Standard to Scientific
Write in scientific notation:
200
2 x 102
Write in standard form:
3 x 102
300
Multiply the numbers in scientific notation:
(1 x 102) x (2 x 103)
2 x 105
Divide the numbers in scientific notation:
(6 x 103) / (2 x 102)
3 x 101 (or 3 x 10)
Why do we use scientific notatin?
To write really big or small numbers more efficiently/easier
Write in scientific notation:
3,100
3.1 x 103
Write in standard form:
8 x 100
8
Multiply the numbers in scientific notation:
(3 x 105) x (2 x 104)
6 x 109
Divide the numbers in scientific notation:
(8 x 106) / (4 x 10-2)
2 x 108
In scientific notation, do negative exponents give us big numbers or small numbers?
Small Numbers
Write in scientific notation:
0.0024
2.4 x 10-3
Write in standard form:
6.4 x 103
6,400
Multiply the numbers in scientific notation:
(4 x 103) x (3 x 10-1)
1.2 x 103
Divide the numbers in scientific notation:
(1.2 x 104) / (6 x 102)
2 x 101 (or 2 x 10)
In scientific notation do positive exponents give us big numbers or small numbers?
Big numbers
Write in scientific notation:
506,700,000
5.067 x 108
Write in standard form:
4.03 x 10-2
0.0403
Multiply the numbers in scientific notation:
(5 x 102) x (6 x 106)
3 x 109
Divide the numbers in scientific notation:
(2.8 x 109) /(7 x 103)
4 x 105
How many digits should be in front of the decimal in scientific notion?
One
Write in scientific notation:
0.0003006
3.006 x 10-4
Write in standard form:
9.008 x 106
9,008,000
Multiply the numbers in scientific notation:
(7 x 107) x (3 x 10-3)
2.1 x 105
(1.25 x 1011) / (5 x 103)
2.5 x 107
How many times would you move the decimal when writing the following number in standard notation?
5.3*105
Five