#### 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?

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