How do I use dimensional analysis
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How do I use dimensional analysis

[From: ] [author: ] [Date: 12-09-28] [Hit: ]
I looked up conversions and tried to figure it out, but having to show my work makes it a lot harder because dimensional analysis is very confusing to me.Thank you for your help-Its simply a matter of putting the units in the numerator or denominator, depending on what you want.So, here are examples to help you figure it out,......
I have to do a project in chemistry where I take a recipe and convert the measurements from standard to metric using dimensional analysis. I'm really struggling with this.

My recipe:
2 1/4 cups all purpose flour
1 teaspoon baking soda
1 teaspoon salt
1 cup butter
3/4 cup granulated sugar
3/4 packed brown sugar
1 teaspoon vanilla extract
2 large eggs (don't need to convert obviously)
2 cups chocolate chips

Please, someone help me! I looked up conversions and tried to figure it out, but having to show my work makes it a lot harder because dimensional analysis is very confusing to me.

Thank you for your help

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Its simply a matter of putting the units in the numerator or denominator, depending on what you want. So, here are examples to help you figure it out, but I'm not using the actual conversions, because I don't know them without looking them up.
Lets say there are 5 mls in 1 tsp. If you have 2 tsp and want to convert to mls, here's what you do.
2 tsp x 5 mls/tsp; the tsp cancel and you end up with 10 mls.
If you had it the other way around, where, lets say they gave you 5 mls, and you wanted to convert to tsp, here's what you'd do with dimensional analysis. Use the units to get what you want.
5 mls x 1 tsp/ 5 ml; the mls cancel out and you end up with 1 tsp.

So, in summary, you just put the units in the numerator OR denominator to get what you want. Hope this makes some sense. It's really easy once you get the hang of it.

Another example with stuff you are familiar with. Convert 6 inches to feet.
6 inches x 1 foot/12 inches; inches cancel and you end up with 6/12 or 0.5 feet.

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put the unit you know in the denominator and the one you want to get to, in the numerator.

for example. convert the cups of flour into a metric volume unit, either cu. cm. or mL
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