basic samples of expressing ordinary numbers to scientific notation and vice versa

1. Shorthand in writing extremely large or
small numbers, in the form of
N=m x 10b
Scientific notation has a number of
useful properties and is commonly
used in calculators and by scientists,
mathematicians and engineers.
Scientific Notation

2. Standard decimal notation Normalized scientific notation
2 2×100
300 3×102
4,321.768 4.321768×103
-53,000 −5.3×104
6,720,000,000 6.72×109
0.24 2.4 ×10−1
0.000 000 007 51 7.51×10−9

3. Express the following in scientific
notation:
1) 0.00385 m
2) 0.2 cm
3) 256,000,000 ft
4) 300,000,000 m/s
5) 84 mi

4. 6) 0.00000000012 cm
7.) 6785 liters
8) 0.2 hr
9) 40 Megawatts
10) 12 Kilo ohms

5. 1. 6.8 x 10 -5
mA
2. 4.5 x 10-1
cm
3.4.7 x 10 6
kg
4.29.72 x 10-2
sec
5.1.205 x 10 3
mi
Express the following in ordinary
notation

6. 1. The earth weighs
6,590,000,000,000,000,000,000
tons.
2. The Yangtze River carries
1,800,000,000 tons of soil each year,
enough to encircle the globe 27 times
with an earthen bank over 3 feet high
and 3 feet thick.
Express the following in scientific notation:

7. 3. The period of visible light is
1.0 x 10 -15
second.
4. Some of the carbon in the carbon
dioxide you breathed in today
may once have been part of a
dinosaur 1.0 x 10 8
years ago.
Express the following in ordinary notation:

8. 5. The density of air is
1.3 x 10 -4
g/cm3
as compared to the
density of water which is 1 g/cm3
.
Express the following in ordinary notation: