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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.

6283 questions
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Power / Root function issue

I'm having trouble finding the answer for this, or really any Nth root problem. Here is the particular problem that I cannot figure out. A simple explanation of how to solve this would go a long way, thank you. Evaluate the function…
stytown
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solving Multi operation equations correctly

Is it possible to solve an equation with different operations in it correctly without using orders of operation? I was having a discussion with my friend who believes you can solve an equation from left to right no matter what the operations are. I…
Amanda
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a tax Deferred keogh account

Suppose you contribute $20,000 in an account at the end of the year.How much would you have at the end of 20 years if the account pays 8% annual interest.
mary
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Tricks to simplify basic arithmetic expressions?

I am doing a problem set and have several formulas that are quite ugly such as $$b=\left(\frac{3p_b}{2p_r}\right)^{\frac{1}{\rho-1}} \left(\frac{m}{p_r + p_b \left(\frac{3p_b}{2p_r}\right)^{\frac{1}{\rho-1}} }\right)$$ To see if any of them can be…
Stan Shunpike
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simplifiying an expression $(n + 1)! − 1 + (n + 1) \cdot (n + 1)!$

I've been stuck on this one problem and I have a problem on the process simplifying this equation so that it is $(n + 2)! − 1.$ $$(n + 1)! − 1 + (n + 1) \cdot (n + 1)!$$ If anyone could shed some light on this matter, please.. Basically how would…
Anonymous Platypus
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Multiplication problem.

What would be the value of z in this question? If $z=2,$ the relation becomes $22\cdot wx = 594,$ which gives $wx=27.$ Partial product of $22\cdot 27$ is $154 + 440.$ It's incongruous with the partial product given in the question. $z=3$ is…
ColdStorm
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Two minus signs make a plus

Why do two minus signs make a plus sign and is there a corresponding rule for division and multiplication signs?
user226105
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Dividing fractions

When dividing fractions, you can find the quotient by multiplying them with the second fraction reciprocated. e.g. 5/6 divided by 7/8 = 5/6 times 8/7. Why does this work?
user226105
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How to find the first and last n/2-digits from an n-digit number?

I have an n-digit number, say X. Now, what-is-the/how-can-I-come-up-with-an equation [or function] that I should use to get the first n/2-digit number and second n/2-digit numbers from the n-digit number? For example: X = 1234 ; n = 4 a = 12 (first…
Sangeeth Saravanaraj
  • 103
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significant figures in a product

If I take a digit like $5$ (say in m) and multiply it by a digit say $5$ (in m) then I will get $25$ ($\mathrm{m}^2$---an area). Now, $5$ can be expressed in Scientific notation as $5 \times 10^0$ to show that it has $1$ significant digit. But then…
user11206
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Is there anything (even something weird or fancy) that you can multiply by zero and not get zero?

I'm wondering if there's any kind of "imaginary anti-grassmann" (for lack of a better idea) or some strange object or other in math that you can multiply by zero and somehow not get something other than just zero? For clarity, the answer I'm looking…
Mason Cloud
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What does it mean if a number has a remainder of 1?

I have this problem: linesize = 20 counter % linesize == 1 // what does this line mean?
malhobayyeb
  • 421
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Simple odds calculation

I'm stuck with a simple expression creation problem. I'd like to express odds by removing values from $100$ and arriving at a number. Every variable I use has value, that can either be $+10$ or $-10$, for instance. How do I factor this into an…
Predrag Beocanin
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Show an arithmetic progression has infinitely many elements

How would I Show this arithmetic progression has infinitely many elements. $$A_{a,b}=\left\lbrace a+nb:n\in\mathbb{Z}\right\rbrace$$
shelly
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Problem with arithmetic series

Define the arithmetic series if $A_3 + A_7 = 28$, $S_{10} = 155$. We have this for homework, I browsed the internet and I tried to find a formula or the way but there is nowhere I can find anything. Can someone at least guide me through the first…
John
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