Dimensional Analysis

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Dimensional Analysis

• Converting

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REMEMBER THAT

• This is a processeven if you know how to do
  it another wayDONTI am teaching you the
  process!
• A conversion factor is ALWAYS equal to one
• (because when you divide something by another
  quantity that is equal to it, it is like dividing
  that number by itself, which always equals ONE)

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Creating Conversion Factors
16 cups 1 gal
1000 mL 1 L
5280 ft 1 mile
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NOTICE

• One of the s in the conversion is always 1
• Can apply to metric units.
• Bigger unit is going to be 1

1 km and 1000m 1000m 1 km
1 km 1000 m
1g and 100cg 100cg 1g
1 g 100cg
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How to use the conversion factors.

• Since conversion factors have a value of 1, when
  you multiply by them, although the number (and
  units) may change, the value stays the same,
  since youre just multiplying by 1.

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Rules

• Set up a grid. (with as many sections as you
  need)

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Rules

• Place and unit of what you are given in first
  space of grid.

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Rules

• Place conversion factor with unit you are given
  on bottom of grid and unit of what you want on
  top in next space.

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Rules

• Repeat step 3 if needed.

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Example

• 205 km ____m
• 4 cg ____g

205 000 m
.04 g
Dont forget units!
Dont forget units!