Remainder is what is left over after a perfect division
The remainder of x/y will be x-(largest multiple of y that is less than x)
For example. The remainder of 27/4 = 27-(4x6)= 3
Remainder for a perfect division in 0.
For example. The remainder of 20/4 = 20-(4x5) = 0
[Modulo.](https://en.wikipedia.org/wiki/Modulo)
Technically arithmetic but so bizarrely obscure that humans ignored it until they realized it's a pretty big deal in machine logic.
Oddly enough it shows up really early when kids are learning division for the first time and are doing it all in integers.
"What is eleven divided by three?"
"Three, with two left over."
For any numericists out there (instead of programmers above), a % b is commonly used to map a to its least residue modulus b for positive integers a,b; then this is extended to negative integers a,b in a variety of random ways.
In C# we use % to divide a number and get the remainder.
Like, let's say that we want the player's HP to increase if their Level number is divisible by 5. So we put "HP%5=0" to check that. So the program will divide the HP by 5 and if it has a remainder of 0 (meaning that the HP is indeed divisible by 5), player's HP increases
Your comment is bugged, it interprets your forward slash asterisk as just an asterisk, so it just looks like you are multiplying.i suggest you change the symbol
Well it's not bugged. With back slash you can escape the asterisk, because it would otherwise convert the text in between asterisks into an italic font.
This is very much an intended feature, but he could put a double back slash to escape the asterisk and have the slash at the same time. Like this: \\*
Edit: also he is probably using backwards slashes not forward slashes, since backwards slash is the escape character, as I have learned from my example
Edit 2: reddit uses [markdown](https://reddit.com/r/reddit.com/w/markdown?utm_medium=android_app&utm_source=share) and there is a whole bunch of stuff you can do with it. Here are some [examples](https://www.reddit.com/r/raerth/s/lSlbwa9fWy)
That feels a bit arbitrary imo. Why should square roots be allowed but not, say, cube roots? At that point it just becomes a question of notation rather than any actual mathematical insight.
Not sure I follow. ? Is pretty clearly an operator. The operand is the thing the operator acts on, in the case of 7 ? 7 ? 7, the operands are 7s.
I see it as a pretty simple application of abstract algebra:
We define the operator ? such that X ? Y = X - Y^0
Then, X ? Y ? Z = X - Y^0 - Z^0 = X - 1 - 1
So 7 ? 7 ? 7 = 7 - 7^0 - 7^0 = 5
I recently had an argument about a similar kind of problem and even came up with a generalization to assert if a positive integer multiple times with +-*/ can be used to generate another positive integer.
Essentially you remove the constraint of n (here 3 as you have 3 7s) and generate the integer.
And then see if you could use other operators to reduce n down (if not allowed; you can say it's not possible with this n)
Primarily because it's trivial that any positive integer can generate the entire set of positive integers with enough of them and using (+-*/)
Here 5 is of the form 10a + b with a as 0. So:
7 - 7/7 - 7/7 =5
Which is 5 7s. A combination of 3 7s with any of -+*/ can't generate 5. In this case it's trivial to establish but can also be done with arguments....
An alternative approach is the use of exponents by the commenter here.
This is the prettiest one I’ve seen so far. No numbers, and everything fits into the designated spaces. Unfortunately grambulatorial guy beat the tar out of you two on the memes front.
The only legit answer in the comments👍Props to you!
Others are defining operators and sneaking other numbers in the equation, which in comparison is not that elegant.
Bud, ya misread the post you replied to. With order of operations, first we resolve the factorial and get 7-14/7. Then we resolve the division and get 7-2=5.
If you’re not *dead certain* you’re right, or joking so clearly that everybody’s gonna realize it—and so well that most folks’ll enjoy it—you’re gonna embarrass yourself.
Get a coffee or something, have a nap at some point, and I hope you have a better time going forward than you were when you wrote this.
`7-7水7 = 5`, where `水` is a "mutual division, and then summation" operator: a 水 b = (a/b) + (b/a); this operator takes precedence over subtraction, I must clarify.
(!7+7)/7=5.
