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Scientific Notation
Positive Exponents




101
102
103
104
=
=
=
=
10
10X10= 100
10X10X10 = 1000
10X10X10X10 = 10,000
Negative Exponents




10-1
10-2
10-3
10-4
=
=
=
=
1/10 = 0.1
1/100 = 0.01
1/1000 = 0.001
1/10000 = 0.0001
Scientific Notation
 We use the idea of exponents to make it easier to
work with large and small numbers.
 10,000 = 1 X 104
 250,000 = 2.5 X 105
 Count places to the left until there is one number to
the left of the decimal point.
 230,000 = ?
 35,000 = ?
Scientific Notation Continued
 0.00006 = 6 X 10-5
 0.00045 = 4.5 X 10-4
 Count places to the right until there is one
number to the left of the decimal point
 0.003 = ?
 0.0000025 = ?
Multiplying with Scientific Notation
 Add the Exponents
 102 X 103 = 105
 100 X 1000 = 100,000
Multiplying with Scientific Notation
(2.3 X 102)(3.3 X 103)

230 X 3300

Multiply the Coefficients

2.3 X 3.3 = 7.59

Add the Exponents

102 X 103 = 105

7.59 X 105

759,000
Multiplying with Scientific Notation
 (4.6 X 104) X (5.5 X 103) = ?
 (3.1 X 103) X (4.2 X 105) = ?
Dividing with Scientific Notation
 Subtract the Exponents
 104/103 = 101
 10000X 1000 = 10
Dividing with Scientific Notation

(3.3 X 104)/ (2.3 X 102)

33000 / 230 = 143.4783

Divide the Coefficients

3.3/ 2.3 = 1.434783

Subtract the Exponents

104 / 102 = 102

1.4347823 X 102

143.4783
Dividing with Scientific Notation
 (4.6 X 104) / (5.5 X 103) = ?
 (3.1 X 103) / (4.2 X 105) = ?