Can someone help me with this question pls is it just trial and error if so I’ve found 4 solutions do you think that’s all of the possible solutions?
#Maths trial and error?
fallow jolt
hollow zephyr
Ummm
It seems like trial and error
But I think there might be a better way
Idk sry
left geode
Can someone help me with this question pls is it just trial and error if so I’ve...
The order of the digits doesn't change, which restricts our options considerably.
This is basically saying that we have 47.5 * 10^a + 38.627 * 10^b + 125.4 * 10^c + 1583.3 * 10^d = 4508.57 * 10^e, with a, b, c, d, e in Z, that is, integers.
Of note is that the final solution has six significant digits, whereas the most any of the summands has is five.
We should look first to the extreme digits of the solution, 4 and 7.
How many ways are there to sum the extreme digits of the summands to yield those digits?
left geode
This is basically saying that we have `47.5 * 10^a + 38.627 * 10^b + 125.4 * 10^...
Also, one of a, b, c, d, e is 1.
fallow jolt
What do you mean by x10^e? Did you mean Eulers number
hollow zephyr
How many ways are there to sum the extreme digits of the summands to yield those...
wait what?
u mean the total combo that we can make with switching the decimal places?
left geode
What do you mean by x10^e? Did you mean Eulers number
...I mean some integer e.
I said as much.
left geode
u mean the total combo that we can make with switching the decimal places?
I do not.
hollow zephyr
oh
hollow zephyr
How many ways are there to sum the extreme digits of the summands to yield those...
wait idk what u mean by that?
left geode
wait idk what u mean by that?
You're not OP.
hollow zephyr
i was just trying to solve it 😅
left geode
I don’t understand 😅 sry
Okay. The only way to get a 7 in the last digit is for the sum of all the digits in the last place to be 7, right? So how many ways are there of doing that?
fallow jolt
Is that before moving the decimal places or after?
left geode
Is that before moving the decimal places or after?
After. Or more accurately, it doesn't matter. That's why I'm not talking about the nth decimal place, I'm just talking about the order of the digits.
fallow jolt
Ohhh okay ty
misty grotto
i would suggest considering how you would create the starting digits of 45
left geode
It's just trial and errorthen, no?
No. Also, you're not OP.
hollow zephyr
😭
we r working together bro 😭
@fallow jolt tell him bro 😭
@left geode how do u approach this q then?
fallow jolt
@left geode we are working together
@left geode could you pls help me and lmk how to approach the question
left geode
<@352737152154468352> could you pls help me and lmk how to approach the question
Did you follow what I was saying before?
hollow zephyr
how is checking last digits gonna work?
do we not need to check for other digits too?
left geode
It's a first step.
fallow jolt
Yes but I don’t rly understand how to do it since u have to add all of them how is it possible to get more than one
Solution
Since u can only add all of them together once
The last digit won’t change
It will stay the same
left geode
It will.
It will change.
Depending on where you place the decimals.
Because the last digit is the sum of the last digits of the things you're adding.
That is, the digits that are in the same place as the last digit of the answer.
If you move the decimal place, a different digit is in that place.
left geode
What's 2 + 3?
hollow zephyr
5
left geode
What's 2 + 0.3?
hollow zephyr
2.3
left geode
See the difference?
fallow jolt
Once I’ve found the specific arrangement of numbers that add together to give 7 as last how will it help later
hollow zephyr
it's still kinda trial and error tho right?
left geode
<@352737152154468352> won’t this give me four possible ones
,rotate
signal rivetBOT
left geode
...it's a bot command to rotate a picture so I don't have to tilt my head.
fallow jolt
Mb 😭
left geode
Anyway, now we have to recall the original question; there's exactly one decimal place in the original presentation that's in the correct place.
fallow jolt
Yes and each of those 4 have one that is in the correct place (the number that is underlined)
Do I have to keep switching them now until I find more
left geode
It also says "find all possible ways to alter the four incorrect decimal places", so I think you're supposed to do five cases, each one leaving one decimal place in, er, place.
left geode
<@352737152154468352> won’t this give me four possible ones
Wait, (3) has 2 unchanged.
fallow jolt
Oh yeah
left geode
I'm comparing them.
fallow jolt
Okay
left geode
Is that wrong then
That one would be wrong, yes.
fallow jolt
👍🏿
fallow jolt
So all I do is shift the decimals one by one and add them all until I get 4508.57
left geode
Not quite.
Look, this is easier if you just use scientific notation.
Actually, this is way easier in scientific notation.
