Can you solve this 2nd grade problem that has baffled adults?
Ғылым және технология
A question assigned to 7 year old students completely stumped a mother who posted it online asking for help.
Reddit AskMath
/ 2nd_grade_math_questio...
Wikipedia Addition
en.wikipedia.org/wiki/Addition
Kidspot
www.kidspot.com.au/parenting/...
Scoop Upworthy
scoop.upworthy.com/second-gra...
Tyla
www.tyla.com/life/parenting/m...
Subscribe: kzread.info...
Send me suggestions by email (address at end of many videos). I may not reply but I do consider all ideas!
If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay.
If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay.
Book ratings are from January 2023.
My Books (worldwide links)
mindyourdecisions.com/blog/my...
My Books (US links)
Mind Your Decisions: Five Book Compilation
amzn.to/2pbJ4wR
A collection of 5 books:
"The Joy of Game Theory" rated 4.3/5 stars on 290 reviews
amzn.to/1uQvA20
"The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias" rated 4.1/5 stars on 33 reviews
amzn.to/1o3FaAg
"40 Paradoxes in Logic, Probability, and Game Theory" rated 4.2/5 stars on 54 reviews
amzn.to/1LOCI4U
"The Best Mental Math Tricks" rated 4.3/5 stars on 116 reviews
amzn.to/18maAdo
"Multiply Numbers By Drawing Lines" rated 4.4/5 stars on 37 reviews
amzn.to/XRm7M4
Mind Your Puzzles: Collection Of Volumes 1 To 3
amzn.to/2mMdrJr
A collection of 3 books:
"Math Puzzles Volume 1" rated 4.4/5 stars on 112 reviews
amzn.to/1GhUUSH
"Math Puzzles Volume 2" rated 4.2/5 stars on 33 reviews
amzn.to/1NKbyCs
"Math Puzzles Volume 3" rated 4.2/5 stars on 29 reviews
amzn.to/1NKbGlp
2017 Shorty Awards Nominee. Mind Your Decisions was nominated in the STEM category (Science, Technology, Engineering, and Math) along with eventual winner Bill Nye; finalists Adam Savage, Dr. Sandra Lee, Simone Giertz, Tim Peake, Unbox Therapy; and other nominees Elon Musk, Gizmoslip, Hope Jahren, Life Noggin, and Nerdwriter.
My Blog
mindyourdecisions.com/blog/
Twitter
/ preshtalwalkar
Instagram
/ preshtalwalkar
Merch
teespring.com/stores/mind-you...
Patreon
/ mindyourdecisions
Press
mindyourdecisions.com/blog/press
Пікірлер: 818
looking at it, I genuinely have no idea what the problem even is.
@bebektoxic2136
25 күн бұрын
English is also not my mother tongue and I understand why you don't understand.
@Jreaddy
25 күн бұрын
They throw in word words the kids should know, 99% of the time I get stuck on soemthing helping my kid, I ask, “how did you learn this” and they’ll show me a quick easy thing and it’ll click in my head, there’s always a random word for me that I have no idea what they mean lol. Like in this it was “addend” or whatever that word was, remove that word and I’m good hahahah
@Moses_VII
25 күн бұрын
They never taught me the word 'addend' in school. They just say 'one of the two numbers which get added'.
@user-pm7fv9dt6j
25 күн бұрын
@@Moses_VIIsame
@JLvatron
25 күн бұрын
@@bebektoxic2136 Even with English tonguers, nobody knows what an Addend is.
I need to go back to 2nd grade English because I had no idea what the question even asked
@Moses_VII
25 күн бұрын
Addend is a word none of us were taught
@scaper8
24 күн бұрын
@@Moses_VIIYeah, I'm pretty good at math, and I truly do not think I was ever taught the words "addend," "aguend," nor "summand." I know "term" and "sum," but not the others.
@josephcarland
24 күн бұрын
The wording of the question is confusing.
@hermand
24 күн бұрын
Haha, right. "Have a go at solving it?" I don't even know what the question is!
