Add the Numbers from 1 to 100 like a 5-Year-Old! The Story of Gauss | Minute Math

Add the Numbers from 1 to 100 like a 5-year-old! The Story of Gauss. When Carl Frederich Gauss was a child he was asked to sum all the natural numbers from 1 to 100. He did this in a few seconds. I go over how he did it and how this can be applied to the sum of all consecutive integers. #Gauss #sumofintegers #minutemath #funmath #coolmath #numbertheory #mathematicians #mathhelp #math #lightboard #mathhelp #mathvideos
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[@velkapoika1716]

That video was good

[@MinuteMaths]

Thanks!

[@linyenchin6773]

​@@MinuteMaths every 3 to 11 seconds the creature in the video gasps through its mouth. It gets bad when it chains gasps together such as 1:28 to 1:52, it us every 3 seconds and even every other word about halway through. The creature has no sense of hiw to optimize its central nervous system and its causing harm to mine via me trying to listen to its point beyong the frequent gasping... give the beast a bottle of oxygen!! Can you fix it so that it becomes Human aka using silent and nostril exclusive flow of breath?

[@linyenchin6773]

​​@@MinuteMathsthat nastiness it does with its lips and tongue is extra frustrating. You can hear it at 1:53, mouth-breathers use that as an audible exlamation point and moment to pause so they can cath their breath, breath lost ONLY due to the faulty and defenerare nature of using the mouth for breathing... The creatures are so disgusting and stupid, this is why they remain mere intellectuals instead of becoming Human~Sapient.

[@linyenchin6773]

​@@MinuteMaths it really is excruciating abuse for me to extract information from this creature, it hurts like hell. This is no joke, my central nervois system is screaming for me to stop lostening but I must have this ability to summarize series of numbers or "consecutive numbers" and can not understand all that n and brackets shit Google gives: "By using Carl Gauss's clever formula, (n / 2)(first number + last number) = sum, where n is the number of integers, we learned how to add consecutive numbers quickly. We now know that the sum of the pairs in consecutive numbers starting with the first and last numbers is equal."

[@rerite2]

2 math tutors couldn't explain it to me but this video successfully did. Five gold stars.!

[@jellyriver8536]

wow I watched 3 videos and this one nailed it. thank you

[@JohnBender1313]

Okie doke. Now try adding all these numbers minus the first 10. What happens if you add all numbers from 20-100. It's a bit harder. There is another option. (N²/2)+(N/2). Take N as your final number and X as your starting number. ((N²/2)+(N/2))-((X²/2)+(X/2)). Thus formula works. Gauss' doesn't without extra factors as far as I know.

[@gruba4630]

I rather think Gauss solved this a slightly different way: he made 49 pairs (1+99), (2+98) ... (49+51) and added what's left : another 100 and a 50. So the solution is 50x100+50. For a ten year old it's much simpler and more intuitive calculation than 100x101/2. Real test would be if teacher gave them to add numbers from 1 to 91, for example, then I would be sure Gauss invented the formula.

[@SoyuzBot]

I think it's rather that he found out that there are 50 pairs of numbers that add up to 101, starting from (1+100), (2+99)....until (50+51) -- there are 50 pairs of these. So he multiplied 50 by 101 (50 x 101).

[@thomasnelson3030]

100% this is how Gauss did it. 0+100, 1+99....... etc so you end up with 50 pairs of 100 plus the middle 50 so 50*100+50

[@aLittlePal]

I’m not that smart, got twisted into wrong direction, was trying to come up with a cleaver way to deal with this cumulative additive plus one plus one plus one situation, turns out it is not it, there are other way more superior ways to calculate this problem

[@chillyskamo4947]

It's kinda funny but. Strangely enough I didn't know about Gauss! I wasn't formerly introduced to him properly. After some years away from mathematics, I have found myself back in studying again. But yet again, I haven't come up with a number.

[@real_pancho9852]

Gauss rhymes with house, sir.

[@gisselgomez4589]

❤ thanks

[@MinuteMaths]

Thanks!

[@aradhyajesusia7479]

gret video sorry for bed english im from finland

[@homerwoltman7406]

Great* Bad* I'm * It's better to know your mistakes 🤗

[@Komeiji0401]

Turns out you could also apply the same logic with different ranges! For instance, if we want to find the sum of 5 to 10, we can think of it similarly to Gauss' sum pairs: 5+10=15, 4+11=15, 3+12=15...1+14=15. There about 5 pairs that sum up to 15! We will find the following partial formula: (n1+n2)/(n2-n1) where n1 is the first number and n2 is the final number. Afterwards, we'll have to add 1 pair to our 5 pairs to get 6 pairs (I assume because we'll have to include 0+15=15 into the mix) so (n2-n1) becomes (n2-n1) + 1. Finally, we will divide by two. So ((5+10)*((10-5)+1))/2 = 45. The complete formula is as follows: {(n1+n2)*[(n2-n1)+1]}/2. I know there is an already established quicker general formula for finding the sum of consecutive integers. This is just to show how to add consecutive integers using similar logic to Gauss' :)

[@johnkalas]

This is a nice video. However, at 2:08, you "complete" an equation that is just not true. The division by 2 cannot be done on just one side of the equation you started with. As a math teacher, I take great care not to write false things, and I encourage my students to avoid doing so.

[@parthsarathidixit5648]

the sum is also done twice so at d end we div by 2 to get the req result

[@duncblues]

Yes, I agree. It grates on me too.

[@TheHarryMann]

Goss ? It’s Gouse ! Like Strauss the musician Why do Americans have to pervert 3very pronunciation to man ? GAUSS like STRAUSS Ahhh! And don’t keep adding ‘out’ to the end of everything.

[@williamgeorgefraser]

(n² + n)/2. I worked this out on my own many years ago. I used to wake up early in the morning and think about mathematical problems. Have you ever tried multiplying 123456789 by various numbers and seen the results? Apart from 3,6 and 9, the results are astounding.

[@linyenchin6773]

Too many tangents and your freequent gasping just pisses me off. It is always a pain to try learning from an intellectual aka mouth-breather, that's why I couldn't learn math after grade 7 or "7th grade" for you in the U.S.A.