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Scientific Notation and Metric Conversions

Chapter 2

Section 2

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Scientific Notation1.) Move decimal after first whole number while counting the number of places you moved.2.) Rewrite number with x 10 following it.3.) Add exponent to 10 based on number of places you moved decimal - exponent is (-) if you moved right and (+) if you moved left.

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2.8x10-8 1.392000x106

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SI Conversions

• Use the prefix line of King Henry died by drinking chocolate milk!

–K h da b d c m

–This gives you the number of places and direction to move the decimal when doing a SI conversion

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• Example #1–How many kilograms are there in 45,

456 mg

K h d b d c m

So…move the decimal 6 places to the left

45,456 mg = 0.045456 kg

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Doing conversions using the “other” prefixes

• Mega – khdbdcm – micro – nano – pico• x3 x3 x3 x3

Example #2 - How many meters are there in 6500 nanometers?

K h d b d c m μ n

= 6.5 x 10-6 m

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Example #4

How many m3 is 650 cm3?

K h d b d c m

So…move the decimal 6 places to the left

650 cm3 = 6.5x10-4 m3 = 0.00065 m3

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