@worldsfunniestvideosandbes3684
24 күн бұрын
That's what my problem with the question was also. 😂 @@Moses_VII
The whole reason this is difficult is because you can overcomplicate the question
@worstusernameintheworld9871
21 күн бұрын
exactly, the equation can be written as my first answer (which is 6 + 20 + 800 = 826 aka I only used the digits listed in the question). The thing is, you can TECHNICALLY add more digits to your equation since the question never stated that you should ONLY use the digits listed in the question (for example: 6 + 20 + 800 + 826 = 1452, aka my second answer, nobody said I couldn't add a "1452" to my equation). This makes the question more complicated than what it's probably initially intended for (aka ONLY using the numbers listed to make an addition equation). edit: I saw another viable solution that makes sense which also bends the supposed "rules" of the question, as nowhere in the question states that you ONLY need a 1-, 2-, and 3-digit addend, resulting in this addition equation: 8 + 68 + 206 + 0 + 0 = 828 The thing that stumps most people the most, however, is the fact that they have no idea what an addend is, and since English is a second language to most people in my country, I get it (lucky for me, I grew up speaking English AND we were taught about "addends", "subtractor/subtrahend", "factor", "dividend/divisor", etc. where I live so it's just an advantage for people like me).
@LtPowers
2 күн бұрын
And it's easy to overcomplicate because they used digits that add up to each other. Makes you think the two has to add to the six to make eight, or 2+8 to make a 0.
Honestly this feels more like a language comprehension question than a math question If i were to construct the question i would write: Use the following numbers to construct a valid equation by filling in the boxes below 2,2,6,6,8,8,0,0,0 [] [] [] + [] [] + [] = [] [] []
@hillaryclinton1314
20 күн бұрын
I will go with this... The original question was horribly constructed!
@scottmcshannon6821
20 күн бұрын
@@hillaryclinton1314 the original question used terms no 2nd grader ever heard.
@jnharton
19 күн бұрын
@@scottmcshannon6821 Says who? I'm sure that digit, equation, addition, and addend were all mentioned in math classes before.
@softy8088
16 күн бұрын
@@jnharton Strangely I had never heard "addend" and had to look it up as an adult when I was writing some documentation.
@grillbesteck6319
15 күн бұрын
Ohhh then it’s easy, it’s 800 + 60 + 2 = 862
The 3 zeroes are the key. Once you realize there are only 2 of everything else, you understand that everything that appears in the addends also has to appear in the sum, and there are enough zeroes to make that happen. There are no odd numbers available to do any kind of carry logic. It's actually probably easier for a second grader, who doesn't have a lot of experience carrying digits forward yet, so they see the obvious solution right away.
@mullergyula4174
24 күн бұрын
Exactly. If you avoid the carrying then it is simple.
@michaeljayne6731
23 күн бұрын
Simple, but I wonder what practical use it has. Just realizing that adding a 0 with a digit (an integer in the range [0,9]) yields the digit being added?
@barahoupt7849
4 күн бұрын
Exactly! What a neat question!
The question should have stated, "using only this complete set of digits." Nothing in the problem statement prevents you from adding more digits.
@softreyna
25 күн бұрын
I wonder if this is the intention? It makes the math of the problem MUCH easier, and that kind of logic, while not something most of us were taught in second grade, is something that I think a second grader could grasp, especially if they're already being taught what an equation is. I mean, I mostly remember second grade math focusing on doing basic addition quickly, and they probably don't have to spend nearly as much time on that in the "you DO keep a calculator in your pocket at all times" era.
@nieshmiesh
25 күн бұрын
just what I thought, also with the amount of addends so 6+22+680+800=1508 is a solution.
@otakurocklee
24 күн бұрын
exactly.
@DumbMuscle
24 күн бұрын
This is only possible if you also have an additional addend (which is also not specified, so the question is still underspecified). If you have 1 more digit, it has to go somewhere - and if your addends are defined, you'll need a 4 digit sum (so you can fit all the given digits and your new one). A+BB+CCC=DDDD requires the 4 digit sum to start with a 1, since a 1 digit number + a 2 digit number + a 3 digit number is at most 9+99+999=1107. Since 1 is not part of the given digits, it must be the new digit you added (assuming no leading 0s). So to get this you need to use 6 of the given digits to add together to a 4 digit number. However, the largest of the given digits is an 8, and 8+88+888 < 1000, so you cannot create a 4 digit sum using the given digits, so the total number of digits matches the number of given digits.
@leoperd3487
24 күн бұрын
That was my first thought
I really like the compliment to her for trying for an hour before asking for help. And I fully agree! Giving it a proper try *and* asking for help once you’re sure you need it are both amazing habits
@Fred-yq3fs
24 күн бұрын
Primary school homework should never take more than 30 min. and it should be practice and nothing else. Go have 3 kids and put 3h in every week day. ffs.
