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babybritt002
 one year ago
22.4 kg/L to kg/ml
please work out so I can unsderstand
babybritt002
 one year ago
22.4 kg/L to kg/ml please work out so I can unsderstand

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YoloShroom
 one year ago
Best ResponseYou've already chosen the best response.0Hey there, britt , still need help?

YoloShroom
 one year ago
Best ResponseYou've already chosen the best response.0Alright so, every 1 kg/l equals .001 kg/ml so to get how many kg/ml we need, we mulitply 22.4 by .001, can you do that for me?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Basically we want the L's to cancel out so that we can keep the units of kg, but convert L to mL. Basically, \[\frac{ kg }{ L }*\frac{ L }{ mL }\]

YoloShroom
 one year ago
Best ResponseYou've already chosen the best response.0or you can do that.

babybritt002
 one year ago
Best ResponseYou've already chosen the best response.0dw:1444174080721:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I always found it easier to construct this sort of "table" of units first to see what direction I need to go. Once you have the units set up as I did above, then plug in what you know. \[\frac{ 22.5kg }{ 1L }*\frac{ .001L }{ 1mL }\]

babybritt002
 one year ago
Best ResponseYou've already chosen the best response.0can you guys draw it out make that could help

jdoe0001
 one year ago
Best ResponseYou've already chosen the best response.0there are 1000 ml in one Liter thus one could say \(\bf \cfrac{1000ml}{1L}\quad or\quad \cfrac{1L}{1000ml}\qquad thus \\ \quad \\ \cfrac{22.4kg}{\cancel{1L}}\cdot \cfrac{\cancel{1L}}{1000ml}\)

jdoe0001
 one year ago
Best ResponseYou've already chosen the best response.0so, you use, whatever fraction of the unit, that's convenient in this case, the L is at the bottom, so the convenient fraction is the one with the L atop, so it cancels out the one at the bottom

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I'll try to dissect this to make it easier to grasp. We're initially given that we have \[\frac{ 22.4kg }{ L }\] But we want the L to become mL. Well how do we do this? We know that for 1L, there are 1000mL. That is the definition of mL. Another way to represent this relationship is to say that that 1mL is 0.001L. This means that 1mL is a thousandth of a L. Given this relationship, we can convert L to mL by multiplying by the conversion that we just stated AKA 1000mL in 1L. Therefore: \[\frac{ 22.4kg }{ L }*\frac{ 1L }{ 1000mL }\] is the "table" or equation that we need to solve the problem. Does this make sense?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Okay perfect. The rest is easy :) By multiplying, we get\[\frac{ 22.4kg*L }{ 1000mL*L }\] Oh look, the L's cancel out Therefore, after dividing our numbers and units, our final answer is\[0.0224\frac{ kg }{ mL }\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0This makes sense that we can an even smaller number than before. Think of this  you have 5 cookies, even spread across 5 plates. How many cookies are on 1 plate? 1.

babybritt002
 one year ago
Best ResponseYou've already chosen the best response.0omg i get it dw:1444175148409:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Exactly! :) These sort of tables are always helpful when doing math with units and converting them.

babybritt002
 one year ago
Best ResponseYou've already chosen the best response.0thanks please stay online haha i kinda get it now.

whpalmer4
 one year ago
Best ResponseYou've already chosen the best response.1\[1000 \text{ mL} = 1 \text{ L}\]As one of the other posters mentioned, we have L but want mL. Divide by the unit we don't want: \[\frac{1000\text{ mL}}{1 \text{ L}} = \frac{1\text{ L}}{1\text{ L}}\] \[\frac{1000\text{ mL}}{1 \text{ L}} = \frac{1\cancel{\text{ L}}}{1\cancel{\text{ L}}}\] \[\frac{1000\text{ mL}}{1 \text{ L}} =1\] We can always multiply something by \(1\) and we just get the same thing back. This is a special version of \(1\) that will allow us to convert units. \[22.4 \text{ kg/L} = \frac{22.4\text{ kg}}{1 \text{ L}} = \frac{22.4\text{ kg}}{1\text{ L} * (\frac{1000 \text{ mL}}{1\text{ L}})} = \frac{22.4\text{ kg}}{1\cancel{\text{ L}} * (\frac{1000 \text{ mL}}{1\cancel{\text{ L}}})} \]\[=\frac{22.4\text{ kg}}{1000 \text{ mL}} = \frac{0.0224\text{ kg}}{\text{mL}}=0.224 \text{ kg/mL}\] By doing it in this fashion and carefully canceling units, you get builtin errorchecking. If the units end up weird, you've almost certainly done it incorrectly.

Hero
 one year ago
Best ResponseYou've already chosen the best response.0@babybritt002 Was this approach helpful for you at all?
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