# Short Hand Way Writing a Large and Small Value by wys12714

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```									Fundamental Units: units that are defined by a basic unit of measurement. These are units that are based on a
specific definition and given a constant fixed value upon which to base a single unit of the measurement.
time: Seconds (s or sec) This is the basic unit that all time measurements are made in. Since 1967, the
basis for the second is 9,192,631,770 cycles of the radiation of a cesium atom in its lowest two energy
states.
distance: meters (m) This is the basic unit for all other measurements of length, position, or separation
between objects or points. Since 1983, the meter is defined as the distance light will travel in a vacuum in
1/299,792,458th of a second. (The speed of light in a vacuum is exactly 299,792,458 meters per second!)
mass: kilogram (kg) This is the basic unit for all measurements for how much matter there is in an object.
Currently it is based on the mass of a particular cylindrical quantity of a platinum-iridium alloy currently
kept at the Bureau of Weights and Measures at Sevres in France.

Derived Units: Units that are determined by a formula using the fundamental units. They are determined
because a calculation was made with the fundamental units. e.g. Speed - distance traveled in a certain amount of
time. Calculated by dividing distance by time. Units for speed are meters per second (m/s).

Scientific Notation: A short hand method for writing very large or very small numbers. e.g.
The speed of light for all intents and purposes is 300,000,000 m/s. [See above for the exact value.] In scientific
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notation this can be written as 3.00×10 m/s.
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Avogadro’s Number is 602,213,673,600,000,000,000,000. In scientific notation this is 6.022×10 atoms
(molecules) per mole.
The thickness of a sheet of paper is approximately 0.0002 meters. In scientific notation this can be written
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as 2.0×10 meters.

When you add or subtract numbers that are in scientific notation, their powers of ten must be the same.
ex. 4.5 × 105 + 6.1× 103 = 4.5 × 105 + 0.061×105 = 4.561× 105

When you multiply numbers that are in scientific notation, you simply multiply the numbers and add the
powers of ten.
ex. 2.0 × 10-3 × 4.0 × 10 2 = (2.0 × 4.0) ×10(-3+2) = 8.0 × 10-1

When you divide, simply divide the numbers and subtract the powers of ten.
 - 1.4      ( 4−2 )
ex. - 1.4 × 10 4 ÷ 7.0 × 10 2 =         ×10         = −0.2 × 10 2 = −2.0 × 101
  7.0 
Uncertainty of Measurement
Error happens anytime you try to measure something. This is because the devices we use to make a
measurement are not perfectly precise. Sometimes, simply the way we look at the measuring device can create
error.
Parallax: the apparent shift of the needle or measurement mark of a measuring device when not viewed from
directly above the needle or mark. Parallax can be caused simply by looking at a measuring device without
There are two basic kinds of error: Absolute and Percent.
Absolute Error comes from imprecision in the measuring device. This depends on how small the divisions are
on the measuring device. This error is indicated by using a “±” with the smallest division on the measuring
device.
ex. A ruler can measure to the nearest millimeter. The width of a block may have a measurement of 4.0
cm ± 0.1 cm (0.1 cm = 1 mm)

Percent Error shows the difference between an expected value for a measurement, and the calculated value