Exponents lesson 10 multiplying and dividing

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This document discusses multiplying and dividing numbers expressed in scientific notation. It states that to multiply numbers in scientific notation, multiply the numbers out front and add the exponents. To divide numbers in scientific notation, divide the numbers out front and subtract the exponents. The document provides examples of multiplying and dividing numbers in scientific notation, and cautions that the answer is not always in scientific notation after multiplying or dividing. It also includes practice problems and answers related to multiplying and dividing numbers expressed using scientific notation.

Exponents Lesson 10 Multiplying and Dividing.notebook
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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

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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
10b
n
m
= 10a-b
x
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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1. 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 Pages 5354

2. Exponents Lesson 10 Multiplying and Dividing.notebook 2 January 03, 2017 Homework Answers 47

3. Exponents Lesson 10 Multiplying and Dividing.notebook 3 January 03, 2017 Homework Answers 47

4. Exponents Lesson 10 Multiplying and Dividing.notebook 4 January 03, 2017 Homework Answers 47

5. Exponents Lesson 10 Multiplying and Dividing.notebook 5 January 03, 2017 Homework Answers 47

6. Exponents Lesson 10 Multiplying and Dividing.notebook 6 January 03, 2017 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 ) 49

7. Exponents Lesson 10 Multiplying and Dividing.notebook 7 January 03, 2017 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 10b n m = 10a-b x Example 2: 6.2 x 106 3.1 x 103 49

8. Exponents Lesson 10 Multiplying and Dividing.notebook 8 January 03, 2017 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. 49

9. Exponents Lesson 10 Multiplying and Dividing.notebook 9 January 03, 2017 49

10. Exponents Lesson 10 Multiplying and Dividing.notebook 10 January 03, 2017 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 49

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