@snowfloofcathug
24 күн бұрын
@@Fred-yq3fs 1. I agree that her spending half an hour on the question would’ve already been enough 2. One problem taking an hour once isn’t even bad as long as they’re typically much shorter 3. I can commend her habits without thinking it should take that long
@smellydeadcat2178
24 күн бұрын
@@Fred-yq3fsI'm stumped...ffs?
I am 68 and just learnt what addend is. I have never heard that word before. I have o and a level maths. But the problem is not the maths it is the English. How about arrange the above digits to form a 1 digit, a 2 digit and 3 digit number which when added together make a number formed of the remaining digits.. Simple!!
@kmbbmj5857
25 күн бұрын
I agree that's much better wording. In fact I believe much of the problem so many people have with math and word problems is not the math, but the way the problems are written.
@beng4186
24 күн бұрын
@@kmbbmj5857 A poor tradesman blames his tools. It's the not the fault of the question writer that you don't understand fundamental mathematics terminology - that obviously would have been taught in this class.
@cmilkau
24 күн бұрын
Understanding these kinds of wordings is part of the training.
@avpmobi
24 күн бұрын
@@beng4186It maybe now it wasn't then or probably when the mother was at school. Not sure it is a term used in the UK now.
@Fred-yq3fs
24 күн бұрын
Plain English. No technical pedantic language in primary school. Too obvious I guess.
It is most probable that the question was set as homework in order to reinforce the lesson taught in class that day. Before you help your child with their homework it is a good idea to ask them what they were taught, and to show you the relevant pages in their work books. This will often guide you towards the sort of answers required.
@MarieAnne.
15 күн бұрын
That's a good point. I definitely remember being taught in elementary school how to break numbers down using their place values, such as: 135 = 100 + 30 + 5 So if that was the lesson taught, it would be obvious the answer would be in the form: a00 + b0 + c = abc, where a, b, c have values 2, 6, 8 in some order.
@xXJLNINJAXx
14 күн бұрын
The books suck ass.
I get why people might be confused, but probably just because the wording and phrasing is rough for people who have been out of school for a long time and don't do math regularly. It took me a minute to see what the teacher's intent was but I think it's pretty fair for second graders who were just learning it in class that week.
@hrayz
25 күн бұрын
A student in that class would be introduced to the Wording before these questions. Once they know these words, the question can "make sense" for them. The poor parents, who learned the "old" language, won't know what is being asked.
@Fred-yq3fs
24 күн бұрын
@@hrayz That's a problem in and by itself. There is no "new wording" to be had, especially not in primary school. It's basic knowledge. it's thousands of years old. No need to make it new every 2 years... except for the bottom line of text book editors of course.
@SC-gs8dc
24 күн бұрын
@Fred-yq3fs This is the old language. I was taught this in grade 2 about 40 years ago.
@yippee8570
23 күн бұрын
@@SC-gs8dc Not in the UK. Never heard of 'addend' before. It's not used when teaching numeracy here.
@57thorns
23 күн бұрын
@@yippee8570 English is my second language, but I since i know the word addition I could make it out with no problem.
I am 58 UK born and I have never heard of or seen or even been told of the word addend before
The problem didn’t state that you should only use the given digits, just that they must all be used, so adding extra terms would open up a huge number of additional solutions.
I am 60. Until today I have never seen the word "addend" used in a math question for 7 year olds. It is a very poorly formatted question.
Took me longer to figure out what the problem wanted me to do than to solve it. It's asking for us to use those 9 digits to make a valid addition problem: 3 digits to make one of the addends, 2 to make another, 1 to make a 3rd, and then the last 3 to make the total. Took me 5 minutes to work that out and 1 minute to come up with 600 + 20 + 8 = 628.
2 + 60 + 800 = 862 ?
@TheGolux
25 күн бұрын
or any such variation yeah.
@Daniel-ef6gg
25 күн бұрын
Ya, I did 8+20+600=628
@charliethunkman
24 күн бұрын
There are 3 0s for a reason...
@wyattstevens8574
24 күн бұрын
Good one- here's what I did: 0+0+[permutation of 2, 6, and 8]=[3-digit number] (I thought "stretch your thinking" meant "0 doesn't have to be a single digit.")
@jdmichal
23 күн бұрын
Yes. The kids are probably learning or reviewing place values. The context makes the intended answer more obvious.
