This document provides information about scientific notation and examples for writing numbers in scientific notation and standard form. It includes exercises for writing numbers in scientific notation, ordering numbers written in scientific notation, multiplying numbers in scientific notation, and converting between scientific notation and standard decimal form. The key aspects of scientific notation covered are that it expresses numbers as a value between 1 and 10 multiplied by a power of 10.

1. 4.9 scientific notation November 08, 2011
Simplify
1. 23 25 4. 3­6
B
33 E
2. 107 L
109 5. x8y2 L
x6y2 W
3. m5
m­3 O
R
Objective: write and evaluate scientific notation
K
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2. 4.9 scientific notation November 08, 2011
Scientific Notation: is used to write very large or very small
numbers
Has two factors
The first factor is a number greater than or equal to 1
and less than 10.
The second factor is a power of 10.
4 ∙ 103 9.9 ∙ 10­8 6.001 ∙ 1020
Scientific Notation lets you know the size of a #
without having to count digits.
HW pg. 219 #1­33 mult. of 3 2

3. 4.9 scientific notation November 08, 2011
Ex 1: Write in scientific notation.
a. 50,000 b. 0.016
Ex 2: Write each number in standard form.
a. 6.47 ∙ 108 b. 3.1416 ∙ 10­4
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4. 4.9 scientific notation November 08, 2011
Write in scientific notation.
54,500,000 0.00021
Write in standard notation.
8.9 x 105 2.71 x 10­6
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5. 4.9 scientific notation November 08, 2011
Write each number in scientific notation.
0.37 x 1010 453.108
16 x 105 .203 x 106
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6. 4.9 scientific notation November 08, 2011
Order 0.064 x 108 , 312 x 102, and 0.58 x 107 from least to greatest.
HW pg. 219 #1­33 mult. of 3 6

7. 4.9 scientific notation November 08, 2011
Multiply 3 x 10­7 and 9 x 10­3. Write your answer in scientific notation.
(4 x 104)(6 x 106) (7.1 x 10­8)(8 x 104)
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8. 4.9 scientific notation November 08, 2011
Scientific Notation
Scientific Notation and Significant Figures
Scientific Notation
expressing a number in the form m x 10n 1 ≤ m < 10
Express in Scientific Notation
7920000 0.000041 52000 x 102
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9. 4.9 scientific notation November 08, 2011
Write in Decimal Form
2.7 x 103 6.18 x 10­7
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10. 4.9 scientific notation November 08, 2011
HW pg. 219 # 1 ­ 33 odds
HW pg. 219 #1­33 mult. of 3 10