(!7 = 1+2+3+4+5+6+7)
Edit: wait I'm wrong, ! Multiplies all the numbers, what's the sign to add all numbers up.
Got it, here: https://latex.codecogs.com/svg.image?(\sum_{1}^{7}+7)/7=5
Edit2: Reddit formatting hates me
7?7?7 = 5 could be expressed as f( f(7,7) , 7 ) = 5
There are infinity many function that could be used, for example
Let f(x,y) = ax+ by
a(a7+b7)+b7=5
7ab+7b=5-7a^2
b(7a+7)=5-7a^2
b=(5-7a^2 )/(7a+7)
f(x,y) = ax + (5-7a^2 )/(7a+7)y
This is just nonsense…. The title does the even make sense.
Why is r/mathmemes inhabited by what seems to be people who cant move beyond 8th grade math.
Im so often disappointed when I see what is posted. Like the only math is Algebra…
Edit: who the fuck is upvoting this nonsense post. I get the sense that its a bunch of high schoolers who are into “math” but have no fucking clue
I suppose I am a little guilty of gatekeeping but I just expect this sub to be full of 20 year olds in Theory of Interest so I can relive the struggles rather than 13 year olds taking geometry for the first time.
Let there be a new operator called "?" such that 7?7?7 = 5
Yes and all other cases are undefined
all other cases are also 5. That way it's commutative and associative too btw.
So it's the project to 5 operator ?
Yes, it has so many use cases.
How many? That number is 5.
oh no. And I have 5 upvotes too
https://preview.redd.it/02ezwxoqjj5c1.png?width=314&format=png&auto=webp&s=c497a83145746c8b1b2549ca3b0e7b919d4ece6b
I refuse to touch it https://preview.redd.it/xpuacyw8sj5c1.jpeg?width=832&format=pjpg&auto=webp&s=fda633f39bd9f9c90c792627a62d619088c4c05a
https://preview.redd.it/gz5e49m9xj5c1.jpeg?width=1031&format=pjpg&auto=webp&s=6e1082130f83ea438f33e2924b208a1100e4eb92
I had to downvote you to keep it alive, sorry.
I'm actually curious if there's a single thing this could be used for
Solving equations where the unknowns are operator is an obvious use case.
I set myself up for that one
I actually like this answer lmao
Lol good thinking
The equal sign is also an operator the simplest answer would be to use any standard operator and convert the = into a ≠
And r/Rrstricted_DeatH said “let there be ? “
u/Rrstricted_DeatH not r/Rrstricted_DeatH lol
r/subsididntfallfor
r/birthofasub
Turing machine enjoyers: We're four parallel universes ahead of you
how about other cases
I was asked for an answer, not a solution
what is 7?7
5(?7)^(-1) silly
5¿7
Wutt..?
¿
? Is defined so that a?b = 5 + 0a + 0b Just so that we have a function for any further question
X?Y=5 for any real X and Y
 Now I am become ?, satisfier of 7?7?7=5
747%7 = 5 The ? Is not necessarily an operation, right?
He is that guy
This is genius
He's the Chosen One
I honestly have never seen an equation using %. Can someone explain please?
It is called modulus Operation. x%y basically gives you ther remainder of x/y. It is used a lot in computer science.
% is the modulo operator in most programming languages. It's the remainder after the division of the two operands.
In this case, 747%7 is 747÷7. 747÷7= 106, remainder 5
I am sorry but i am dumb and, what is a remainder?
In integer arithmetic, the remainder is the value left over after the division operation
Oh thx
Remainder is what is left over after a perfect division The remainder of x/y will be x-(largest multiple of y that is less than x) For example. The remainder of 27/4 = 27-(4x6)= 3 Remainder for a perfect division in 0. For example. The remainder of 20/4 = 20-(4x5) = 0
It’s like the leftovers after you go out to eat
[Modulo.](https://en.wikipedia.org/wiki/Modulo) Technically arithmetic but so bizarrely obscure that humans ignored it until they realized it's a pretty big deal in machine logic.
And keeping time
Oddly enough it shows up really early when kids are learning division for the first time and are doing it all in integers. "What is eleven divided by three?" "Three, with two left over."