Solved it in 30 seconds in my head, but I harbor no illusions that it would be within reach of most second graders.
@sanamite
25 күн бұрын
You mean finding out there were 48 solutions?
@trumpetbob15
25 күн бұрын
Yeah, I got a correct answer quickly but most of my problem was seeing if I even understood the problem correctly.
@michaelz6555
25 күн бұрын
@@sanamite the sufficiency case was one solution, as it would have been for the second graders. I intuited several solutions by digital permutation but didn’t go to the trouble to count them.
@Rickety3263
25 күн бұрын
That’s always the hype title for these kinds of videos “third grade Chinese math problem stumps physics professors”
@nathanielgarza9198
24 күн бұрын
All they needed to say is create a equation that adds a 1-digit number, a 2-digit number and a 3-digit number with these digits included
This is not a problem about math this is a problem about definitions. I can guarantee the kids were taught what to do
Guessing was never a permitted part of math classes, not even when estimation was taught. We had to learn the teacher’s way of solving problems and be able to duplicate it in any problem we encountered.
@Anonymous8547
18 күн бұрын
Inspection is a very important to learn in math, particularly in Calc II and Differential equations.
"What's wrong?" The meta-answer is to look at the child's curriculum. "Decomposing parts of numbers using the positional system" is the key.
The problem with some of these is the way they are worded. They can be ambiguous and confusing and neglect to clarify just what is wanted.
Every time it's "student's math problem stumps parents" I guarantee it's something the teacher already explained in class but the student wasn't paying attention.
@mattm8870
20 күн бұрын
Or the parents haven't bother to ask the question what did the teacher teach you today.
@shadesoftime
14 күн бұрын
Neither did the parents, and they even lack the basic deductive skills to find that "addend" probably means one of the numbers being *add*ed. I'm a non-native English speaker on the verge of failing English literature, but it only took me about 30 seconds to figure this one out. And no, I haven't seen that word once in my life.
The real question is more "what does this question mean?" I thought the sum wasn't supposed to be part of the digits. So my answer was 006+062+822=890 which is a stretch to the definition of an "n digit number".
@asadyousafzai937
24 күн бұрын
Same. I never even considered that the answer HAD to be from within the remaining digits and therefore couldn't solve it. Although that is a failure on my part since the question didn't state otherwise either
@ricardoescareno8135
24 күн бұрын
The key is in the word "equation". With that word, the problem is telling you it's needed to write on both sides of the equal sign
@davidobermeyer26
21 күн бұрын
No, a teacher would not accept a number with leading zeros to use up the otherwise unused zeros.
@shadesoftime
14 күн бұрын
You used 4 zeroes, 3 twos and a number not even in the question. Are you sure you got it?
My immediate thought was, “It says I have to use _all_ the digits shown, but not _only_ the digits shown, meaning there is an infinite amount of answers, as I can just add more numbers infinitely.”
I am suprised people found this difficult, but tthis being for grade 2s is insane. Maybe grade 4s or 5s
I honestly found it ridiculously easy once I figured out where to put the zeros. Took me about 5 minutes in total. Hats off to anyone who can find any solutions with two non-zero numbers in the same column with no leading zeros.
@keithwood6459
7 күн бұрын
I messed with that avenue for a while, but realized there were roadblocks. Can't carry a one, because no odd numbers. Can only carry a two from the first column (6+6+8), but then run out of sixes and nothing else works. Presh's simulation of all possible combos shows the range of answers is all of similar types. Nothing exotic turned up.
this question feels like its easy but has the most absurd wording ever, i have never once heard 'addend' in my entire life
It took me like a minute to understand what the question is asking but then I got the answer in just 10 seconds
Flipping "6" to "9" is not enough. Why not rotating "8" 90° and turning it into ♾️ ? 😮😨
@olima-
19 сағат бұрын
Or cutting the 8 into two small 0s or two 3s.
if they had drawn those boxes representing the equation below the question, i bet people would have gotten it easily it was just worded horribly i didnt understand that i needed to use the numbers in the list on the answer too
You missed solutions with a different pattern: 60 + 208 = 260 + 8, 20 + 806 = 820 + 6, etc.
@corvididaecorax2991
25 күн бұрын
Those aren't really addition equations. They are equations, but from what I can find addition equation means two or more numbers added together with the sum on the other side of the equals sign. If you have anything but just the sum over there it isn't an addition equation..
