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Dimensional Analysis<br />
This is a way to convert from one unit of a given substance to<br />
another unit using ratios or conversion units. What this video<br />
www.youtube.com/watch?v=aZ3J60GYo6U<br />
Let’ look at a couple of examples:<br />
1. Convert 2.6 qt to mL.<br />
First we need a ratio or conversion unit so that we can go from quarts to milliliters. 1.00 qt = 946 mL<br />
Next write down what you are starting with<br />
2.6 qt<br />
Then make you conversion tree<br />
2.6 qt<br />
Then fill in the units in your ratio so that you can cancel out the original unit and will be left with the<br />
unit you need for the answer. Cross out units, one at a time that are paired, and one on top one on<br />
the bottom.<br />
2.6 qt mL<br />
qt<br />
Now fill in the values from the ratio.<br />
2.6 qt 946 mL<br />
1.00 qt<br />
Now multiply all numbers on the top and multiply all numbers on the bottom and write them as a<br />
fraction.<br />
2.6 qt 946 mL = 2,459.6 mL<br />
1.00 qt 1.00<br />
Now divide the top number by the bottom number and write that number with the unit that was not<br />
crossed out.