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I need to show my work on every problem at least, I don't really understand what to do though.
how do we know the distance between 2 things?
i dont know how your material does it, but id at least get them all speaking the same term ... the lowest exponent
.176 x 10^(14+4) -> 1760 x 10^4 22.13 x 10^(14+2) -> 2213 x 10^4 31.42 x 10^(14+0) -> 31.42 x 10^4 125.5 x 10^(14+1) -> 1255 x 10^4 now its simpler to compare the distances
bah, all those are 10^(14) not 10^(4) .... minor typo, but the rest is correct
So with that.. do I work them out? Sorry if I'm incorrect, I'm still a bit confused.
ideally yes, or logically we can conclude that 31 is not going to be closer to any of the others by default we can then average the low and high that remains to see where the middle falls .... (2213+1255)/2 = 1734 the middle is on the high side of 1734 so we have our closest starts
part 2 is just listing the starts by order of distance, and 3 is explaining your work
but the thing is, my thought process is not going to conform to the method your material expects of you ... so this is just something that would work from my head
So our closest stars would be... 1760 x 10^4 and 1255 x 10^4 ? ( AKA, Star A and Star D?)
work your process A-B A-C A-D B-C B-D C-D
22 and 17 are the closest to each other
I see, but for question one (Which two stars should she adopt?) the answer would be Star A and D? Or am I answering that question wrong?
she want the 2 stars that are the closest to each other ... i see that as A and B
when we take the midpoint of 12 and 22, we get 1734 if 1734 is the middle point, then 1760 is closer to the high side then the low side
Oh okay I see now
the key to me is to get them speaking all in the same 10^(14) formats so that all we do is compare the multipliers
for a general proof, spose we have 2 numbers a x 10^n and b x 10^n subtract them a x 10^n - b x 10^n factor out the common 10^n 10^n (a - b) the difference is determined by a and b, and not the base 10 stuff
if we let them all speak in terms of 10^(14) then the rest is just working with the multipler parts and we can ignore the 10^(14)
since 31 is clearly not anywhere near the other 3, its immaterial to us by taking the midpoint of the remaining extremes, we can judge were to place the inbetween value ... (2213 + 1255)/2 = 1734 so we know that inbetween value will fall to one side or the other, and be closer to that side 1255 ... 1734 .... 2213 ^ 1760 by default, the 17 and 22 are closest to each other
how you express this the way your material wants you to .... i got no clue tho
you write it up i terms you comprehend and ill review it for you