@HarvardHeinous
25 күн бұрын
@@corvididaecorax2991 Whoa, there's an official definition of "addition equation"? >_
@corvididaecorax2991
25 күн бұрын
@@HarvardHeinous Honestly I just Googled it. Some websites listed that as a definition. I'm not sure how official it is, but I didn't find anything that gave any other definition. But it is Mathematics. Everything has definitions.
@thomasmaughan4798
24 күн бұрын
I also considered the possibility of a compound sum on the right hand side. But, second grade, probably not.
@Warcraft_Traveler
24 күн бұрын
Not a solution, since the problem stated "a 1, a 2 and a 3 digits *addend* ".
The way I see it, there are 216 separate solutions. You can’t include leading zeros but you can count 200+80+6=286, 80+6+200=286, and 286=200+80+6 as three separate valid responses. Just because the responses are equivalent doesn’t make them redundant.
I see 108 solutions, once an initial candidate is found: - 6 column assignment combinations for the 3 non-zero pairs, - 6 row arrangements for the 1, 2, and 3 digit numbers, and - 3 arrangements for the last column (assuming that 0 counts as a stand-alone 1-digit number). (I did not allow leading zeros beyond the lone zero.)
Since we're supposed to add up 1, 2 and 3-digit numbers together, the sum must have 3 digits too. Also, the most-significant digits of both the 3-digit addend and sum must be the same because all the digits are even numbers. abc de f agh c+e+f is either below 10 or above 19. If there's no 8 among them, at least one 0 is used: 0+2+6=8 0+0+6=6 0+0+2=2 If there's an 8: 0+0+8=8 8+8+6=22 (carry 2) 8+6+6=20 (carry 2) b+d can't exceed 9. d is at least 2, so b
@Tehom1
21 күн бұрын
You have a good principled answer. Ruling out the carries first is the way to go if you approach it as a maths problem.
This feels like one of those questions the book author thought was so clever but in reality it was just a terrible idea that probably confused all but the smartest kids in the room.
Had never heard the words "addend" and "augend" before -- I got up to multivariable calculus in college. Learned something new today.
Literally 90s of thinking is enough to get 2 + 60 + 800 = 862 Or it can be any permutation of 2, 6 and 8
200+60+8, or 200+80+6, or 600+80+2, etc etc. A little bit of thought gets you there and a 7-year old might benefit from the exercise without Mom spreading math-panic
I don’t really get why this was hard for people, you just do 0 + 00 + some combination of 628 and make that equal the same combination
I'll be honest, I tried this one for a bit and legitimately failed because I never stopped to think that the 1-digit addend might just be the last digit of the sum. Such a simple, obvious step, and I discarded it right from the get-go.
i was stunned a first and tried to figure it out while you were explaining, it clicked in my brain as soon as you showed 2:55 the pyramid-like thing. really easy solution that shows how much you have to not overthink at problems like that
Just a silly idea, but if we decide we can rotate digits... 2 + 26 + 600 + 0 + ∞ = ∞ And, of course, lots of variations.
@petervanvelzen1950
24 күн бұрын
You have replaced the 8's by something that is not a digit
@davidlohmann5098
23 күн бұрын
I think this is the most clever answer
@gorak9000
23 күн бұрын
that has 5 addends, not 3
@chaosgyro
23 күн бұрын
@gorak9000 It requires 1, 2, and 3 digit addends, but doesn't specifically limit itself to those.
I think I figured it out- "stretch your thinking" is code: it means, "0 doesn't have to be just one digit!" With that in mind, there's 6 potential solutions: 0+00+[one of 268, 286, 628, 682, 826, or 862] = 3-digit added
@NihaarB
24 күн бұрын
those 6 solutions are already included in the answer of 36
@wyattstevens8574
23 күн бұрын
@@NihaarB I hadn't even *watched* the video when this solution hit me!
@NihaarB
21 күн бұрын
@@wyattstevens8574 👍
My first thought was "What the hell is an 'addend'?"I couldn't even understand the question. I thought it involved addng up the 9 digits after right-padding some of them with 1, 2, or 3 digits. Maybe it would have made sense if I'd had the benefit of classroom context, but I didn't - so it didn't. Kudos to the mom who at least knew what was expected of her.
