TBR Gen Chem I Phase I #19

[Tbrquestions]

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I don't understand the math, 4/2.5 > 106/100. Well I realize why it is larger I just don't understand why this math was used or how exactly it helps find the answer.

 

[rabbott1971]

Need a better image of the text, and also an image of the question and potential answers. You can post more than one image.

 

[esob]

Their math usage here is wonky, just do long division. By the time you hit the first decimal point it is easy to see which is bigger. It takes longer to set the two sides equal and do the comparison while trying to keep everything straight than it does to simply divide out two numbers.

 

[Swagster]

What is wonky to one person is a cool trick to another. I love the way they show these tips. Basically, adding 4 to 106 has a greater impact (percentagewise) than adding 2.5 to 100. So when comparing 110/102.5 to 106/100, we know that the numerator went up by more than the denominator (proportionally speaking), so 110/102.5 > 106/100. This allows us to avoid long division.

I personally would have said that 110/102.5 = 1 + 7.5/102.5 and that 106/100 = 1 + 6/100. We can see that 7.5/102.5 (about maybe 0.073 or so) is greater than 6/100 (.06).