Standard Form
A number expressed in standard form means...
The two components of scientific notation are
What steps do we take to multiply with scientific notation?
Separate leading numbers and powers of 10.
What are the steps to dividing by scientific notation?
Separate leading numbers and powers of 10.
Express this number in standard notation
103
Write this number in scientific notation
104
(1 x 103)(2 x 104) =
2 x 107
We subtract the exponents.
Express this number in standard form
2.35 x 107
Express this number in scientific notation: 250,000
2.5 x 105
(2.5 x 106)(2.5 x 103)
6.25 x 109
(2 x 104) / (1 x 102) =
2 x 102
Express this number in standard form
5.3 x 10-6
Express this number in scientific notation .000008
8 x 10-6
(6 x 102)(2 x 10-2) =
1.2 x 101
(5 x 106) / (2 x 101) =
2.5 x 105
How does a negative exponent determine which way we move our decimal?
The decimal will move to the left if it's negative
Are these numbers the same: 4 x 10-5 and 4 x 105
No, they are not the same. One has a positive exponent and the other has a negative exponent, which means the decimals move in opposite directions.
(7 x 108)(8 x 107) =
5.6 x 1016
(1 x 105) / (2 x 104)
5 x 102