IM0, using 0 as an addend is acceptable, but 00 or a number with a leading zero is not as that's not how numbers are typically described. Yes, 00 is 0 and is valid, but I think most teachers would flag that. Also, the answer should not have a leading zero. eg: 8+60+200=268
the trick of this question is context: i'd say that this exercise is in a chapter in the school textbook probably teaches about "tens, hundreds, thousands", and/or how to write and manipulate summations with "carry over", what to do with leading zeroes, etc this exercise is training the students'ability to comprehend and interpret the text, but is also to help the _teacher_ discern the individual students' abilities 1) the student that goes for the low effort answer: 0+00+268=268 (or permutations) 2) the student that struggles to find an answer, whether they do it or not - most of them will be in this category 3) the student that finds a couple of answers or possibly a _pattern_ in those answers and i guess a 4th category would be *you,* the obviously-not-a-second-grader
The most difficult part of this problem was knowing what an "addend" was.
Bro just put salt by finding not 1 but 48 solutions, 😂
The pairs of digits and three zeroes clued me in to the answer, and I'd envisioned the addition in columns.
Always impressed. What I learned by watching this channel was that you don't actually need to do it the hard way but the smart way. I thought the equation wording was the catch, but didn't notice the trick to pairing the digits. Now I know. Those little things is what I tried to teach my little brother because the hard way is the pathway of highest electrical potential in my brain's medium. And we may entertain the thought, but isn't the way the scientific notation treats the zeros the standard?
The most difficult part is understanding the question (does a 7-year old know what an "addend" is?). Once understood, it is pretty easy to an answer.
3:28 when it's written like this it is suddenly so painfully simple.
The whole point of this question is for the child to practice all possible outcomes meaning theyll eventually find the result. I’m worried about their parent, how can you not find the solution after a whole hour of trying?
Does anyone REALLY believe this was a 2nd grade problem with the word "addend" in it
14 years of math including 2 years of calculus and I don't remember being taught the word addend, but if I replace it with number, I come up with 600 + 20 + 8 = 628.
The problem doesn't appear to prohibit using decimal separators. Given that we have a 1-digit number as an addend, we can only add decimal separators between the ones and tens places. However, America uses a decimal point while Europe uses a decimal comma. So multiply the final answer by 3.
@yippee8570
24 күн бұрын
Only some places in Europe. Please don't group us all together. We're hardly homogenous.
@verkuilb
24 күн бұрын
Not quite true. You can put the decimal point as: 60.0 + 2.0 + .8 = 62.8 or 6 + 0.2 + 0.08 = 6.28 or .6 + .02 + .008 = .628 etc. And since you're adding decimals, you can also add negative signs and come up with other creative solutions. Here's just one example: 6 + .28 + (-6.28) = 0.00
Having never heard of the term "addend" before, I had to google that. Once I knew that was just the numbers being added together, it took about 10 seconds to see that 600 + 20 + 8 = 628, which uses all the digits and has the 1, 2, and 3-digit numbers required to be added together. Not sure why the 7 yo's mother didn't just look up what "addend" meant, if that was her problem.
@honourabledoctoredwinmoria3126
23 күн бұрын
I assume that she noticed 6 + 2 = 8 and kept trying to get a solution that incorporated that, without having to use leading 0s.
I was getting too much carry over originally before playing the video, once I saw your first step I face palmed and figured out the rules for all the solutions.
I didn't even understand the question until he explained but once I understood it took like 10 minutes to play with the numbers to figure it out then it made so much sense
I don’t even understand what on earth the question is even asking. It’s not even asking for an actual output. Nothing is specific.
Am I missing something? Your solution is much more elegant than what I came up with. I don't see in the question anywhere that one has to use ONLY those digits and have ONLY three addends. I came up with 8+62+860+100=1030. That uses all of the required digits and just has a few extra and an extra addend. Seems to me that is a correct answer to the question as worded.
Honestly, once I actually understand the question it was really easy. However, I had no idea what the question even was. It was written extremely poorly for sure.
I'm wondering in what country the question was posed. Except for Sum, and Term, none of those words are familiar to me.
I struggled to understand the question as it was written. Once i understood the question, I found an answer quickly
I had to look up what an addend was but after that I realized this was a question about understanding digit placements.
Majored in mechanical engineering, minored in math. I don't think I've ever seen the word "addend" in my life. The - symbols after 1, 2 and 3 also confused me.
This problem is probably designed to be able to be arranged any way and still hold true.
