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The Metric Guide

Conversion Factors

The Metric Converter

Ripley's Converter

Dimensional Analysis

 

Dimensional Analysis

What's the method?

  Example 1 Example 2
This is a structured way of helping you to convert units. With this method, you can easily and automatically convert very complex units if you have the conversion formulas. The method involves the following steps Convert 6.0 cm to km Convert 4.17 kg/m2 to g/cm2
1. Write the term to be converted, (both number and unit) 6.0 cm 4.17 kg
  m2
2. Write the conversion formula(s) 100 cm = .00100 km 1.00 m = 100 cm

1.00 kg = 1000 g

3. Make a fraction of the conversion formula, such that

a) if the unit in step 1 is in the numerator, that same unit in step 3 must be in the denominator.

b) if the unit in step 1 is in the denominator, that same unit in step 3 must be in the numerator.

Since the numerator and denominator are equal, the fraction must equal 1.

.00100 km
100 cm
1000 g    1.00 m    1.00 m
1.00 kg   100 cm    100 cm               
4. Multiply the term in step 1 by the fraction in step 3. Since the fraction equals 1, you can multiply by it without changing the size of the term. 6.0 cm .00100 km
             100 cm
4.17 kg   1000 g   1.00 m   1.00 m
         m2
 1.00 kg  100 cm  100 cm
5. Cancel units 6.0 cm .00100 km
              100 cm
4.17 kg    1000 g   1.00 mx 1.00 m
        m2   1.00 kg   100 cm  100 cm
6. Perform the indicated calculation rounding the answer to the correct number of significant figures. .000060 km or 6.0 E -5 km .417 g
     cm2