This document appears to be notes from a class on scientific notation. It includes examples of writing very large and small numbers using scientific notation, explanations of the components of scientific notation, practice problems solving expressions in scientific notation and ordering numbers written in scientific notation. The document also provides homework assignments involving scientific notation problems.

1. 4.9 scientific notation
Simplify
1. 23 25
2. 107
109
3. m5
m­3
October 25, 2013
4. 3­6
33
5. x8y2
x6y2
Objective: write and evaluate scientific notation
B
E
L
L
W
O
R
K
Dec 4­2:03 PM
HW pg. 214 #6­30 evens
1

2. 4.9 scientific notation
October 25, 2013
Oct 25­7:45 AM
HW pg. 214 #6­30 evens
2

3. 4.9 scientific notation
October 25, 2013
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 · 10 20
Scientific Notation lets you know the size of a #
without having to count digits.
Dec 8­1:34 PM
HW pg. 214 #6­30 evens
3

4. 4.9 scientific notation
October 25, 2013
Ex 1: Write in scientific notation.
a. 50,000
b. 0.016
Ex 2: Write each number in standard form.
a. 6.47 · 10 8
b. 3.1416 · 10 ­4
Dec 8­1:35 PM
HW pg. 214 #6­30 evens
4

5. 4.9 scientific notation
October 25, 2013
Write in scientific notation.
54,500,000
0.00021
Write in standard notation.
8.9 x 105
2.71 x 10­6
Dec 8­1:37 PM
HW pg. 214 #6­30 evens
5

6. 4.9 scientific notation
October 25, 2013
Write each number in scientific notation.
0.37 x 1010
16 x 10 5
453.108
.203 x 10 6
Dec 8­1:39 PM
HW pg. 214 #6­30 evens
6

7. 4.9 scientific notation
October 25, 2013
Order 0.064 x 10 8 , 312 x 10 2, and 0.58 x 107 from least to greatest.
Dec 8­1:40 PM
HW pg. 214 #6­30 evens
7

8. 4.9 scientific notation
October 25, 2013
Multiply 3 x 10­7 and 9 x 10­3 . Write your answer in scientific notation.
(4 x 10 4)(6 x 10 6)
(7.1 x 10 ­8 )(8 x 10 4)
Nov 8­7:18 AM
HW pg. 214 #6­30 evens
8

9. 4.9 scientific notation
October 25, 2013
Scientific Notation
Scientific Notation and Significant Figures
Scientific Notation
n 1 m < 10
expressing a number in the form m x 10
≤
Express in Scientific Notation
7920000
0.000041
52000 x 10 2
Dec 4­2:06 PM
HW pg. 214 #6­30 evens
9

10. 4.9 scientific notation
October 25, 2013
Write in Decimal Form
2.7 x 10 3
6.18 x 10 ­7
Dec 8­1:33 PM
HW pg. 214 #6­30 evens
10

11. 4.9 scientific notation
October 25, 2013
HW pg. 214 #4­22 evens, 26­28
Dec 8­1:40 PM
HW pg. 214 #6­30 evens
11