The mom: After one hour 1 hour I found no solution This guy: After a few seconds, I have 48 answers, which do you prefer?
Turning the 8's sideways to make infinity symbols will allow a whole new batch of solutions.
2:24 I've lived in the US for most of my life and this is the first time I am hearing of "addend", "augend", or "summand".
6+62+288+1000 = 1356. Nowhere is it stated that only the given digits can be used.
@arandombard1197
24 күн бұрын
Except it does. You're given 10 digits to use.
@gabrielgrey2708
24 күн бұрын
@@arandombard1197 Firstly, there are 9, not 10 given digits. But secondly, and more importantly, it is not stated that you are not allowed to use other digits, only that the listed gidits have to be used.
@arandombard1197
24 күн бұрын
@@gabrielgrey2708 It doesn't say you can use other digits. It says you can use these digits. It then gives you the format that those digits must be used in. Pay attention.
@gabrielgrey2708
24 күн бұрын
@@arandombard1197 The problem states "use all of these digits", and my solution does use all of those digits. The format is just the preferred format of Presh, not a part of the original problem.
My holdup was I thought they meant to keep the digits in that order as presented and place two addition sylbols and an equal sign in the spaces to make that line true.
You can rearrange the order of the numbers!? But the question made it sound like you needed to keep the order, ie, only placing plus signs and an equal sign.
Is there anything about the question that prevents you from adding additional digits to the equation? As long as I add a 1-, a 2-, and a 3-digit number and include all of the 9 required digits, I cannot see a problem in e.g. adding another addend or using other digits than 0, 2, 6 and 8 for the sum?
I was bored and just tried different combinations on the calculator, and when I finally got the answer... I was like D'oh!!
WHAT? I know I am an older man, but I could never have understood this, or anything like it, at 7 years of age. Even in my seventies I have struggled to understand the question, but I can follow your reasoning. I think the way the question is phrased is the bigger part of the problem.
The only thing that confusing in that question at 0:34 is the word addend which I never come across before. But the fact there's 9 digits listed to be used and the fact that digits are repeated means they looking for an answer in the form of X+XX+XXX=XXX. So 6+20+800=826 you can swap the 2, 6 and 8 around.
It's actually interesting how the question is made intentionally with the zeros in mind.
I really like this problem. It’s the kind that seems hard, then when you figure it out it seems simple.
First of all, once I did a search to find out what an "addend" was, it was quite easy for me to find a solution. And, like many others, I had never had a math teacher, professor, etc. ever use the term "addend". Secondly, using "02", etc. and "002", etc. as two and three-digit numbers is invalid - the only times I've ever seen such a notation was when teachers or textbooks used it to explain the addition of numbers with a different number of digits (as in the problem in this video).
Among the great many previously published math puzzles people have come up with over the years, there are myriad examples containing phrases like "1-digit", "2-digit", "n-digit number", and the like. Notice that in nearly every case, it is implied, if not outright stated, that the numbers referred to are positive integers without leading zeros. Exceptions to this rule are rare. It is a longstanding convention that "00" does not count as a 2-digit number.
I was able to solve it at 4 minutes because I was confused at the terminology. After the premise of the problem was explained the problem was easy. The issue was in the communication of the problem, and this is the root cause of the failure of many students.
I had to google the definition of what an "addend" is.
3:51 Once I saw that the result was included in the digits used, I quickly saw that a valid solution is units, tens, and hundreds, with the result being a permutation of the distinct non-zero digits.
Since the question just said the equation must have a 1-,2, and a 3-digit addend, I'd like to think it doesn't mean we can only have those three numbers, but we can also add more numbers ourselves. We could add some 4-, 5-digit numbers, or two 3-digit numbers as long as a 1-,2-, 3-digit number is added. Moreover I think we can also use other numbers than 6,2,8,0, as long as we use all those numbers that were required. This would also fulfil the question requirements.
it doesnt say you cant add more numbers as long as you use all the ones presented and have at least a 1-,2- and 3-digit number
It’s the terminology used in the question. Wasn’t familiar with the word addend, guessed it meant number but then I pondered if we needed to add additional numbers of 1,2 and 3 digits in length to the listed numbers…sigh
I don't think I would consider the numbers with leading zeroes to be a 1-, 2-, or 3-digit addend.
Did it in my head before the pause. Thought there'd be 6 possible answers, but didn't consider the )'s alone or in front for a moment.