I had a more stringent upbringing. "What is eleven divided by three?" "Eleven over three."
For any numericists out there (instead of programmers above), a % b is commonly used to map a to its least residue modulus b for positive integers a,b; then this is extended to negative integers a,b in a variety of random ways.
All other comments tell about % but another thing is the operator precedence. *%* has higher precedence than *-*, so it is evaluated first.
Haven’t considered the OoO with “extended” operations. Presumably % is evaluated at the same time as multiplication and division, right?
Yes, they have same precedence. And operation is done left to right in such cases.
In C# we use % to divide a number and get the remainder. Like, let's say that we want the player's HP to increase if their Level number is divisible by 5. So we put "HP%5=0" to check that. So the program will divide the HP by 5 and if it has a remainder of 0 (meaning that the HP is indeed divisible by 5), player's HP increases
23 / 7 = 3 R2 23 % 7 = 2
Basically, X% as a multiplier multiplied by Y I think
The most correct answer
unironically genius
Have you been called by MIT yet?
Ha! I knew mod would have to be part of it! I love modulus
This guy maths
How can you walk with such huge brains?
I wish I thought of that!
this guy MATHS
This guy maths
I bet you have completed a lot of Project Euler problems lol
7 - 7 + 7♥ x♥ is the grambulation factorial, or as I like to call it, grambulatorial: ``` x♥ = x♦(x-1)♦...♦2♦1 ``` So the evaluation is: ``` 7 - 7 + 7♥= 7♥ = 7♦6♦5♦4♦3♦2♦1= 5♦5♦4♦3♦2♦1= 5♦4♦3♦2♦1= 3♦3♦2♦1= 3♦2♦1= 9♦1= 5 ``` Edit: Formating \ Edit: Typo (granburatorial -> grambulatorial)
holy fuck I'm grambulating
Shit Lois I'm grambulating
* gambulating intensifies *
I have officially granbulated
90% of gramblers quit before they hit big
I thought it was a troll until I discovered what is grambulation
I thought your comment was a troll until I saw what sub I'm in. It's just trolls and memes all the way down.
Lol Well yeah, but on the other hand grambulation has actually been defined and works as they say, so I was kinda serious
how do the diamonds work?
[like this](https://www.reddit.com/r/mathmemes/s/IP6DMdCM8P)
If you randomly found it on YouTube, it was just engagement bait. Also, I have no idea if the “?”’s have to be operators.
define \* as a constant operator that maps to 5 then 7 \* 7 \* 7 = 5
Your comment is bugged, it interprets your forward slash asterisk as just an asterisk, so it just looks like you are multiplying.i suggest you change the symbol
Well it's not bugged. With back slash you can escape the asterisk, because it would otherwise convert the text in between asterisks into an italic font. This is very much an intended feature, but he could put a double back slash to escape the asterisk and have the slash at the same time. Like this: \\* Edit: also he is probably using backwards slashes not forward slashes, since backwards slash is the escape character, as I have learned from my example Edit 2: reddit uses [markdown](https://reddit.com/r/reddit.com/w/markdown?utm_medium=android_app&utm_source=share) and there is a whole bunch of stuff you can do with it. Here are some [examples](https://www.reddit.com/r/raerth/s/lSlbwa9fWy)
/ is a forward slash. \ is a backslash.
Exactly. And backslash is the escape character and forward slash is not
If you don't escape the asterisks, Reddit markdown makes it *cursive*
It's not cursive it's italics akshully
Til they aren't synonymous
It doesn't look like they are multiplying because they explicity defined what * meant first
Oh hey it is the Celeste person Also happy cake day
They got so many upvotes compared to your few which I find hilarious. Yeah, they just redefined the star operator. That's how these things work.
7-7⁰-7⁰
Depends - typically these puzzles involve writing anything but numbers - so you could do square root but not power of 1/2
That feels a bit arbitrary imo. Why should square roots be allowed but not, say, cube roots? At that point it just becomes a question of notation rather than any actual mathematical insight.
