BELLWORK
Unit 8: Exponents
Scientific Notation
What do you already know about scientific notation?
Include how, when, and where it is used?
SPI 2.2 Multiply, Divide, square numbers expressed in scientific notation
PLEASE write in complete sentences.
Agenda
Define Scientific Notation
Recognize if a number is in scientific notation
Write numbers into Scientific Notation
Write into Standard Notation
Ordering Numbers in Scientific Notation Multiply in Scientific Notation
Divide in Scientific Notation
Practice and Apply
Bellwork
Agenda
Scientific Notation is used to show very large or very small numbers
A number in scientific notation is the product of two
factors in the form
Recognizing Scientific Notation
0.23 x 10­3
a x 10n
where n is an integer and 1
< a < 10
2.3 x 107
9.3 x 1009
Definition
TRY
Recognizing Scientific Notation TRY
recognize notation
Writing a Number into Scientific Notation
Big Number Positive Exponent
Little Number Negative Exponent
53 x 104
1,430,000,000
0.00000000001
3.42 x 10­7
0.35 x 100
Recognize notation Try
Write Scientific Notation
1
TRY
Writing a Number into Scientific NotationTRY
Big Number Positive Exponent
Little Number Negative Exponent
678,000
0.000032
Writing a Number into Standard Notation
Big Number Positive Exponent
Little Number Negative Exponent
3.1 x 10­3
5.5 x 106
0.0000007
51,400,000
Write Scientific Notation TRY
Write Standard Notation
TRY
TRY Writing a Number into Standard Notation
Order from least to greatest
Big Number Positive Exponent
Little Number Negative Exponent
49.7 x 10, 4.17 x 107, 0.047 x 109, 495
5.23 x 107
4.6 x 10­5
2.09 x 10­4
3.8 x 1012
Write Scientific Notation Try
TRY
Order from least to greatest TRY
Order
Multiplying Numbers in Scientific Notation
24.8 x 10­4, 28 x 103, 0.025 x 104, 258
(3 x 105)(5 x 10­12)
Order Try
Multiply
2
TRY Multiplying Numbers in Scientific Notation
TRY
TRY
(7 x 108)(4 x 105)
(3 x 108)2
Multiply Try
Multiply
Multiplying Numbers in Scientific Notation
TRY
(7 x 108)5
Dividing Numbers in Scientific Notation
Dividing Numbers in Scientific Notation
1.21 x 107
4.81 x 105
Multiply Try
TRY
Multiplying Numbers in Scientific Notation
Divide
TRY
PRACTICE AND APPLY
SPI 3.2
7.33 x 106
4.33 x 104
Scientific Notation
P424 #12­44 Even
P429 #29­34
P437 #38­45
P444 #24­29
Divide try
Practice and Apply
3