Convert from Standard to Scientific Notation
0.32
3.2 X 10-1
When you have a negative exponent, the number is originally______________.
small.
(2 X 103)(3 X 104)
2 x 3 = 6
103+4 = 107
6 X 107
(9.3 X 109) / (3.1 X 104)
9.2 / 3.1 = 3
109 - 4 = 105
3 x 105
770,000
7.7 X 105
When you have a positive exponent, the number is originally _______________.
big.
(3.6 x 106)(2 x 103)
3.6 x 2 = 7.2
106+3 = 109
7.2 x 109
(4.5 x 10-6) / (1.5 x 102)
4.5 / 1.5 = 3
10(-6) - 2 = 10-8
3 x 10-8
0.004082
4.082 x 10-3
8.256 X 105
825,600
(1.2 X 10-5)(4 X 108)
1.2 x 4 = 4.8
10(-5) + 8 = 103
4.8 X 103
(4.8 X 103) / (2 X 109)
4.8 / 2 = 2.4
103 - 9 = 10-6
2.4 X 10-6
When you write in scientific notation, you can only have ______ number to the left of the decimal.
one
4.2 X 10-4
0.00042
(4.2 X 105)(3.1 X 102) Write in proper scientific notation.
4.2 x 3.1 = 13.02
105+2 = 107
13.02 x 107
1.302 X 108
(6.14 X 102) / (3.07 X 10-8)
2 / 8 = 0.25
102 - (-8) = 1010
0.25 x 1010
2.5 X 109
1.834
1.834 X 100
9.0123 X 10-2
0.090123
(3.2 X 103)(5.1 X 10-7) Write in Proper Scientific Notation
3.2 x 5.1 = 16.32
103 + (-7)= 10-4
16.32 x 10-4
1.632 x 10-3
(1.5 X 103) / (3 X 104) Write in proper scientific notation.
1.5 / 3 = 0.5
103 - 4 = 10-1
0.5 x 10-1
5 X 10-2