Once I realised what the poorly-worded question was asking, it took no time: 600 + 20 + 8 = 628
Yeah, it's easy once i watched the video till you do the rearrangement into columns. But how do i see that possibility without watching the video? How to learn that type of thinking?
Well, now I know why I would always hate word problems as a kid
As long as it was presented to the kids as a brain-teaser, I think it's a pretty fun little puzzle. Better than pages of addition problems which is what I got in 2nd grade.
@Skank_and_Gutterboy
23 күн бұрын
There's no way in hell this was assigned to 2nd graders unless it was extra-credit and nobody was really expected to get it. 2nd grade math is learning to add and subtract through tons and tons of repetition. This video poster does this all the time, he takes these problems that give the average high school math student a lot of problems and says that it was assigned to 8 year olds (usually he says "gifted" 8 year olds). He throws in a strong implication, "A bunch of kiddies got it, what's wrong with you?" Same sh!+, different day.
@paulgreen9059
23 күн бұрын
@@Skank_and_Gutterboy It requires both a knowledge of addition, and a flexibility of mind. I don't think 2nd graders lack either of those things, but they need to learn to use both and that's the great thing about brain-teasers.
Answering before I hear the answer but my logic was that there are no odd numbers, so anything that involved carrying a 1 was invalid (8+2=10, etc). This means all columns had to add up to 8 or less. The 1s digit could not be 0 in the final solution since that would require 4 0s since we can't carry digits over. None of the other columns could result in 0 because that would mean one of the numbers on top would be invalid (6+62+020=088 would not have a true 3-digit number). 0s can't start a number and can't be part of the solution, so that left a triangle of A+B0+C00=DEF. If any column used 6+2=8, that would leave an additional 6 and 2 orphaned since each column needed 2 non-0 digits. That leaves any solution where A=F, B=E, and C=D using the notation I used. So 2+60+800, 6+20+800, 2+80+600, 8+20+600, 8+60+200, 6+80+200 are all valid
Either the equation uses all the digits, so: 6 + 80 + 800 + 622 = 1508 Or, the solution uses all the digits, which implies that all the *unique* digits must be used, else the question is impossible: 600 + 20 + 8 = 0628 = 628.0 6020 + 8 = 6028 if leading/trailing 0s don't count. Or both, splitting the digits across the addends and the sum. *Note: The question never specified that you have to use only those digits, so a possible solution can be easy:* 6 + 80 + 800 + 622 = 1508 or if the specification is required 800 + 60 + 2 = 862
I considered just “0” for the one digit number wasn’t valid, and there’s only six answers.
bruh, it's a trick question. Beautiful puzzle tbh! I started by thinking about the possible places where carry could occur, only to realize there can never be any carry, meaning the pattern is essentially forced by the addends having to start with a nonzero digit (there's technically two other options if the one-digit addend is 0)
7:52 Double-zero may not count, but single-zero certain should. - I accidentally got it when I considered making the 1-digit number a 0, then when I wondered if it has multiple solutions, I came up with a template for a bunch of solutions (which is similar to but different from Presh's solution): _0 + xy + z00 = zxy_ Really, the only restriction is to avoid carries. 11:00 The moral of the story is that schools are nasty and children are doomed. Presh's take on this is contrary.
I can't imagine any on-level second-graders getting this question right.
There are 2 of each number except the 0’s, which there are enough to express a multiple 10 and 100. A number with the digits ABC can be written as A00 + B0 + C. That uses each digit twice and three zeros, there are 6 possible solutions using this formula: 268=200+60+8 286=200+80+6 628=600+20+8 682=600+80+2 826=800+20+6 862=800+60+2 After the step where we figured out that the answer has to be a 3 digit number, I realized the three 0’s meant you could make any 3 digit number and break it into it’s expanded form
For a 2nd grade student this is nuts
@aguyontheinternet8436
25 күн бұрын
it honestly doesn't look too bad. There are so many solutions, just some guesswork and a little thinking should easily stumble you into an answer
@someguy999
25 күн бұрын
I could see some students getting it if they had done similar questions in class and in their homework assignments. If this just came out of the blue, it would be way too hard imo.
@mattc3581
23 күн бұрын
In context of their classwork it is probably very simple. I imagine they have been learning to split up a number into hundreds, tens and units, eg 862 = 800 + 60 + 2. Creating any three digit number from different digits given in the question would then allow it to be split into hundreds, tens and units as an answer to the question.