal to the right, ___________ the power.
ex) .056 x 105 =
CAUTION!!!! Sometimes the answer is no longer in Scientific Notation
after multiplying or dividing.
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Example 3:
Example 4:
Watch out for those negative exponents!!!
3.66 x 10-5
2.0 x 10-3
(8.2 x 106)(5.0 x 10-2)
2.0 x 102
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