Transcript Lesson 8-3 - Elgin Local Schools

Lesson 8-3
Scientific Notation
Definition
• Scientific Notation - A number is
expressed in scientific notation when it
is written as a product of a factor and a
power of 10. The factor must be greater
than 1 and less than 10.
• Scientific to Standard Notation
• 2.45 x 108
Move the decimal point to the right
• 3 x 10-5
Move the decimal point to the left.
Express each number in standard form.
a) 7.48 10
3
b) 2.19 10
5
• Standard to Scientific Notation
• 30,500,000
Move the decimal point to the left
• 0.000781
Move the decimal point to the right.
Express each number in scientific
notation.
a) 0.000000672
b) 3,022,000,000,000
The graph shows chocolate and candy sales
during a recent holiday season.
Candy Type
Candy
Canes
Chocolate
All Candy
Total Sales
$120 million
$300 million
$145 billion
• Express the sales of candy canes, chocolates, and all candy in
standard notation.
• Write each of these numbers in scientific notation.
The Sporting Goods Manufacturers Association
reported that in 2000, women spent $4.4 billion on
124 million pairs of shoes. Men spent $8.3 billion
on 169 million pairs of shoes.
• Express the numbers of pairs of shoes sold to women, pairs
sold to men, and total spent by both men and women in
standard notation.
• Write each of these numbers in scientific notation.
• Multiplication with Scientific Notation
Evaluate (5 x 10-8)(2.9 x 102). Express the result in scientific notation
and standard form.
(5 x 10-8)(2.9 x 102).
= (5 x2.9)(10-8 x 102).
= 14.5 x 10-6
= (1.45 x 101) x 10-6
= 1.45 x (101 x 10-6)
= 1.45 x 10-5 or 0.0000145
• Multiplication with Scientific Notation
Evaluate (7 x 10-6)(4.3 x 1012)
Express the result in scientific notation and standard form.
• Division with Scientific Notation
1.2789x10 9
Evaluate 5.22x10 5
Express the result in scientific notation and standard form.
1.2789x109 1.2789 109 
 5 

5  

5.22x10
5.22 10 
= 0.245 x 104

= (2.45 x 10-1) x 104
= 2.45 x (10-1 x 104)
= 2.45 x 103 or 2450
• Division with Scientific Notation
6.4  10
7
1.6  10
4