4.75 * 10^a + 3.8627 * 10^b + 1.254 * 10^c + 1.5833 * 10^d = 4.50857 * 10^e```.Literally all you have to do is take the largest term on the left that's less than what's on the right, assume the powers of 10 match, subtract, and repeat.
Here we get b = e, a = e - 1, d = e - 1, and c = e - 2.
Or, in terms of a, b = a + 1, c = a - 1, d = a, e = a + 1.
And when the term on the left gets less than 1 * 10^e, you just subtract from the power of 10.
hollow zephyr
Literally all you have to do is take the largest term on the left that's less th...
wait wait i don't understand this step
@left geode
left geode
wait wait i don't understand this step
Is 4.75 < 4.50857?
hollow zephyr
no
hollow zephyr
yes
left geode
mb didn't read the q
...why would you even try to answer a question you haven't read?
hollow zephyr
nooooo
left geode
...do you get it or do I need to keep going?
hollow zephyr
no 😭
left geode
Okay.
Ignore the multiples of 10.
Ignoring those, what's the greatest term on the left that's less than the term on the right?
left geode
What do you even mean by that?
hollow zephyr
like 3.8627 or 38627
left geode
...which one is in the equation?
left geode
```
4.75 * 10^a + 3.8627 * 10^b + 1.254 * 10^c + 1.5833 * 10^d = 4.50857 * 10^e`...
This equation?
left geode
...if you like.
Wait.
You haven't clearly enough communicated what you're actually doing.
hollow zephyr
we were thinking of trial and error...
but i think there might be an efficient way
so we asked help
@left geode
left geode
You're not good at this "clear communication" thing.
left geode
so u want me to arrange each num in ascending order?
What exactly does this mean?
hollow zephyr
4.75 *10^a + 3.8627 * 10^b ...
left geode
4.75 **10^a + 3.8627* * 10^b ...
Use. More. Words.
hollow zephyr
yk how 4.75 > 3.8627?
i thought u said we need to put the largest number in the left to the smallest in the right
but nvm
idk how that's useful
left geode
...do you know how subtraction works?
hollow zephyr
yes
left geode
What's the biggest thing on the left that you can subtract from the right and still have the answer be positive?
left geode
The right of the equation.
hollow zephyr
ohhhhh
left geode
This is literally all about the EQUATION.
left geode
What. Is. The. Equation?
hollow zephyr
4.75 * 10^a + 3.8627 * 10^b + 1.254 * 10^c + 1.5833 * 10^d = 4.50857 * 10^e```.Stop guessing.
left geode
```
4.75 * 10^a + 3.8627 * 10^b + 1.254 * 10^c + 1.5833 * 10^d = 4.50857 * 10^e`...
What are the terms on the left of the equation?
hollow zephyr
4.75 + 3.8627 + 1.254 + 1.5833
left geode
No.
hollow zephyr
all times it by 10 ^ a or b or c...
hollow zephyr
💀
😭
what r u even saying
u asked me for what's in the left side of the equaltion
like the terms?
or did u mean the exponent?
like a, b, c or d?
@left geode
left geode
I said I can't right now.
hollow zephyr
whyyyyy
left geode
I said why.
fallow jolt
Have u alr solved it?
hollow zephyr
@left geode
left geode
Stop bothering me, I cannot help you right now.
left geode
Have you heard of patience?
hollow zephyr
ye but i don't think i have it rn
😭
im stuck at this q for more than 3 days
and i NEED to solve it today
left geode
Have your friend who actually pays attention read over everything I've said so far and explain it to you. If they need help, I'll help them.
fallow jolt
Okay
fallow jolt
Okay so yk how he said on the left and subtract from right but keep positive
That would be
hollow zephyr
ye...
fallow jolt
4.75-1.5833
fallow jolt
Mb he said farthest left and right
hollow zephyr
😭
fallow jolt
Then after that he WAS gonna explain until u annoyed him 🤦
fallow jolt
Yes because I’m not the help I’m the one who asked the q
hollow zephyr
Yes because I’m not the help I’m the one who asked the q
no i was gonna ask it but u said u were gonna ask it
left geode
4.75 * 10^a + 3.8627 * 10^b + 1.254 * 10^c + 1.5833 * 10^d = 4.50857 * 10^e
An equation has a left side and a right side.
fallow jolt
Okay so 4.75-4.50857
fallow jolt
Ohh
left geode
Yes.
fallow jolt
Ohhhhhh
left geode
how is that gonna help to solve this q tho?
How is it not?
