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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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Why must a prime number be divisible by exactly two numbers?

I'm trying to understand why 1 can't be a prime number. Apparently, the reason is that a prime number must be divisible by exactly two numbers: itself and 1. For the number 1's case, since "itself" and 1 are the same number, 1 is technically…
Cruel
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What does ⎡ mean?

I am doing CS homework and the problem is asking what is the result of the following ⎡2.3⎤, problem is when I am googling it I am mostly yielding results that merely give the Unicode equivalent of the symbols, or I am getting full blown matrix…
Micah
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Why is knowing the total number of baskets unnecessary to solve this problem?

For the holiday, Isabella is putting Easter eggs into as many baskets as needed until she runs out of eggs. If she places 3 eggs into each basket except one, she'll have to place 2 eggs in the final basket. If she places 5 eggs into each basket…
user1086853
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How to "model" $\frac{6}{x-9}$

I'm working as a tutor and I got a question (from grade 9 no less) that reads "model: $\frac{6}{x=9}$. The only example I could get from the students was: Which...dosn't help - how do you emulate this when downstairs can change? Thanks in advance.
Muselive
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A question on compound interest?

$10\%$ compounded quarterly, what is the equivalent rate of interest with monthly compounding? Equivalent rate of interest$= (1+\frac{0.1}{3})^3 -1 =(1+0.033333)^3 -1 =0.1(nearly) =10\%$ Is this solution correct? I am not sure.
Irfan Ahmad
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Finding Next Occurence of Event

A math exercise of sorts, not work, not school, just some idea I have rolling in my head that I'm trying to get a concrete answer for. A revolutionary item was introduced in 1990, first of its kind. There were 111 similar/copycat items produced…
Darren
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Solve for $x$ in $(x + (a<>s = v$

Is there a solution for $x$ in $$(x + (a<>s = v$$ for $a,b,s,v$ positive integers? If not exact, is there an approximate solution? I tried $$(x+(a<
Rafaelo
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Do we not need to prove that Terence Tao's definition of the addition of natural numbers is true?

Definition 2.2.1 (Addition of natural numbers). Let $m$ be a natural number. To add zero to $m$, we define $0$ $+$ $m$ := $m$. Now suppose inductively that we have defined how to add $n$ to $m$. Then we can add $n$++ to m by defining ($n$++) + $m$…
Andrew Li
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Number line to number sentence

i have to solve a question.Question statement is : What number sentence does this number line not illustrate? options are a. $-4-(-3)+5=4$ b. $4+(-5)-3=-4$ c. $-4+3-(-5)=4$ d. $4-3-5=-4$ e. All of the above work I searched some youtube tutorial…
mathlearner
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Finding the ages of father and son without using algebraic equations

The question that I am about to request for your help is almost similar to the one that appears here. However, I am stumped by the wording of the question as it appears in the pages of an old math book from where I picked it up. Five years ago the…
Fruitjam
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How does the compound interest formula vary with inputs?

I saw this question recently and am wondering about the specifics: Alice has $\$10,000$. She saves $\$1000$ a year. The interest rate is $10\%$, and she retires $10$ years later. Which of the following leads to the biggest increase in her…
Allure
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Number of elementary operations to add 2 numbers each of n digits

If we consider an operation as the sum/division/substraction/multiplication between two single digit numbers, then the following was said in my class: If we sum 2 numbers of n digits each, then we need n elementary operations. But I can't see how…
imbAF
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how would write an equation where the answer can greater than, equal to, but not less than zero

how would you modify the equation a - b = c so that 'c' could not be less than zero. e.g. 5 - 3 = 2 5 - 4 = 1 5 - 5 = 0 5 - 6 = 0 5 - 60 = 0
Hemi
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Correlation between two equation that involves summing a series of number

Firstly, I apologize as I don't have strong mathematical background, hence this basic questions comes in this forum. Say I have a equations as below: $E_i = x_i/y_i$ $A = (E_1 + E_2 + E_3 + ... +E_n)/n$ $B =…
el-cheapo
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Can $a*b*c*d = d*a*b*c$ be true without associative property?

Let * be an operation on a set S where the operation * has commutative property but not associative property. Is $((a*b)*c)*d = ((d*a)*b)*c$ true?
platoDev
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