Transcript Scientific Notation N SPI 0806.2.3 Use scientific notation to compute

Scientific Notation
N SPI 0806.2.3 Use scientific notation to compute
products and quotients.
Standard Form
Look at this example and put it into
standard form.
2.45 x 108
2.45
Move the decimal 8 places to the right!
YOUR ANSWER SHOULD LOOK LIKE THIS
245,000,000
Standard Form to Scientific
Notation
30,500,000
Put this example into scientific notation!
But wait where is the decimal??
Correct! At the end of the number!!
Lets move it to the left!
30,500,000.
YOUR ANSWER
3.0500000 X 10n
What does the “n” stand for?
The “n” is the variable that represents the
exponent!
How many times did we move the
decimal?
7
The answer is: 3.05 X 107
Multiplication with Scientific
Notation
Lets do this problem and at the end put your
answer in scientific and standard notation!
(5 x 10-8)(2.9 x 102)
= (5 x 2.9)(10-8 X 102)
= 14.5 x 10-6
= (1.45 x 101) x 10-6 14.5 = 1.45 x 10
= 1.45 x (101 x 10-6)
= 1.45 x 10-5 or 0.0000145 ANSWER
Commutative and Associative Properties
Product of Powers
1
Associative Property
Division with Scientific Notation
1.2789 x 109
5.22 x 105
Split up the division problem into two
separate division problems!
1.2789
x 109
5.22
105
1.2789
5.22
=0.245
x 109
105
x
104
Divide
=(2.45 x 10-1) x 104
=2.45 x (10-1 x 104)
=2.45 x 103 or 2450 ANSWER
Move the decimal to the appropriate position.
Group and calculate!