What's the biggest thing on the left?
hollow zephyr
on the left?
ummmm
4.75 * 10^a
it also depends on the valued of the a tho
@left geode
left geode
Stop. Pinging. Me.
left geode
it also depends on the valued of the a tho
Ignore that part.
hollow zephyr
Stop. Pinging. Me.
oh mb 😭
hollow zephyr
Ignore that part.
oh then it's 4.75
left geode
If you subtract that from the right, will the answer be positive?
hollow zephyr
no
left geode
If you subtract that from the right, will it be positive?
hollow zephyr
yes
left geode
That means b = e. Do it. What do you get?
hollow zephyr
That means `b = e`. Do it. What do you get?
wait wait how?
left geode
wait wait how?
...you're asking me how to subtract?
hollow zephyr
ummmm wait lemme read thru it
left geode
ummmm wait lemme read thru it
Do that before you bug me with questions.
hollow zephyr
but what if e = 2 and b = 1? u still gonna get postive right?
left geode
Then our equation is false.
Don't overthink it, this is just a more efficient version of the "how do you get the first digit" thing.
hollow zephyr
?
fallow jolt
I'll explain it to them, but you don't listen well enough.
👋
fallow jolt
Okay
Oh wait so r u saying that the x10^b is also equal to the x10^e since the right when it’s subtracted from the left that’s the highest possible number to get a positive?
left geode
Oh wait so r u saying that the x10^b is also equal to the x10^e since the right ...
...I guess I might be saying that.
fallow jolt
Oh okay
left geode
Or at least what you meant by that.
fallow jolt
Yeh
Am I on the right track
Then do u assume numbers for a, c, and d and then do u find the right combination for a, c, and d to reach 0.64587
@left geode
Oops sry mb
Just saw the stop pinging now
left geode
Why assume e = 0?
left geode
<@352737152154468352>
You can, but your friend is way too much for me right now.
fallow jolt
Oh okay
fallow jolt
Why assume e = 0?
I didn’t know how else to approach it
left geode
The right side is still multiplied by 10^e, and now you need to multiply/divide by 10 to get it to 6.whatever * 10^(e - 1). Keep it in proper scientific notation.
left geode
...no.
left geode
That’s the only subtraction I did before
I'm talking about doing the process you did before.
fallow jolt
Oh okay
left geode
what happened here
Low blood sugar, like I said.
bleak stone
Low blood sugar, like I said.
👍
misty grotto
Low blood sugar, like I said.
please eat something
bleak stone
yeah, do what micabo said.
hollow zephyr
like fed up with me
left geode
please eat something
I have. Not enough, yet, but I did eat something.
misty grotto
why would they joke about low blood sugar
misty grotto
Who joked abt it
nobody
left geode
prioritize your health over this, please
I was trying to, but the other person in here was annoyingly insistent.
hollow zephyr
@small bison
An escalator goes round and round, the number of steps remain constant.
The only clue is 60 steps and 42 steps, which is 51+/-9, so 102 steps altogether with 51 above and 51 below.
This is what he got^^^
@small bison
left geode
An escalator goes round and round, the number of steps remain constant.
The onl...
Start a new thread.
hollow zephyr
Oh Kk
fallow jolt
.
fallow jolt
can u help us finish the question
We have found 4 solutions
@misty grotto
These r the 5 solutions we found r they right
hollow zephyr
@misty grotto
hollow zephyr
i think there's only 3 solution
hollow zephyr
one more time and i block both of you
noooooooooooooooooooooooooooooooooooooooooooooooooooooo plsssssssssss
noooooooooooooooo
im sry
it's just that we r in an urge
we NEED to finish this q today
😭
misty grotto
it would be helpful if the information concerning the question wasn’t split across seven different threads
it would also be helpful if you were slightly competent, but i suppose you can’t help that
misty grotto
were you going to provide me with the question from which it came?
or do you want me to guess from your working out
oh it’s still the same one
i told you there were 3 already
and why are you in this thread
hollow zephyr
*and why are you in this thread*
idek 😭
hollow zephyr
i told you there were 3 already
only three right?
misty grotto
i left because i thought you already had the answer but then it turns out you drastically mess up whenever left unsupervised for two minutes
hollow zephyr
😭
hollow zephyr
i left because i thought you already had the answer but then it turns out you dr...
i think i have the answer but just need u to confirm it
misty grotto
i think i have the answer but just need u to confirm it
you do not; there are three answers and you have 4 or 5
hollow zephyr
i think there's only 3 solution
^^^
i'll send them now
oh the first one and the 5th one are not the solutions
right?
misty grotto
yes
fallow jolt
Could u pls explain the positioning method again but rly simply
small bison
i left because i thought you already had the answer but then it turns out you dr...
dang micabo
i mean understandable but dang
misty grotto
Could u pls explain the positioning method again but rly simply
it took me more than an hour last time and i’ll be damned if i willingly do it again
read through #1300533980122189965 or ask your friend (and check that they understood the explanation)
left geode
read through <#1300533980122189965> or ask your friend (and check that they unde...
