By:
Colton, Lyric, Jaime
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Scientific notation is a style of writing numbers
that are from large or too small to be expressed
by decimal notation. In scientific notation the
decimal place is moved until only one number
appears on the left side of the decimal.
This is very important in science, it is used in
finding how far it is to the moon and the sun
and all the other planets.
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JOBS:
Jobs like NASA engineering, pharmaceuticals, or a
job that measures something very large or small
such as a biologist or things in the medical
industry, or an astronomer use scientific notation
to make the very large numbers or the very small
numbers easier to use and easier to understand
History:
Archimedes is who invented the use of scientific
notation and power of ten counting so the Greek
alphabet system would no longer be in the
counting system.
We can use scientific notation in space by
seeing how far the earth is from the sun or the
distance from Pluto to the sun.
1. The distance from the earth to the sun is
92,960,000 miles.
In scientific notation it is 9.296*107
2. The distance from Pluto to the sun is 3.67
billion miles.
 In scientific notation is 3.67*109
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If you do not see a decimal point in a number, it is
understood to be at the end of the number.
 Standard form- refers to the usual way that
numbers are written- not in scientific notation.
Rules:
 Any number raised to the power of zero is one
 Any number raised to the power of one is equal to
itself
 Any number raised to the x power is equal to the
product of the number used as a factor x times
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The number 2.23 is called the coefficient. It
must be greater than or equal to 1 and or less
than 10.
 The second number is called the base . It must
always be 10 in scientific notation. The base
number 10 is always written in exponent form.
In the number 2.23 x 1012 the number 12 is
referred to as the exponent or power of ten
2.23 x 1012 = 2.230000000000 = 2,230,000,000,000
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1. 3.6 × 1012
2. 4.2 × 10-7
3.6 × 1012 =3,600,000,000,000
Why it is that is because when you are to the 12
power than you move the decimal 12 places to the
right, than you fill the places with 0’s.
Examples
4.2 × 10-7 = 0.000 000 42
Why it is like this is because the negative makes
the decimal moves 7 spots to the left. Than after
that you fill the spots with zeros.
Questions
1.
2.
3.298 x 104 =
3.2980 =32,980
6.112 x 10-3 =
0006.112 =0.006112
1. What is the difference of the milky way to our
solar system radius, the distance from Pluto to the
sun is 5.9*1012 meters and the milky way radius
is 3.9*1020 round the coefficient to the nearest
tenth
6.6 x 107 meters
2. The speed of light is 3*108 meteres/second. If
the sun is 1.5*1011 meters from the earth, how
many seconds does it take light to reach the earth.
3 x 108 meters
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The approximate volume of the visible
universe (A sphere with a radius of about 14
billion light years) is 1.1 x 1031 cubic light-years.
If a light-year equals 9.2 x 1017 centimeters, how
many cubic centimeters does the visible
universe occupy?
Answer: 1 cubic light year = (9.2 x1017)3 = 7.8 x
1053 cubic centimeters, so the universe contains
7.8 x 1053 x 1.1 x 1031= 8.6 x 1084 cubic centimeters.
Question
a) (5 × 10 2)(7 × 10 5)
d) (-7.2 × 10 -6)(0.00039)
Answer:
a) (5 × 10 2)(7 × 10 5)
= (5 × 7)(10 2 × 10 5)
= 35 × 10 7 = 3.5 × 10 8
d) (- 7.2 × 10 -6)(0.00039)
= (- 7.2 × 10 -6)(3.9 × 10 -4)
= (- 7.2 × 3.9)(10 -6 × 10 -4)
= - 28.08 × 10 -10 = - 2.808 × 10 -9
http://www.regentsprep.org/Regents/math/AL
GEBRA/AO2/page5a.htm
1. 3.34 x 1010
2. 2.22 x 107
3. 3.3 x 10-5
4. 3.5 x 10-2
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http://www.kylesconverter.com/blog/scientif
ic-notation-introduction/
http://www.purplemath.com/modules/expo
nent3.htm
http://www.nyu.edu/pages/mathmol/textbo
ok/scinot.html