Dimensional Analysis 101. Measurements and Units. Length – the distance between two points ( m , cm, in, ft) Mass – the quantity of matter in an object ( g , kg, lb, oz) Volume – a measure of space, in cubic units (m 3 , cm 3 , ft 3 , in 3 )
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Dimensional Analysis 101
* The base unit (meters) can be changed to other units (grams, liters, etc). Prefixes remain the same (centi-, milli-, kilo-, etc.)
Convert 156 cm to m.
Convert 98 m to km.
Convert 1.74 m to mm.
= .013077 km
BUT! We don’t have a conversion from mm to km! “Double” T-Chart!
To do the math: Multiply every across the top together. (13077 *1*1) . Do the same for the bottom (1000*1000). Divide these two numbers (13077/1,000,000)