Their friend is worse than they are.
misty grotto
dang micabo
three pings from the same person for the same reason trying to summon me like some low-tier math demon while i was sleeping, then at least two more between the two of them when i woke up and decided that i had better things to do than interact with people on discord
misty grotto
Their friend is worse than they are.
their friend at least has the correct answer
fallow jolt
My friend is offline and I’m pretty sure he just got the answer by shifting it i wanna know like the method just summarised
So we aligned the numbers then shifted the decimal to get the final number
And like how did u know where to put the numbers in how did u arrange them
bleak stone
three pings from the same person for the same reason trying to summon me like so...
good job
fallow jolt
Ik it was to get a correct answer at the end so it would all equal to the final number but then isn’t that just trial and error if u have to keep moving them around to find out which is correct
@helpers pls help us
hollow zephyr
someone pls help
it's urgent 😭
im now not even allowed to ping anyone 😭
pls help
im dying here
it's 3 in the morning
plsssssssssssssss help
im beggin
left geode
it's 3 in the morning
Go to sleep.
hollow zephyr
no i rly can't bcuz im soooo close to finish this q
just summarise how u arranged those num to get 450857
that's all i need
it doesn't even have to be a long explanation
plssssss
left geode
no i rly can't bcuz im soooo close to finish this q
Go. To. Bed.
left geode
just summarise how u arranged those num to get 450857
I literally explained from beginning to end the process.
If you don't know it, it means you weren't listening.
Fortunately, this is a text medium with a log of interactions.
So go back and read it again.
Or just go to bed.
That's the better option.
But then, if you were smart enough to take the better option, you'd also be smart enough to listen the first time you're told something.
hollow zephyr
i did can u pls summarise how u arranged those num in the right way to get 450857
hollow zephyr
But then, if you were smart enough to take the better option, you'd also be smar...
😭
hollow zephyr
i did can u pls summarise how u arranged those num in the right way to get 45085...
it does'nt have to be long
pls 
left geode
i did can u pls summarise how u arranged those num in the right way to get 45085...
The trick to arranging them the right way is to not arrange them in the wrong way. Now go to bed.
hollow zephyr
💀
left geode
Another trick is to know the right way, and then do it.
hollow zephyr
is it just trial and error then?
left geode
No.
left geode
I did. Yesterday. You didn't listen.
hollow zephyr
i didn't understand 😭
left geode
Because you didn't listen.
hollow zephyr
pls atleast two lines
left geode
pls atleast two lines
If you didn't listen the first time, why should I tell you a second time?
left geode
Still, what's going to be different a second time?
hollow zephyr
maybe i can get it this time
but summarise in a diff way than u did b4
so i'll get it this time
left geode
No.
hollow zephyr
bro u spent a lot of time refusing to summarise
u coul'dve used that time to summarise
😭
left geode
Take "no" for an answer.
left geode
Take "no" for an answer.
hollow zephyr
if u r a helper why not help bro
left geode
if u r a helper why not help bro
I did. You didn't listen.
hollow zephyr
ok ur no help to me bro
left geode
You do understand that I'm a volunteer, right? I'm here doing this for free. I'm not your math slave.
hollow zephyr
i didn't understand the way u taught yesterday
hollow zephyr
You do understand that I'm a volunteer, right? I'm here doing this for free. I'm...
kk but im asking other helpers too
left geode
kk but im asking other helpers too
And they're all getting tired of you.
Because you treat them all like your math slaves.
hollow zephyr
i don't bro 😭
all i did was ask q when i don't understand
this whole conversation couldve been over like 10 mins ago 💀
left geode
You pinged us incessantly. You don't respect our time. You think we have nothing better to do than sit in a channel at your beck and call and walk you through the same problem fifty times in a row all day.
hollow zephyr
alr then if u can't explain it to me it's fine
i'll close the thread
😥
😭
+close
fallow jolt
I got upto this bit
But then ur blood sugar went low (hope ur feeling better now) and we both got stuck sorry for the unnecessary pinging and explanations u had to give tysm for how far you have helped us
misty grotto
Ik it was to get a correct answer at the end so it would all equal to the final ...
#1300533980122189965 i actually had a whole logical method in here that i explained, there was barely any trial and error involved
i had already linked it to you
misty grotto
i did can u pls summarise how u arranged those num in the right way to get 45085...
i’m actually done with you
bleak stone
please refrain from saying things like this again.
cyan plankBOT
@fallow jolt