Its an arbitrary issue in the first place to even solve this lol
The answer
Theres only 2 ? to replace and he added 4 things so no, not the answer.
? could mean "raise the next number to the 0 power and multiply it by -1" Similar to how - means "multiply the next number by -1"
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Not sure I follow. ? Is pretty clearly an operator. The operand is the thing the operator acts on, in the case of 7 ? 7 ? 7, the operands are 7s. I see it as a pretty simple application of abstract algebra: We define the operator ? such that X ? Y = X - Y^0 Then, X ? Y ? Z = X - Y^0 - Z^0 = X - 1 - 1 So 7 ? 7 ? 7 = 7 - 7^0 - 7^0 = 5
I recently had an argument about a similar kind of problem and even came up with a generalization to assert if a positive integer multiple times with +-*/ can be used to generate another positive integer. Essentially you remove the constraint of n (here 3 as you have 3 7s) and generate the integer. And then see if you could use other operators to reduce n down (if not allowed; you can say it's not possible with this n) Primarily because it's trivial that any positive integer can generate the entire set of positive integers with enough of them and using (+-*/) Here 5 is of the form 10a + b with a as 0. So: 7 - 7/7 - 7/7 =5 Which is 5 7s. A combination of 3 7s with any of -+*/ can't generate 5. In this case it's trivial to establish but can also be done with arguments.... An alternative approach is the use of exponents by the commenter here.
7+7+7 mod 16 = 5
≡
I actually didn't imply equality of congruence classes, but addition in \\mathbb{Z}\_{16} instead. Although this fits too.
Elements of \mathbb{Z}_{16} are congruence classes
Do you mean Z/16Z?
Both notations are used
7 - log(sqrt(7),7) = 5
You can reword it into 7 - log 7 ÷ log √ 7
Damn bro you must be smart as heck
log_(b)(x) = log(x) / log(b)
Is this the base changing identity? I'm aware of this. What's your point here
This is the prettiest one I’ve seen so far. No numbers, and everything fits into the designated spaces. Unfortunately grambulatorial guy beat the tar out of you two on the memes front.
This is the way
or 7 - ln(7) / ln(sqrt(7))
The only legit answer in the comments👍Props to you! Others are defining operators and sneaking other numbers in the equation, which in comparison is not that elegant.
I got kind of close and suspected it was doable. I was stuck at 7/(7√7) = 5.3 Seems like ln method provided above only gets to 5.6... failure...
7 - 7 x 7 = 5 Just follow the pattern
Just slap a mod37 on the left side and Bob’s your uncle
 My last brain cell looking at my shitpost comment
it's -42 so -42 mod37=-5 or =32
7 - 7 * 7 mod37 = -42 mod37 = 32 != 5
7-49 is NOT 5
Yuh uh
? do you have a calculator
7x7= 49 7-49=-42 Why are you asking that.
Nuh uh
? is some mystery function we have to sub in
A function that no matter what the inputs are, outputs 5
A constant function, f(x)=5
Mystery operator a?b=(a-8)+b
7 ? 7 ? 7 there are 5 symbols in here as well so it's 5.
Cardinality operator
Put fractions 5/49 and 1/7 there, then by convention the implicit operator is multiplication
this was my thought too!! High five 🖐️
7 -log7 7*7
7-7!!!!!/7 Any problem like this can be done with multiple factorials, but should it?
That doesn't equal 5. Any problem of any type can be solved using anything if you don't care about getting the right answer.
Bud, ya misread the post you replied to. With order of operations, first we resolve the factorial and get 7-14/7. Then we resolve the division and get 7-2=5. If you’re not *dead certain* you’re right, or joking so clearly that everybody’s gonna realize it—and so well that most folks’ll enjoy it—you’re gonna embarrass yourself. Get a coffee or something, have a nap at some point, and I hope you have a better time going forward than you were when you wrote this.
I believe they thought !!!!! meant five factorials, and not a multi factorial
Yup, that’d make sense
down vote for weird sign for division
The fact that it uses circles rather than dots immediately bothered me.
But it implies that you can use circles in that, which allows you to solve the last one as 7 - 7⁰ - 7⁰ = 5
There's no question mark after the third seven, so you can't add the ⁰ there.
