BetterExplained
betterexplained.com › articles › techniques-for-adding-the-numbers-1-to-100
Techniques for Adding the Numbers 1 to 100 – BetterExplained
And we’re back to our original formula. Again, the number of x’s in the pyramid = 1 + 2 + 3 + 4 + 5, or the sum from 1 to n. ... So let’s figure out the sum. If we have 100 numbers (1…100), then we clearly have 100 items.
Reddit
reddit.com › r/pointlessstories › sum of all numbers 1 to 100
r/PointlessStories on Reddit: Sum of all numbers 1 to 100
September 15, 2024 -
When I got to junior high school at about 11 years old, I had transferred from the same school, from a poor neighborhood to the smart kids' school, because I had high scores on school district-wide testing.
On the first day, I had math class in third period. The teacher had an activity for us, and he explained about a mathematician who was in his math class as a child. He said that this mathematician, as a kid, was asked to add all the numbers from 1 to 100 along with his class... Just as were we going to be challenged with today. The story went that this mathematician was the only kid in his class to use a formula rather than add each number individually, he said.
I thought, cool, and I figured out a formula in that moment: If you take the first number, 1, and the last, 100, that's 101. And if you take the second number, and then the second-to-last number, that's also 101. This pattern should continue...
...So I wrote down: 101*50 = 5050.
The teacher came by and saw the equation and smiled. "Ahh you have heard of this before," he said.
"No, I just thought of it right now!"
He nodded with a grin, saying, "Sure you did," and he walked away.
Top answer 1 of 5
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Lol, unfortunate but good for you tho, it's a nice one. Was it like Aristotle, Euclid ? I vaguely remember doing that same thing at university but can't remember who it was about
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I did that too lol. Only I imagined the whole row of numbers folding in half down the middle, leaving a double row of 50 numbers, each pair adding up to 101. We are smart.
Why is the sum of the natural numbers from one to one hundred is 50 times 101?
1+2+3+...+98+99+100 can be rearranged with the commutative and associative properties to (1+100)+(2+99)+(3+98)+... 1+100 is 101 2+99 is also 101 3+98 is also 101 ... So you have a bunch of 101s you're adding. How many? 1+100 is the first 101 ... 50+51 is the last 101 You have 50 of them More on reddit.com
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March 27, 2023How did Gauss supposedly add the numbers from 1-100? Using this method, can you add only the odd numbers between 1-101?
Try writing out the first few terms, and see if you notice a pattern. There is a nice answer! Then think about what happens if you try to group numbers into pairs the way Gauss did. More on reddit.com
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June 12, 2012Sum of all numbers 1 to 100
Lol, unfortunate but good for you tho, it's a nice one. Was it like Aristotle, Euclid ? I vaguely remember doing that same thing at university but can't remember who it was about More on reddit.com
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September 15, 2024Why is it that, if you add any sequence of numbers like this (1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1), the sum is always the square of the largest number?
A single line break will make it obvious that it's N times N: 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 1 2 3 4 5 6 7 + + + + + + + 8 7 6 5 4 3 2 1 More on reddit.com
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December 1, 2015Videos
02:17
Adding the numbers from 1 to 100 (Gauss' Method) - YouTube
What is the sum of 1 through 100? (finding the formula) - YouTube
Sum from 1 to 100? EASY!
03:17
The Genius Trick Gauss Used to Add Numbers 1-100 in Seconds! - YouTube
03:10
Add the Numbers from 1 to 100 like a 5-Year-Old! The Story of Gauss ...
Quick and Dirty Tips
quickanddirtytips.com › home › how to quickly add the integers from 1 to 100 – part 1
How to Quickly Add the Integers From 1 to 100 - Part 1
March 20, 2025 - Which means that the sum of all the integers from 1 to 100 must be equal to 50 x 101 = 5,050. It’s as easy as that! So, what do you think of this old-school quick and dirty tip? Pretty cool, right? As far as I’m concerned, doing 1 multiplication problem is a lot better than 100 addition ...
Krista King Math
kristakingmath.com › blog › how-to-add-1-through-100-quickly
How to add 1 through 100 quickly — Krista King Math | Online math help
October 27, 2020 - If you’re adding the numbers 1-n, the quick trick is to use the formula (n/2)(n+1). So if for example you’re trying to add up all the numbers 1-64, then you know right away that the sum of all those numbers is (64/2)(64+1)=32*65.
Quora
quora.com › I-want-to-add-numbers-from-1-to-100-Is-there-any-formula-or-shortcut
I want to add numbers from 1 to 100. Is there any formula or shortcut? - Quora
Answer (1 of 4): Yes just cut the numbers into two parts And group them Like 1 and 100 one group , 2 and 99 another , 3 and 97 and so on now you will get 50 such groups and the sum of each group is 101 therefore sum = 50 x 101 =5050 is the sum ...
Study.com
study.com › courses › math courses › math for kids
Finding the Sum of Consecutive Numbers - Lesson | Study.com
August 19, 2017 - Find the sum of the consecutive numbers 1-100: (100 / 2)(1 + 100) 50(101) = 5,050 · To unlock this lesson you must be a Study.com Member. Create your account · Take a look at this diagram to help you visually understand what the formula is saying.
BetterExplained
betterexplained.com › articles › how-to-add-1-to-100-using-calculus
How to Add 1 through 100 using Calculus – BetterExplained
Intuitively, the integral is ... up things following the $f(x) = x$ pattern and you end up with $\frac{1}{2} x^2$. Well, let's see: the actual sum from 1 to 100 is 5050....
