Transcript Scientific Notation

Scientific Notation
SWBAT write the scientific notation for numbers
given in standard form; write the standard form for
numbers given in scientific notation; compare and
order numbers in scientific notation
Scientific Notation
 What happens to a number when you
multiply it by 10?
 The decimal moves to the right
 What happens to a number when you
divide by 10?
 The decimal moves to the left
Scientific Notation
 Scientific notation
 A number written as the product of two
numbers
 The first number must be greater than
or equal to 1 and less than 10
 1 ≤ x < 10
 The second number is written as a
power of 10
Examples
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2.5 x 10-3
7.83 x 100
2.925 x 10-2
4.04 x 10-9
7.1 x 10-4
6 x 107
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0.0025
6400
-54,200,000
0.0000909
6,100,000
-0.0000329
Do the Try These problems on your
paper
 Write in standard
form
 4 x 104
 40,000
 8.13 x 103
 8,130
 1.36 x 10-6
 0.00000136
 Write in scientific
notation
 4,000,000
 4 x 106
 7,500,000
 7.5 x 106
 0.00000000475
 4.75 x 10-9
Comparing numbers in scientific
notation
 Compare the exponents
 If they are different the number with the
greater exponent is larger
 If they are the same the compare the
decimal factors
Which is greater?
 6.3 X 106 ____ 6.456 X 104
 7.23 X 10-5 ____ 9.5 X 10-5
 4.789 X 10-2 ____ 4.09 X 10-4
Order least to greatest
 7.07 X 106, 9.35 X 104, 8.17 X 106
 8.137 X 10-11, 2.015 X 10-6, 1.008 X
10-7
 Greatest to Least
 6.72 X 10-3, 2.79 X 10-2, 5.921 X 10-3
 6.817 X 10-9, 9.012 X 10-5, 7.783 X
10-6