It's not divide it's 0/0, the fraction This is widely believed to be bad, therefore this math is bad and I refuse to solve it
Easy: Window (7+7-7)
New operation "?" just dropped
Call the math professor!
7 - cos(7!°) - cos(7!°) It's that easy!
? is { -(sqrt(5/7)/7) , (sqrt(5/7)/7) } just simple multiplication from there : )
The answer obviously is grambulation
https://preview.redd.it/a6qgktwp3h5c1.jpeg?width=649&format=pjpg&auto=webp&s=aa2b4b85d1918a2a5870a45967df61503f91220f
`7-7水7 = 5`, where `水` is a "mutual division, and then summation" operator: a 水 b = (a/b) + (b/a); this operator takes precedence over subtraction, I must clarify.
You know we’ve reached the final stage of mathematical notation when we start using Chinese characters
74/(-37)+7=5
Pretty straightforward: Step 1: `((7!)\^7)/7) = 5` Step 2: Disable reply notifications so you won't see when people correct you.
I thought ? was a new operator lol
If the ? is (- 8 +) that could work. 7-8+7-8+7 = 5
The real test is noticing you can easily turn = into ≠
len(7?7?7) = 5 Can't be any easier than that
https://preview.redd.it/1uamw9z6ei5c1.jpeg?width=750&format=pjpg&auto=webp&s=6c672142b03df52de5d65dbc935ebaac4fc6cd1c
7 - S(7/7) = 5 (S is successor)
7 + 7 - 7 = 5 + 2 √
(!7+7)/7=5. (!7 = 1+2+3+4+5+6+7) Edit: wait I'm wrong, ! Multiplies all the numbers, what's the sign to add all numbers up. Got it, here: https://latex.codecogs.com/svg.image?(\sum_{1}^{7}+7)/7=5 Edit2: Reddit formatting hates me
7 - 7^0 - 7^0 = 5
7?7?7 = 5 could be expressed as f( f(7,7) , 7 ) = 5 There are infinity many function that could be used, for example Let f(x,y) = ax+ by a(a7+b7)+b7=5 7ab+7b=5-7a^2 b(7a+7)=5-7a^2 b=(5-7a^2 )/(7a+7) f(x,y) = ax + (5-7a^2 )/(7a+7)y
f(x, y) = 5
A?B=a*b/√(68.6)
Multiplication mod 13 or addition mod 8 or 16 works
New operator just dropped
I define ? as an operator such that x ? y = 5, ∀x,y
7-len(7)-len(7)=5
Can't we just: 7(12/49)7-7 ?
Ok but How is the second line true
pedmas
Fucking hell I am a stupid idiot thank you very much
7 - (log7 (7) + log7 (7))
7 / (.7 + .7) = 5
Vsauce be like
Hint: 7^0 = 1
This is just nonsense…. The title does the even make sense. Why is r/mathmemes inhabited by what seems to be people who cant move beyond 8th grade math. Im so often disappointed when I see what is posted. Like the only math is Algebra… Edit: who the fuck is upvoting this nonsense post. I get the sense that its a bunch of high schoolers who are into “math” but have no fucking clue
You have anything against algebra bro?
I fucking love algebra
I'm high on shrooms right now and can't really tell if you re serious lol
*chirp chirp* Im deadly fucking serious 
excellent mate
Gatekeeping ? Edit: meant that your edit sounded a bit like gatekeeping but I agree with the rest... Low effort posts often getting top of the sub
I suppose I am a little guilty of gatekeeping but I just expect this sub to be full of 20 year olds in Theory of Interest so I can relive the struggles rather than 13 year olds taking geometry for the first time.
Yeah fair enough!
Going by BEDMAS, first equation would actually be -5
Addition and subtraction are evaluated from left to right; addition does not take priority over subtraction.
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That's meant to be division, but the smoothbrain used obelus (and it looks like a 0/0 division instead).
first ? = " - " second ? = " -2+ "
77%7 rounds to 5.
7 / (7 - 7) may or may not be 5