exponents lesson 10 multiplying and dividing

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Exponents Lesson 10 Multiplying and Dividing.notebook

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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

Pages 53­54

Exponents Lesson 10 Multiplying and Dividing.notebook

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Homework Answers 47

Exponents Lesson 10 Multiplying and Dividing.notebook

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January 03, 2017

Homework Answers 47

Exponents Lesson 10 Multiplying and Dividing.notebook

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January 03, 2017

Homework Answers 47

Exponents Lesson 10 Multiplying and Dividing.notebook

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Homework Answers 47

Exponents Lesson 10 Multiplying and Dividing.notebook

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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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pg 51

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pg 52

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pg 53

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