6.5 Scientific Notation Objective: •To convert ordinary numbers to scientific notation and vice versa Frameworks: 8.N.4
Transcript
1. 6.5 Scientific Notation
Objective:
To convert ordinary numbers to scientific notation and vice
versa
Frameworks: 8.N.4
2. What is scientific notation?
a compact way of writing very large and very small numbers
useful in seeing the magnitude of a number at a glance
useful in astronomy, chemistry, and other sciences
3. Scientific Notation
A number is written in scientific notation when it is in the
form
a x 10n
where 1 a < 10 and n is an integer.
4.
5. Try some:
8654.32
8.65432 x 103
.00346
3.46 x 10-3
.00002013
2.013 x 10-5
54179.82
5.417982 x 104
6. And in reverse . . . Express each number in ordinary
notation:
8.0032 x 104
80,032
3.76 x 10-6
0.00000376
4.602 x 105
460,200
6.415 x 10-3
0.006415
7. Using a scientific calculator
Look for a key that says EE or EXP
To multiply: (5.2 x 102)(8.6 x 104)
Type: 5.2 EE 2 x 8.6 EE 4
Get: 4.472 07 (which is 4.472 x 107)