Steemit
steemit.com › math › @mgaft1 › how-to-add-numbers-from-1-to-100-in-your-mind-in-30-seconds-or-less
How to add numbers from 1 to 100 in your mind in 30 seconds or less? — Steemit
September 6, 2016 - Let’s take series of numbers: 0,1,2,3,4,5…49,50,51…95,96,97,98,99,100 ... Notice that the sum of each column would be 100. All we have to do is to calculate how many of them. That’s 1 to 99 gives us 99 x 100 plus two 100’s on both ends. That will be 9900+200 = 10100 But since we added a second set at the beginning, we need to divide the result by 2 10000/2 = 5050
YouTube
youtube.com › shorts › EBGLYjgN1EQ
How To Quickly Add 1 to 100 - YouTube
#shorts This video explains how to quickly sum the whole numbers from 1 to 100.https://mathispower4u.com
Published January 3, 2023
Cuemath
cuemath.com › numbers › natural-numbers-from-1-to-100
Natural Numbers from 1 to 100 |Sum of natural numbers from 1 to 100
The sum of all natural numbers 1 to 100 can be calculated using the formula, S= n/2[2a + (n − 1) × d], where n is the total number of natural numbers from 1 to 100, d is the difference between the two consecutive terms, and a is the first term.
Medium
medium.com › intuition › the-genius-of-young-gauss-finding-the-sum-of-first-100-natural-numbers-37d355d63222
The Genius of Young Gauss: Finding the Sum of First 100 Natural Numbers | by Rahul Bhujel | Intuition | Medium
May 7, 2023 - Suddenly, it was like a light bulb went off in his head. He discovered a pattern that nobody else in the class could figure out. The sum of the first number and the last number, 1 and 100, was 101.
Quora
quora.com › If-you-add-up-all-of-the-numbers-from-1-to-100-what-is-the-total
If you add up all of the numbers from 1 to 100 what is the total? - Quora
Answer (1 of 8): 1.) As a young child, in the 1700s, Carl Fredrich Gauss quickly found the answer by arranging the numbers from 1 to 100 into two sequences (one ascending and the other ascending): * 1, 2, 3, 4, …, 50 * 100, 99, 98, 97, … 51 ...
Unacademy
unacademy.com › question & answer › mathematics questions › find the sum of all natural numbers from 1 to 100
Find the sum of all natural numbers from 1 to 100
February 28, 2023 - Answer: Now note the natural numbers, which are from 1-to 100. According to arithmetic progression, natural numbers can be written down as 1, 2, 3, 4, 5, 6, 7, and 8 to 100. A=1 D=1 N=100 Now moving toward the calculation, the sum of all the natural numbers is: The formula of Arithmetic Progression ...
CK-12 Foundation
flexbooks.ck12.org › cbook › ck-12-first-grade-math-resource-flexlet › section › 3.1 › primary › lesson › add-numbers-to-100
Add to 100
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Wikihow
wikihow.com › education and communications › studying › mathematics › algebra › how to add consecutive integers from 1 to 100: 9 steps
How to Add Consecutive Integers from 1 to 100: 9 Steps
September 30, 2022 - According to math legend, the ... 100.[1] X Research source The basic method is pairing numbers in the group, then multiplying the sum of each pair by the number of pairs....
Reddit
reddit.com › r/askmath › why is the sum of the natural numbers from one to one hundred is 50 times 101?
r/askmath on Reddit: Why is the sum of the natural numbers from one to one hundred is 50 times 101?
March 27, 2023 - Going to use this with my students. 👍🏼 ... As you see in the calculation 1+100=2+99... You can always find pairs of numbers in the 1+2+...+100 that add up to 101 each, each number of used exactly once and there are 50 pairs.
Quora
quora.com › How-do-you-add-the-numbers-1-to-100-in-less-than-one-minute
How to add the numbers 1 to 100 in less than one minute - Quora
Answer (1 of 6): I love this one! This is something that Gauss figured out when he was very young (or so the stories say). How to solve the problem 1+2+3+…97+98+99+100. Start the stopwatch. Would it be ok if I changed the order? 1+100+2+99+3+98+…49+52+50+51.
Web2.0calc
web2.0calc.com › questions › what-is-all-the-numbers-from-1-to-100-added-up
View question - what is all the numbers from 1 to 100 added up?
August 22, 2014 - There is a "formula" for this. But notice when we add the first number, 1, and the last number, 100, we get 101. And addnig the next-to-the-last number, 99, and the second number, 2, we also get 101.
Math Central
mathcentral.uregina.ca › qq › database › qq.02.06 › jo1.html
What is the sum of the first 100 whole numbers?
Question: what is the sum of the first 100 whole numbers?? how am i supposed to work this out efficiently? thanks · The question you asked relates back to a famous mathematician, Gauss. In elementary school in the late 1700’s, Gauss was asked to find the sum of the numbers from 1 to 100.
Reddit
reddit.com › r/learnmath › how did gauss supposedly add the numbers from 1-100? using this method, can you add only the odd numbers between 1-101?
r/learnmath on Reddit: How did Gauss supposedly add the numbers from 1-100? Using this method, can you add only the odd numbers between 1-101?
June 12, 2012 -
I tried to answer this question but it seems really hard for me. It is an extra question for my course and it might give me good grade. I need your help guys :). thanks
Top answer 1 of 5
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Try writing out the first few terms, and see if you notice a pattern. There is a nice answer! Then think about what happens if you try to group numbers into pairs the way Gauss did.
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He partitioned the numbers 1,2,...,99,100 into the pairs (1,100), (2,99), (3,98), ..., (49,52), (50,51). Each of those pairs has the same sum (namely, 101), and there are 50 such pairs, hence the sum is 50*101=5050. You could tweak the method to find the sum of the odd numbers between 1 and 101 by first finding the sum of all the natural numbers between 1 and 101, and subtracting from that the sum of all the even numbers between 1 and 101. Note that latter sum is 2+4+6+...+100 = 2(1+2+3+...+50).