Mathematics Stack Exchange
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Questions tagged [arithmetic]

Questions on basic arithmetic involving numerical quantities only. Questions involving variable values (other than the result of the operation) should be placed under the (algebra-precalculus) tag. Questions about number theory (sometimes called "arithmetic") should not use this tag and should instead use (number-theory) or (elementary-number-theory).

Arithmetic is defined as operations upon numbers using $4$ main operations along with many others:

addition - the sum of two numbers

subtraction - the difference of two numbers also defined as the addition of negative numbers

multiplication - the area of a rectangle with sides of lengths equal to the two operands

division - the number of times one number can be subtracted from another before equaling zero. Sometimes it will allow decimals and in other cases there will be a remainder left over when a number doesn't go into another evenly

See Arithmetic.

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How to calculate two integers x and y when the sum of x+y is known and difference between x and y is known

I know this has a simple solution, but I can not come up with it. As an example, if two sports teams play a game and Team X beats Team Y by 28 points and the sum of Team X's score and Team Y's score is 62, then how many points did Team X score and…
Curious Dreamer
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BODMAS, definition of "orders"

I've struggled to find in google the exact definition of the word "orders" as used in bodmas's second operation. I know what it means (powers, indeces etc.) but I'm looking for the proper mathematical definition and how I could use it in a sentence.…
Eva
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Is it possible to find the operations (+, -, etc.) of an equation given a sum and values?

1 + 2 + 3 = 6 is a pretty straight-forward equation, but let's say you have something like this: 1 ? 2 ? 3 = 6 Where you have all the individual data points and the target, can you find "calculate" what operations to use?
Pontus Karlsson
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What formulaic character to use?

Imagine you wanted to express a very general thought as a formula. Said thought would basically presuppose the existance of a variable x and that some sort of calculation would occur with it. But what kind of calculation or value is going to be…
SomeGuy
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In calculating depreciation

If the rate of depriciation is more than 100%, the outcome in one would come 0 and next should come the negative value of the initial. However if we take a example, Initial = 500 Time = 2 years Rate = 100% The outcome in second comes in postive…
Ayan Sarkar
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What does it mean to say $x_{1} mod -x_{2}$ or $-x_{1} mod x_{2}$ when $x > 0$

I understand that $x_{1} \ mod \ x_{2} : x > 0$ is the remainder after dividing $x_{1}$ by $x_{2}$ ex: $5 \ mod \ 256 = 5$ but what does it mean to say $-x_{1} \ mod \ x_{2} : x > 0$ or $-5 \ mod \ 256$, I thought that it will be $-5$ but it's…
Omar Mohamed Khallaf
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can I understand the average salary of $~3~$ people in this case?

$$(x + y)/2 = 400$$ $$(y + z)/2 = 800$$ I need to know what is $$(x+y+z)/3$$
roglol
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Exercise: Construct two numbers using figures 4,5 and 6 whose product is as big as possible

Precisely what it says in the title. Construct two numbers using figures 4,5 and 6 whose product is as big as possible. I don't know whether I can use a same number again (4456, f.e.) or only 4,5 and 6 (I'm guessing it's this one). I could go about…
LocoVoco
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set of numbers created by arithmetic operations on a set

I recently went to a math circle where we discussed arithmetic operations on a set. The main goal was to find the set of numbers that could be made by using addition, parentheses, subtraction, and multiplication on the set {${1,2,3,4}$}. The…
sde7
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Please help me on this topic of division.

What type of division is this? And what is the procedure to solve this? And also which number is supposed to be the answer of the given problem?
Ahsan Shabbir
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How to work with jointly proportional variables?

Given that x is directly proportional to y and directly proportional to z and inversely proportional to w, if x=4 when (w,y,z)=(6,8,5), what is x when (w,y,z)=(4,10,9)? This was my working (sorry for images, I’m not comfortable with mathjax…
Jamminermit
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Why is raising to the 32nd power the obvious thing to do here?

I'm reading Don Knuth's "Selected Papers on Fun & Games" and early on there's a paper called "Representing numbers using only one 4". He does 64 and then starts to verify it like…
Stan Vest
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information theory find g(12)

i want to know how can i find g(12), is there a way beside trial and error way ? i know i can find g(n) that differ 1 bit from 1110 since it satisfy d(g(n), g(n+1))=1 such as 1010,1111,0110,1100 but this clearly not a good way to solve this…
fiksx
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$10x+7\equiv 2$ mod 25

$10x+7\equiv 2$ mod 25 Solve for x, Correct answer is 2,7,12,17,22 What method can we use to solve this problem? I tried and got this far: $10x+7\equiv 2$ mod 25 $10 x + 7 = 2 + 25n$ $10x + 5 = 25n$ $2x = -1$ mod 5
Daniel Andersson
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This problem has been giving me headache for past couple of days. Please, Solve it for me..

Ram completed a piece of work in 10 days. When the work was extended by 75%, Ram reduced his speed to (1/ A) times for the extended work. For the same extended work only, Ravi took (3.2B) days. If they worked together to finish the initial work…
Devesh Pandey
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