Download scientific notation

March 31, 2011
Bell Ringers - March 10
Simplify each expression.
1. 3
-3
3. xy
4
2. -3
4
-4
-4
4. 3m-8
sn
March 31, 2011
8.2 Scientific Notation
Scientific notation is a shorthand way to write large or
small numbers.
Scientific notation:
A number in scientific notation is written as a product of
n
two factors in the form a x 10 , where n is an integer
and 1 ≤ a < 10
Ex1: Is each number in scientific notation?
a. 13.2 x 10
6
b. 0.46 x 10
4
c. 3.25 x 10
-2
Ex2: Write each number in scientific notation.
a. 234,000,000
b. 0.0000063
c. 0.000325
d. 5,402,000
March 31, 2011
Guided Practice
1. Write each number in scientific notation.
a. 267,000
b. 46,205,000
c. 0.0000407
d. 0.000000009
Ex3: Write each number in standard notation.
a. elephant's mass: 8.8 x 10
b. ant's mass: 7.3 x 10
8
-5
6
c. temperature at the sun's core: 1.55 x 10 kelvin
Guided Practice
2. Write each number in standard notation.
12
a. 3.2 x 10
c. 5.6 x 10
Homework:
-4
b. 5.07 x 10
d. 8.3 x 10
4
-2
Pages 438-439 # 3-6, 7-21 odd
March 31, 2011
8.2 Scientific Notation
Write each number in scientific notation.
2. 0.000000023
1. 51,000,000
3. 1560 billion
Write each number in standard notation.
4. 8.0023 x 10
-3
5. 4.155 x 10
7
Guided Practice
1. Write each number in scientific notation.
a. 267,000
b. 46,205,000
c. 0.0000407
d. 0.000000009
2. Write each number in standard notation.
a. 3.2 x 10
12
b. 5.07 x 10
c. 5.6 x 10
-4
d. 8.3 x 10
4
-2
March 31, 2011
Write the following numbers in scientific notation.
1. 136 x 10
3
3. 5,295 x 10
5. 0.061 x 10
7. 0.92 x 10
2
2. 74 x 10
5
4. 29 x 10
12
6. 0.00084 x 10
2
8. 0.00007 x 10
12
6
3
Use scientific notation to Order Numbers
Ex: List in order from least to greatest.
a. 0.00063 x 10 5 , 6.03 x 10 4 , 6103 , and 63.1 x 10 3
-5
4
3
b. 60.2 x 10 , 63 x 10 , 0.067 x 10 , and 61 x 10
-2
Pages 438-439 # 3-6, 7-21 odd
2
March 31, 2011
Multiplying A Number in Scientific Notation
3
-4
2. 0.3(1.3 x 10 )
3
4. 0.4(2 x 10 )
1. 6(8 x 10 )
-9
3. 2(6 x 10 )
Guided Practice
1. Simplify. Write each answer in scientific notation.
-3
-4
6(5.3 x 10 )
8(7 x 10 )
5
0.5(6.8 x 10 )
-2
0.2(6 x 10 )