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.

6283 questions
0
votes
2 answers

Converting units and currency

A supermarket in Japan sells soy milk for 398 yen per liter. If there are 83.35 yen per dollar, then what is the price in dollars per quart? Conversions that were given. Dollars per foreign =0.0120 Foreign per dollar 83.35 1 liter= 1.05669 My…
ttone
  • 3
0
votes
3 answers

Which is simpler, a mixed fraction, or an improper fraction?

My son's homework sheet says to solve problems like: (5) / (15/4) and to write the "quotient" in its "simplest" form. The crux of my question is, which form is generally considered the "simplest" from the two forms shown below? 4/3 or 1+1/3
Jace
  • 103
0
votes
2 answers

Getting the value of $n$

It's strange. I can't get the value of $n$. Could someone give me the step by step way of getting the value of $n$. The answer key says $20$. $$ 1+\frac{i}{n}=\frac{1+\frac{i}{4}}{1+\frac{i}{5}} $$
user175306
0
votes
1 answer

Use charts to calculate time frames

$$ \begin{array}{|c|c|c|c|c|c|} \hline \text{Artist} & \text{Bernard} & \text{Meg} & \text{Clayton} & \text{Ivy} & \text{Anderson}\\\hline \text{Number of}&&&&&\\ \text{Consectuive}&8&10&8&6&5\\ \text{Work Hours}&&&&&\\ \hline \end{array} $$ The…
user159778
0
votes
2 answers

Solving a linear equation

I need to solve: $$\frac{1}{2}\left[10\beta+(1-\beta)(-10)\right]-\frac{c}{i}= 5-c$$ for $\beta$ to get to: $$\beta = 1 – \left( 1 - \frac{1}{i}\right)\frac{c}{10}$$ But i get stuck somewhere in the middle with no idea what to do. does anyone knows…
mr.dont.know
  • 1
0
votes
2 answers

Multiplication of repeating decimal $0.3333\overline{3}$ by $3$

Let's start considering a simple fractions like $\dfrac {1}{2}$ and $\dfrac {1}{3}$. If I choose to represent those fraction using decimal representation, I get, respectively, $0.5$ and $0.3333\overline{3}$ (a repeating decimal). That is where my…
carlosrafaelgn
  • 115
0
votes
1 answer

Operations on a set of numbers to leave the median unchanged

Set Q contains 14 distinct numbers. Which of the following operations would decrease the average of set Q while leaving the median unchanged? A. Decreasing all 14 numbers by 2 each B. Increasing the 3 smallest numbers by 4 each and decreasing the 4…
user159778
0
votes
1 answer

get new base price base on this two items?

A sample first: 1) ProductA - purchased 100 quantity at 100 each - so the base price is \$100 2) ProductA - purchased another 100 quantity but this time at \$150 each. If we combine the two, the new base price would be \$125 correct? I just know…
officeboi101
  • 3
0
votes
2 answers

Inversing fraction

I'm having a little trouble understanding the logic behind solving the following equation: $(24/25)\times a = b \times \cos(12)$ we need to seperate a from the equation so it becomes $a = (b \times \cos(12) \times 25)/24$ Why does $24/25$ become…
23mathl
  • 3
0
votes
3 answers

Generiloze: the difference of two squares is equal to a odd number.

For example, 3 = 2^2 - 1^2 5 = 3^2 - 2^2 7 = 4^2 - 3^2 ... Is there a general formula to explain this phenomenon?
gedr
  • 225
0
votes
1 answer

$ \sqrt[5]{x^3} = (\sqrt[5]{x})^3 $?

$ \sqrt[5]{x^3} = (\sqrt[5]{x})^3 $ ? I would suppose so given that $ x^{3/5} = x^{3(1/5)} = \sqrt[5]{x^3} $ or $ x^{3/5} = x^{(1/5)3} = (\sqrt[5]{x})^3 $
Trux
  • 1,489
0
votes
2 answers

Divisibility rule for 22

Divisibility rule for 22: Under what conditions a natural number $N$ is divisible by $22$ ? My thought is The divisibility rule for $22$ is that the number is divisible by $2$ and by $11$. Divisibility by $2$ requires that the number ends in $0$,…
Educ
  • 4,780
0
votes
3 answers

How to solve for x in this eq

I'm doing a physics E&M problem, but I'm stuck on a math part. I can't remember how to solve for x in this instance. ${x\over 2} = {0.04-x\over 5}$
jsan
  • 345
0
votes
1 answer

How to break changes in ratios into two changes?

I am running into a real world problem. But I think this is more like a math problem. So here it is. Suppose I have $$A = B + C.$$ The $A, B, C$ in this period are called $A_{1}, B_{1}, C_{1}$. Similarly, $A, B, C$ in previous period are given by…
JasonSmith
  • 103
  • 2
0
votes
2 answers

Looking for a Formula to apply to a set of numbers (input) that will output a certain result.

Sorry for the crude title: I'm looking for a formula to apply to each element of an "input set" of numbers that will output elements in another "output set" with the following characteristics: The low numbers and high numbers in the output set…
Alex Lin
  • 1
1 2 3
…
99 100