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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Why is every number which ends in 5 divisible by 5?

Is there more of an answer to this which is more than just 'it does'?
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Simplifying an equation step by step

I am not able to go from the left hand side to the right hand side. Could someone take me through the steps, I tried using common denominator (y^2-x)^2, but was not able to get the result on the right hand side of the…
ALEXANDER
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Common divisor of the form d = ax+by

There is a theorem that says that every pair of integers $a$ and $b$ has a common divisor $d$ of the form $d = ax+by$ where $x$ and $y$ are integers. Is it true that $d$ is also definitely the greatest common divisor of $a$ and $b$? Why is that so?
darkgbm
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Vector Image Representation on 640X480 Screen

Im trying to learn Computer Graphics. I have the following statement For the representation of vector images, we assume that a typical image consists of 500 lines [BHS91]. Each line is defined by its coordinates in the x direction and the y …
techno
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What is the name for a number plus itself?

I'm asking out of curiosity more than anything else. A number multiplied by itself is squared, is there a specific mathematical term for a number plus itself? $(n*n = n^2, n+n=?)$
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Greatest possible length to measure given lengths

I was given a question to find a greatest possible length to measure $495$, $900$,$1665$ (in centimetres). The solution is finding GCF or GCD or HCF (highest common factor) of these numbers which is $45$. How does this works in real time, please…
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What is the smallest number x such that $180\times x$ is a perfect cube?

What is the smallest number x such that $180\times x$ is a perfect cube?
Bev
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Is this correct - Rs.1 is equal to 1 paisa

yesterday got a SMS, and can any one explain it.... One Re= 100ps =10ps x10ps (Notice the how the equation goes haywire from here) =0.1Re X0.1Re =0.01Re = 1 paisa confused... can any one explain it...
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Grade 4 level arithmetic maths problem that I can't work out

My grade 4 son was given this problem as homework, except I can't even seem to work it out! Any help is appreciated. Each student in year 4 was asked to bring a paint tin, a paint brush and glue for art. Each student brought at least 1 item. 18…
Ann231
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Compositional form of arithmetic mean of ratios

I would like to know if it is possible to calculate the arithmetic mean of a series of ratios: $$A=\frac{1}{n}\sum_{i=1}^{n} \frac{x_i}{y_i}$$ in a compositional fashion. What I mean by that is that I would like to calculate some function $f(x_i)$…
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Change of the average when a number is removed

The average of 21 members is 30. The largest number is 50. If we remove the largest number then the average of remaining numbers will be?
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Metric System vs Imperial System: general considerations about algorithms and college math

This is probably a dumb question but i'm just curious, and since i do not lives in the USA or in Canada i want to ask that: switching from one system to another can affect the property and the reliability of an algorithm? I know that you are…
Micro
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How to work out the percentage?

I'm not exactly sure how to do this. I know the answer is $£64,000$ but whatever I try, nothing is working. i.e. $£80,000$ x $25%$ $= 2,000,000$ devided by $100$ $=$ $20,000$ $£80,000 - £20,000 = £60,000$
itshanks
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What do you call this arithmetical property and how do you prove it?

I think I can prove this property only when exponents are integers. But here is my example: $a(x-b)^{1/2} = (a^2x-a^2b)^{1/2}$ This type of foiling is weird and I wish to see a proof of this. Namely, for integer exponents I thought I could do…
DLV
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Profit, Loss and percentage problem.

A dishonest businessman professes to sell his articles at cost price but he uses false weight by which he cheats by 10% while buying and 10% while selling. find his profit percentage?
R.Chakraborty
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