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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Betting System Payout Equation

I am currently programming a betting system. I am a little confused as to the logic for working out the payouts (math is not my strong point) I will explain this the best i can. Scenario: Max Bet = 500 Racers: John, Mark, Lewis, Kate Matt Bets 10…
Mattigins
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I need to prove a proposition about natural numbers

I am learning proofs with $\mathbb N$. Here is my proposition: For each $n \in\mathbb N$ there exists $m \in\mathbb N$ such that m > n. Here are my axioms: a)If $m,n \in\mathbb N$ then $m + n \in\mathbb N$ b)If $m,n \in\mathbb N$ then $mn…
Johnathan
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Proving the additive inverse of a sum is the sum of the additive inverses

I have this proposition to prove: For all $m, n, \in\mathbb Z$: $-(m + n) = (-m) + (-n)$ Proof: \begin{align*} -(m + n) + (m + n) &= 0 + 0\\ -(m + n) + (m + n) &= (-m) + m + (-n) + n\\ (-m) + (-n) + -(m + n) + m + n &= (-m) + (-n) + m + (-m) + (-n)…
Johnathan
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Arithmetic Time and Work related question

8 men can complet a piece of work in 20 days. 8 women can do the same work in 32 days. In how many days will 5 men and 8 women together will complete the same work? All I have is: Men's one day work = 1/20 Women's one day work = 1/32 Together, 5/20…
user1502
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Use of arithmetic progression to find the sum of numbers

How can I find the sum of numbers divisible by 3 that are between 1 and 1000 if I don't know how many elements there are in the arithmetic progression?
juliano.net
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$\frac{1}{0}$ is undefined. Is $\frac{1}{0}-0.5$ undefined as well?

I know that $\frac{1}{0}$ is undefined. What about $\frac{1}{0}-0.5$ it's undefined as well?
user161260
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Simplify the radical expression

Simplify the following: $$\sqrt{48 a^2 b^7}$$ All I have so far is 16 I think i forgot how to do this, can anyone help?
Karen
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Finding the bitrate of source

I am doing a math homework but I'm not understanding one part of the question. What would be the 32 intensity values in following question: Suppose that a digitized TV picture is to be transmitted from a source that uses a matrix 480x500 pictures…
HelpNeeder
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Two person working together

If Person A can deliver papers in 40 min, and person B can do the same papers in 50 min, how long does it take when they work together? This is a rational expression problem. Is there an easy, or not complicated way to do this? $\dfrac1{40} +…
Jake
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Converge on square root of 3 with tree.

If a rule is set for generating a tree whereby: both the children of a node with out-degree 2 each have an out-degree of 3; and the children of a node with out-degree 3 will have out-degrees of 3, 3, 2. Applied for several generations: this…
Chuck Short
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What is $10 \times 10-10+10$?

I was just surfing a social site and found this question posted by someone. People were arguing or different answers like 80, 100, 120. So, what is the correct answer for $10 \times 10-10+10$? I used order of operations (BODMAS) and got that the…
AR SMARTY
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Solve an inequality with fractions

How can an inequality with fractions should be solved ? Let say : $$ \displaystyle \frac{2}{4}\quad?\quad\frac{5}{21} $$ Please give me examples, information (step by step). I should multiply over-cross ' to see if the equation is…
user1022734
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Why Sum square of each pair of a group of numbers is N factor of sum squares of its elements difference from mean?

Consider we have some numbers for example $3,4,8$ that its mean is, $5$. It is easy to follow that, $$\left(3-4\right)^2+\left(4-8\right)^2+\left(3-8\right)^2 = 3\cdot\left( (3-5)^2+(4-5)^2+(8-5)^2 \right)$$. I thought and searched a lot for a proof…
CoderInNetwork
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Basic arithmetic

I can't understand how: $$ \frac {2\times{^nC_2}}{5} $$ Equals: $$ 2\times \frac {^nC_2}{5} $$ If we forget the combination and replace it with a $10$, the result is clearly different. $1$ in the first example and and $0.5$ in the second.
Jet_Set_Willy
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if $a+ b = 9 $and $ab = 1$. what will be the $a^3 + b^3 =$?

How can I solve this? Or, is it given properly? If $a + b = 9$ and $ab = 1$. What is $a^3 + b^3 = $?
Rufat Nuriev
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