My Grocery shopping was exactly $40.00
My Grocery shopping was exactly $40.00
I didn't have a budget or anything so I found it mildly interesting that it turned out an even number.
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Am i being stupid....how does 10 numbers ending in 9 end up ending in 0?
I know it works, ive added it up myself but it shouldn't work should it?! Am i going crazy?!
9*10=90 Ends in 0.
Ffs how did i not think about that!! Haha! Thanks!
Yes but how
Literally any time you do anything like
10 × nit will end in a zero. All multiples of ten end in zero.Same with
100 × n: it will always end with 00.Yeah i was hung over and tierd and my brain just wasnt working. You wont believe me but i actually used to be pretty good at maths in school, but that was a while ago now.😅
if it makes you feel any better, I did a couple semesters on math college plus a couple years on computer engineering and recently went to a therapist... When they asked me how old I was, I couldn't calculate my age for the life of me
I stayed about 2 fucking minutes trying to calculate it... And in the end it wasn't even the right age lmao
Wait until you find out 0,99... (repeating nines forever) equals 1
Ten number ending in 9 is essentially the same as those same ten numbers but ending in zero plus ten nines.
$1.19 = $1.10 + 0.09
$1.19 + $1.69 = $1.10 + $1.60 + (2 * 0.09)
Since there were 10 items, each ending in a 9, that's the same as 9 times 10, or in this case $0.09 * 10. Every time you multiply by 10 you end up with a zero on the end.
In a base 10 system multiplying by 10 basically shifts all the digits over by 1 and adds a zero to the end. Whatever was in the 10s spot goes in the 100s spot. Whatever was in the 100s spot goes in the 1000s spot, and so on.
So, if you buy 10 items with a 9 at the end of their price, you'll always end up with a zero in the cents spot. If you buy 100 items like that, your total will be in dollars with zero cents.
What's more impressive here is that so many of the other digits ended up as zero when there was no pattern. Ten items ending in '9' means that you carry over a '9' to the next column, but to get that to be zero means the sum of all the tens (of cents) digits needed to end up in a 1.
1 + 6 + 9 + 4 + 9 + 9 + 6 + 6 + 2 + 9 = 61
And to get to exactly 40, the dollars digits needed to match that 6 plus 1 carried over (1 + 9), so they needed to end in 3 (or to be 33 exactly for the total to be 40):
1 + 1 + 6 + 5 + 3 + 3 + 5 + 5 + 3 + 1 = 33
Ignoring the fact that grocery stores suck and price things ending in 9 all the time, it's a 1/10 shot to get the cents digit to end up as a zero, a 1/10 shot for the hundreds to end up as zero, and 1/10 for the dollars digit to end up as a zero. OP just used up a lifetime of luck for a 1/1000 occurrence.
To OP: GG Cheese!
Dang, thanks for doing that math! That's super interesting.
Thanks for your more than mildly interesting post.