[Video] Q6: A hospital stores one type of medicine in 2-decagram containers. based on the information given in the box above, how many 1-milligram doses are there in one 2-decagram container?

Explanation for Question 6 From the Math (Calc) Section on the Official Sat Practice Test 1

So number six tells us that a hospital stores, 2 one type of medicine into death, 3 gram containers, and based on the information in the box above. 4 So right here, how many, one milligram doses are there in one, 5 two deputy gram container. So really what we're trying to do is unit analysis. 6 We're trying to change units. We're trying to go from two DECA grams to 7 how many milligrams. And so we see that one DECA gram it's 10 grams. 8 So let's start there first off, we know that we have two DECA grams, 9 right? And so if one DECA gram is 10 10 grams, then I can write the conversion like this. 11 Since my goal is to get rid of the DECA grams unit and change 12 it to a different unit. What I'm going to do is I'm going to 13 try to cancel out the DECA grams unit. 14 And by doing that, I need to put DECA graves on top. 15 And one fraction. We could think about that as being over one right here. 16 And I'm going to put DECA grams in the bottom on another, 17 because if something is in the bottom and the top of two different fractions, 18 they cancel out. So what we can see here is that I'm now converted 19 my units to grams, but I don't want grams. 20 Right? I want milligrams. And so that's why they gave us the second conversion 21 so I can convert the grams into milligrams. 22 And so now I see I'm trying to get rid of the grams units 23 and I'm trying to introduce a milligrams units. 24 Now, if I want to get rid of grams, I need grams to cancel, 25 which is why. If I have grams in the numerator right here, 26 I want one gram in the denominator, 27 in my next fraction so that my grams will cancel. 28 And we know that one gram is a thousand milligrams. 29 So now we can see that my DECA grams have canceled. 30 My grants have canceled and I'm left with the milligrams, 31 right? And now I just have to multiply across. 32 Now two times 10 is 20 and 20 times 1000 is 20,000. 33 So our best answer is going to be de.