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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How would I rearrange this formula?

I have a project that I need an equation for, and it looks like this: $$W = \frac{V}{0.15} \times V$$ I need to rearrange the equation, so that V is the subject. So, in this situation here: $$\frac{V}{0.15} \times V = 106.666667$$ I would plug…
Karol
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How this total is coming wrong?

Three people check into a hotel. They pay \$30 to the manager and go to their room. The manager suddenly remembers that the room rate is \$25 and gives \$5 to the bellboy to return to the people. On the way to the room the bellboy reasons that…
user426
  • 223
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Why does this log simplify to this?

I was answering a question on integrating a log, but I don't understand one part: Why does $e^{1-ln4}$ simplify to $e^1/e^{ln4}$?
Newbie101
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Would exponentiation by non rational algebraic numbers also result in a non-algebraic number?

Exponentiation break closures. For example with the integers, exponentiation of an integer (other than $0$) to a negative integer can be a rational number that is not equal to any integer. With the rational numbers exponentiation of a rational…
Zuhair
  • 4,555
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Question on ratio

Substance A has butter to sugar ratio of 8:1 and substance B has butter to sugar ratio of 175:1. The whole of A is combined with part of B to get substance C of Butter to sugar ratio of 30:1. What ratio of substance B was used?
Kwame kwofie
  • 11
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Implicit multiplication order of operation

Possible Duplicate: What is 48÷2(9+3)? $\begin{equation} 48 \div 2(9+3) = ? \end{equation}$ Is the answer to that 2 or 288? What is the order of operations for implicit multiplication?
dting
  • 111
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Octal Multiplication

I'm taking an intro CS course for Math and my teacher has a horrible habit of only providing 1 example for each problem and then moving on - without even breaking down that example. Hence why I'm here. I am trying to figure out Hexadecimal and…
Andros Adrianopolos
  • 133
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Is this equation solvable? Bases

Not sure what to make the title. Let $f(x)$ represent the function that takes a hexadecimal number and returns its value in base 10. Let $x$ be a number in base 10. Can we solve $f(x) - x = y$? For example, choose $y$ to be, say, 400,000. Then can…
Prince M
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Prove that you can multiply using these steps

How to prove this? Think of a simple multiplication problem, I will use $22 \times 7$ Divide the first factor by 2; if the number isn't a whole number, floor it (e. g. $11 / 2 = 5$), until you come to $1$ Multiply the second factor by $2$ with…
user635053
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Is it possible to determine whether a number, can be made from 3 (or 4) others?

I am writing a numbers game involving 3 (or 4) die. The person has to make a number (from 1-25 for 3 die, and 1-100 for 4), and get from one end of a board to the other. For example: Dice 1 = 3, Dice 2 = 5, Dice 3 = 4 Player chooses 60: (3 * 4) *…
HillInHarwich
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How to do long division of 5555 / 55

I know this might seem silly, but I am having trouble performing step-by-step long division on $5555 \div 55$. My main problem is that I don't know when or what the rule is about putting the zeroes. I end up with eleven the way I was taught to…
CodyBugstein
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Why do addition and subtraction have the same precedence?

According to the Wikipedia page of order of operations Addition and subtraction have the same precedence. However, $5 - 3 + 7\neq 5 - 10$. Therefore, the subtraction must be done before the addition. Is there a concept that I am not grasping?
Cedric Martens
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Divide a number in unequal increasing parts according to a dynamic factor

There is a game where you need to gather money from people participating to it and when you have the total you need to divide it in order to put a "reasonable amount" for each of the n prizes they will be able to win. E.g. in general we usually make…
Frank
  • 113
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Multiplying Decimals seemingly violating Order of Operations

I'm on Khan Academy, learning how to multiply decimals, and in this video (around the 1:10 mark) Sal shows that if you're multiplying a decimal by a decimal, first you convert both into natural numbers divided by exponents of 10 and then multiply,…
SeriousLee
  • 253
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method of long division based on 10s complement

There are two ways of performing subtraction using ten's complement, using an algorithm similar to two's complement on most (practically all?) CPUs. Is there a good way to structure a division problem so it's convenient to use this algorithm? Here's…
Greg Nisbet
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