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.

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Zero is an even number: explanation on wikipedia

I read on Wikipedia about that zero is an even number. Oke, that it is through. But now the explanation they have given: Why zero is even The standard definition of "even number" can be used to directly prove that zero is even. A number is called…
LikeToDo
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Simplifying $\frac{16^{x+1}+20\ (4^{2x})}{2^{x-3}8^{x+2}}$

I'm struggling trying to simplify $$\frac{16^{x+1}+20\ (4^{2x})}{2^{x-3}8^{x+2}}$$ Here's my attempt: All of these coefficients can be converted to base $2$ exponentials. $$\frac{2^{4^{(x+1)}}+20^\ (2^{2^{(2x)}})}{2^{x-3}2^{3^{(x+2)}}}$$ Doing some…
sangstar
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Annual payment of money lent

What annual payment will discharge a debt of $\$770$ due in 5 years, the rate of interest being $5\%$ per annum? What I am doing is $(5\% \text{ of } \$770 ) + (\$770 / 5) = \text{ annual payment}$. The book which I am referring to gives $\$140$ as…
Jigar Trivedi
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What is 6/2(3), 1 or 9? According to PEMDAS M > D so it should be 1!

Pretty much what question says. 6÷2x3 = 1 or 6÷2x3 = 9 Given PEMDAS, I'd bet 2x3 = 6, 6÷6 = 1. otherwise person would have put parenthesis. But google and wolframalpha say 9
Muhammad Umer
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Arithmetic Sequences Problem 54

What is the sum of all integers between 1 and 6000 which are aren't divisible by 5 or 4? The only method I could think of is finding all the multiples of 4 and 5 between 1 and 6000 and adding them together. Then finding the sum of all the numbers…
Valerie
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addition on sets

I would like to know if there are known methods to solve arithmetical operation on sets, like $A+X=B$ where $A+X=\{a+x,a \in A, x \in X\}$. I suppose that even if this can't be solved for the general case, there could be some known results with…
user456738
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Doing arithmetic in one step

Let's say you have $0.5\times 1.5 \ x^2 - (0.5\times 3.2 \times 1.5) = 23 $ or something similar. Is there an easy way to just get $x^2$ in one step?
JohnPhteven
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On prime numbers .

For $$a\in \mathbb{Z}$$ and "$p"$ a positive prime: And : Gcd(a:p)=1 Prove that : $$\left( \forall k\in \mathbb{N} \right):a^{\left( p-1\right){p^{k}}}\equiv 1\mod p^{k+1}$$
Nima Dible
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Number game and divisibility: what is the proof that this trick (divisible by 8) works?

The number game is part of the longlasting French game "des chiffres et des lettres", which in UK is also known as "Countdown". Short description: you have 6 tiles corresponding to numbers, and you must use all 4 operations (add, multiply,…
fge
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Calculating unique "damage-per-second" for a game

I'm having a little trouble reaching a conclusion I'm happy with. The following is an "ability" for a game, which has a damage output and a "cooldown". The cooldown is how long I must wait before I can use the ability again after it has been used,…
john smith
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why my calculator shows $10\%9=0.9$

When I search in Google it shows me correct result $10\%9=1$ But in my calculator I get $10\%9=0.9$ Let me know the reason soon and if you have great solution that would be appreciated.
Bala
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We talk about Average speed and Average time, why not Average Distance?

Ok, this might be a silly question, but nevertheless, this being quite fundamental, I would like a sound answer. While solving arithmetic problems, we encounter problems where Average Speed or average time taken is asked, but why is average distance…
That-Kickass-GirL
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Simple arithmetic problem need help?

I'm working on finding how exactly the answer to below problem was obtained. *An organization with $100$ employees produces $10,000$ dollars a day. Each employee has a computer connected to the network; the network is connected to the Internet.…
asadz
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How to find the prime factorization of $100!$.

How can we find the prime factorization of $100!$. My only idea is to write it as, $$(1)(2)(3)(\color{red}{2})(\color{red}2)...$$ And count the factors. But that would take way to long. Any ideas?
Ahmed S. Attaalla
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How do I add decimal expansions without a calculator

Really not sure how to go about the two questions here and I have not been able to find something similar like this online. Would appreciate anyones help on how to answer the two questions! Thank you in advance.
Jordan
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