@Mike__B
The physics teach in me says "Well how many decimals of accuracy do you need? round it to that"
@andymerrett
Love that this is answered in the first minute with no faff, but then we get extra value with the rest of the video.
@Blackrobe
5:19 sound of crickets in the background to add into the suspense
@SharienGaming
this also illustrates that these infinitely repeating decimals essentially are just a bug in the number system - there simply are numbers that the system can not represent properly without using proper fractions and the funny thing is, those can be different based on the base of the system - for decimal 1/3 or 1/9 are such cases in base 12 for example 1/3 would simply be 0.4 and 1/9 would be 0.14 on the other hand 1/10 which is just 0.1 in base 10 would be 0.0_0011_ repeating in base 2(sorry cant do the proper notation here, so i used underscores to indicate the repeated section)
@knightcrusader
I never noticed the stockpile of dry erase markers in the shelf before. Bro is keeping Expo in business himself. He's ready to do math videos for years.
@PSP_24
I first learned this with geometric series, but seeing the Algebra was more mind blowing. Its so simple, yet I probably wouldn't have thought to do that in a million years
@tonypapas9854
Shout out to the cricket......studying to be a math major 🤣🤣🤣
@mathieucuny8872
Oh ! And in hexadecimal, it would be divided by F. Because it's always 10 - 1, no matter the base. (Or 100 - 99, etc...)
@mattjenn
Had to watch multiple times. First I was distracted by counting how many boxes of EXPO markers you had. Then I was laughing about the "common ratio" spelling incident. Then the cricket... extremely informative and hilarious! Thank you!
@vencik_krpo
Figured that out when I was about 15 and was playing with a calculator. You can easily do any periodic number. E.g. let's say that you want to have 0.12341234... That's just 1234/9999. Want to add some 0s? 0.032032032... = 32/999. 0.12001200... = 1200/9999. Generally speaking, just divide the periodic part with 10^n - 1 where n is the number of digits of the periodic part (including possible leading 0s).
@dansidney
I think it could've been good if you also tried to cover scenarios where there's both repeating and not repeating numbers after the decimal place (such as 0.1737 with 37 repeating). It's trivial to explain but it catches a lot of people offguard.
@seanwilkinson7431
5:40 bro's hand got possessed by ChatGPT.
@theonlymegumegu
5:37 i love the plot twist of the math guy having trouble with words XD thank you for leaving that in ^_^
@nmatsaba2383
Wow, this is so beautiful. The way you connect those concepts has sparked my love/interest for the subject again.
@LordHonkInc
Never considered this question, and understood the answer in seven minutes. Nice
@angelowentzler9961
That look after writing those m's and then "ratior" is worth a lot of money :) it proves you are human after all!
@Sniru
Make sure to simplify your fractions. For example, 3/7 is 0 followed by 428571 repeating, but when we use the trick of taking 428571/999999 we'll need to divide the numerator and denominator by 142857 to get 3/7.
@dlbattle100
Great refresher. I knew that repeating decimals were rational but I had forgotten how to handle them.
@Blackrobe
I forgot about or havent watched bprp's 0.999=1 video, but I realize that geometric series method can be used to prove that 0.999=1 thing the same way.
@bprpmathbasics