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# Scientific Notation, Significant Figures, and the Metric Sys

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## Lauren Stutts

on 9 September 2014

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#### Transcript of Scientific Notation, Significant Figures, and the Metric Sys

Significant Figures, Scientific Notation, and the Metric System
design by Dóri Sirály for Prezi
Examples: Requirements:
Height (65 inches) 1. A number
Temperature (87*F) 2. A unit
Mass (3.23 grams)
Age (21 years)

What is it? A simplified way of writing really large and really small numbers.

Why? It's FASTER, easier to read, and more convenient.
602000000000000000000000 vs. 6.02 x 10^23

0.000000000865 vs. 8.65 x 10^-10
Measurement
6.2
6.20
6.200
6.2000
Scientific Notation
Scientific notation must always include 2 things:
1. A number between 1 and 10
2. the number 10 raised to some power.

Good 2.03 x 10^6, 9.98 x 10^-28
Bad 0.99 x 10^7, 12.4 x 10^14
How is it written?
0.000768 grams

34560000 cm

652 inches

0.00000118890 moles

34 tbsp
Let's try a few!
A number 1-10 x 10^a power
Negative or Positive exponent?
1. If the number is more than \$1.00, the exponent will be POSITIVE. (ex. 1740000 or 543.99)

2. If the number is less than \$1.00, the exponent will be NEGATIVE. (ex. 0.0000000897 or 0.00004768)
Ask yourself: If this number represented money, could I spend it?
What do these have in common?
exponents
Significant Figures
Which is correct?
It depends on the measuring instrument used. Look closely at this ruler:
Why do Sig Figs matter?

Accuracy: how close a measured value is to its exact value

Precision: how close a set of measurements are to each other

The Metric System

Units of measurement
The meter is used to measure length, but if we need to find the length of I-10 or of a flea would this be easy to do with a meter stick?

The liter is used to measure a liquid's volume. Would it be reasonable to measure the volume of water in a lake or the volume of acid in a pipet?
So what can we do?
Use PREFIXES!
http://htwins.net/scale2/
What happens when scientists fail to convert American units to the globally accepted metric units?
Full transcript