Mathematics Stack Exchange
Mathematics Stack Exchange

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.

6283 questions
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Real life water bill problem (want to check myself)

4 roommates are living in an apartment, then 2 of them leave. After 49 days, the remaining 2 get the water bill. The bill includes a period of 15 days where 4 roommates lived in the apartment. So 15 days of water for 4 people and 49 days for 2…
Gil-Mor
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Accuracy of Division of Large Numbers

The general rule when dividing two numbers is that the answer should be given to the minimum number of significant figures of the numerator and denominator. So, $\frac{0.43}{2.546}= 0.168892…$ but can only be reliably accurate to 2 s.f. (from the…
user481a
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Fill table so that sum of each row is positive and sum of each column is negative

Can we fill the table below with integer numbers such that the sum of each row is positive and the sum of each column is negative?
A.G
  • 799
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Justification for an Algebraic Expression

I have been struggling for the past few days trying to figure out an algebraic expression and solving it. The question consists of a kid spending ${$}20$ on pens and the options are ${$}4$ , ${$}0.50$ or ${$}0.25$ for a pen. This is the equations…
Ben
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Average score for the remaining people

If 1000 people have an average (mean) score of 3.92, and we know that 450 people had a score of 1, how do we calculate the average score of the remaining 550 people? Can we even? My head says yes but then blocks me to working out the formula to do…
Jon Holland
  • 119
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Problem with a proof of a statement about the arithmetic root of a rational number

Let $x$, $y$, $n$ be natural numbers and $(x,y)=1$ (the greatest common divisor of $x,y$ is 1). I wish to prove that if $\sqrt[n]\frac{x}{y}$ is a rational number then there are natural numbers $p$, $q$ such that $x=p^n$ and $y=q^n$. My…
user111
  • 95
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divide or multiply if number between 1 and 0

This is a math question in the context of an Excel spreadsheet. I have an Excel spreadsheet with 10 rows, where I am dividing the value in ColumnB by the value in ColumnA to create a new number like this A B New Number Bill …
Michael
  • 191
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Invalid Coin measuring?

Imagine 101 coins in front of you. All of them look the same, but it is known that among them there is a defect one, a coin that doesn't have the same mass as his friends. What is the smallest number of measurements on scales without weights that…
McLinux
  • 421
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Simplified form of $x^{10/3}$

I'm in a intermediate algebra class and am confused about how to get the simplified form of $\sqrt[3]{x^{10}}$ I tend to want to write it as $x^{10/3}$ creating a mixed fraction then simplifying that to get $x^{3}\sqrt[3]{x}$ However, when asking …
Brooke.
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Hexadecimal dividing $\frac{17a}{12}$ with remainder

How much is it $\frac{17a}{12}$ (in hexadecimal) I got $15$ with remainder $a$. Can someone confirm its true? Thank you!
Mor Haviv
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How to align elements on Y axis evenly inside a container that is smaller then the sum of the child elements?

How to align elements evenly inside a container (vertically), having the first element positioned top left (container X,Y) and the last right bottom (X,Y). I've been trying different calculations so far without success. The container is represented…
punkbit
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How to compute similarity between two numbers

Is there some metric for computing similarity between two numbers which takes values in the interval $[0, 1]$? I want something like: $sim(1,1) = 1$ $sim(1,2) = 0.5$ ... ... $sim(50,47) = 0.78$ $sim(100,99) = 0.99$ If two numbers are small, then…
jin-seo.lee
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Convert 5 N/mm to mm/N

My child was asked to convert a number to units in mm/N, from the number $5$ N/mm. How can I swap units from the denominator to the numerator? I appreciate any help you can provide.
Sandrine
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Which digit is represented by the # symbol?

So the 2nd column that has the $9$ has to equal to $39$, since there is a 3 being carried. I guess for the 3rd column there is no digits being carried, so the sum has to be less than 10. So i was thinking $0,1,2$ which is $6$ but is there a…
Caddy Heron
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When do I know a fraction is in lowest terms?

How can I tell when a fraction is in lowest terms. Example; $\frac{6599}{9999}$
Zduff
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