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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Is it possible make approximate estimation of variables values when having only differences?!

I hope guys here don't judge people by their first question :) For a naive, like me, I don't know what this problem formal name might be or even if this a worthy problem, but hopefully this won't deter anyone with knowledge from providing…
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Population growth - when will two populations be equal?

I have three populations a <- 100 b <- 100000 c <- 75000 Population a growths 10% per year while population b growths 1% per year and population c growths 2% per year. How many years are necessary for the total population of a be the same of b and…
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$A$ and $B$ can do a piece of work in...

$A$ and $B$ can do a piece of work in $10$ days, $B$ and $C$ in $15$days and $A$ and $C$ can do in $12$ days. $A$, $B$ and $C$ work together to finish the work. If they are paid $Rs. 15000$, how should the money be divided? My Attempt: In $10$ days,…
pi-π
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Can $a \pmod b$ be negative for any integral value of $a$ and $b$?

Given $a$ and $b$ are integers, can there exist a negative value for $a \pmod b$?
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I have a doubt in roman numericals

The below question, I am looking at the 80, They translated it as LXXX, but I can also write it as XXC right?
dada wilson
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Understanding $-2^2$ and $(-2)^2$

This question might seem a bit remedial to most of you guys, but this is my first math class after a decade out of school. This post is regarding the following: -22 I’m having a hard time understanding why the base is negative and not the…
NayoW
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thinking problem geometry

i need different views on this question. How would you solve it? If all iPhones were stacked, would they be taller than the tallest mountain on Earth?
Lina
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How to solve a Distance-Speed question where speed and distance are given but have to find a specific point in time?

The distance between Town A and Town B is 450km. Guy A travels from Town A to B at the speed of 80km/h; while Guy B travels from Town B to Town A at the speed of 70km/h. When will Guy A and Guy B meet, if both of them started at the same time? I…
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Gcd and harmonic sequence

Consider the harmonic sequence $$H_n = \sum_{k=1}^{n} \frac{1}{k} $$ Set $$H_n = \frac{a_n}{n!}$$ Prove that $\gcd(a_n;n!)=1$
curieux_2014
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Mapping two values, suggestion for better formula

Given values for original from 0 to 100, I need to calculate result where: original = 0 corresponds to result = 2000 and original = 200 corresponds to result = 200 Currently I am using this formula: result = maxValue - (original * coefficient) A…
Radex
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homework functions probability

If there are 4 movies, all starting at 8:30, running continually throughout the day. One movie is 3 mins long, one is 18 mins, another is 24 mins. and the fourth is 12 mins. What is the next time (after 8:30) that all 4 movies will be starting at…
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How can I calculate even intervals within a timestamp?

I know this is some simple thing, and I used to know it, but I just can't recall it. I'm writing an application that takes screenshots of videos in a user's library. If a video is 35 minutes long, I want to take five screenshots, which are evenly…
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How many combinations of ordered even and odd numbers exist that equal some integer?

Suppose we have $$x_1 < ... < x_{10}$$ where each $x_i \in \Bbb N$. Specifically, suppose $$x_1,...,x_5 \in 2\Bbb N$$ and $$x_6,...,x_{10} \in 2\Bbb N+1$$ Let $$\sum_{i=1}^{10} x_i = 271$$. How many possible combinations of $(x_1,...,x_{10})$ are…
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How to properly make step by step solution?

I had to solve this step by step, but teacher said that my solution is wrong, so I didn't get full marks. My solution is this: $\frac{16}{2} - 4^{2} - (-3)^{2}$ = $\frac{16}{2}- 4^{2} - 9 $= $\frac{16}{2} - 16 - 9 $= $8 - 16 - 9 $= $-8 - 9$ =…
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Adding/Removing round brackets question

I have these mixed numbers operation: $ 3 \frac 14 - 2 \frac 78 $ I can re-write this to: $ 3 + \frac 14 - 2 + \frac 78 $ Now, I have some issues with the negative sign, that's the part I am interested. I add round brackets to make things more clear…
Lino
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