This document contains lesson material on multiplying and dividing numbers in scientific notation. It includes examples of multiplying and dividing terms with exponents, such as adding exponents when multiplying and subtracting exponents when dividing. It also contains homework problems for students to practice these skills and answers to homework problems from page 56. The document provides instruction and exercises on estimating quantities in scientific notation through multiplying and dividing terms with exponents.

1. Module 8.1 Lesson 8 Multiplying and Dividing.notebook
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Module 8.1 Lesson 8
Estimating Quantities
HW
Do Now:
Which is larger?
32,150,000 or 3.2 x 107
Module 2 Packet
due Friday 4/8

2. Module 8.1 Lesson 8 Multiplying and Dividing.notebook
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Do Now:
Which is larger?
32,150,000 or 3.2 x 107

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Homework Answers pg 56 # 1 - 10

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Homework Answers pg 56 # 1 - 10

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Homework Answers pg 56 # 1 - 10

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Homework Answers pg 56 # 1 - 10

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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
)

8. Module 8.1 Lesson 8 Multiplying and Dividing.notebook
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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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p53
1. (2.4x105
)(1.3x103
)
2. (2.4x10102
)(1.3x1042
)
3) 8.37x1030
2.7x1021
4. 3.6x1075
9x1055
5a. (3.4x103
)(5.3x106
)
5b. (4.0x10-5
)(5.2x107
)

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pg 55

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pg 55

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pg 56

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pg 56

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