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
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If "A", "B", "X", and "R" respectively denote "divided by", "added to", "subtracted from", and "multiplied by", then evaluate "18R12A4X8B6"

If "A" denotes "divided by" "B" denotes "added to" "X" denotes "subtracted from" "R" denotes "multiplied by" then $$18R12A4X8B6\;=\;\text{?}$$ $\left(A\right)50 \quad\left(B\right)102 \quad \left(C\right)45 \quad \left(D\right)32$ My…
Mohan Sharma
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How can you multiply decimal values without using a multiplication or division operator?

I figured out a problem challenging me to write code to do this with integers, but I was wondering how I would have done it if it had been decimals and I couldn't figure it out.
temporary_user_name
  • 693
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Mathematical transpose in excel

I'm currently working in excel, and I have to mathematically transpose a few cells (10*10 or 5r*10c): ------------------------------- | .. | .. | .. | .. | .. | .. | | 21 | 22 | 23 | 24 | 25 | .. | | 11 | 12 | 13 | 14 | 15 | .. | | 1 | 2 | 3 | 4…
user59048
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How can we distribute 100$ to get the highest % (Equations)

How can we distribute 100 dollar on those 5 levels below to get the highest dollar amount. Those 100 dollar needs to be distributed on ALL 5 levels. You can not only put in on level 3 which would be the optimal. How can we do this to find out the…
Andreas
  • 101
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Difference in boiling points ( temperatures) of 2 elements

In a chemistry class, students were learning about boiling point of various elements.Reuben has compiled a table that gives boiling points of each of various elements. The lowest boiling point is of Element X: – 200 degrees Fahrenheit. The highest…
pearl12970
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How to prove that if a figure in a number changes, then the rest also changes.

We have a 8 figure number, lets call it $N_1=a_1a_2a_3a_4a_5a_6a_7a_8$. Prove that if we interchange two numbers (for example $N_2=a_1a_2a_4a_3a_5a_6a_7a_8$ and $N_1 \neq N_2$) then the rest we get by dividing $N_1$ and $N_2$ with 23 isn't the…
Andarrkor
  • 602
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Changing Numbers To Prescribed Values Under Special Limitations

$x = 1825 + \large \frac{91}{1217}$ $y = 7 + \frac{2}{3}$ $z = 1827 + \frac{2}{3}$ Is there any way to turn $x$ into $z$ only using the first two terms, and/or a constant, and the operators '$+$','$-$','$*$','$/$'. I know I can take $((x)-(x \mod…
Peregrine
  • 111
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I need help proving $2-\frac{2(j+2)}{2^{j+1}}+\frac{j+1}{2^{j+1}}=2-\frac{2j+4-j-1}{2^{j+1}}$

This seems simple, yet I just can't figure out how the LHS equals the RHS. Why do the terms $j$ and $1$ suddenly become negative? $$2-\frac{2(j+2)}{2^{j+1}}+\frac{j+1}{2^{j+1}}=2-\frac{2j+4-j-1}{2^{j+1}}$$
Boris Grunwald
  • 431
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Find tax percent given tax amount and total amount

First, I will start with example ... for example meal price is : 105  and meal total price + the tip is : 120 so left with : 15 how I can tell how much % the 15 is from the 105 (meal price)?
dorcohen kc
  • 19
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What's the fuss about performing operations from left to right?

When I learned about BODMAS / PEMDAS rules in mathematics. I was told to follow certain rules. For example if I have this expression: $3 − 2 + 4 − 1$ and to solve it I was told to always go from left to right because addition and subtraction in this…
user963241
  • 649
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How can you calculate the points and then to result an exact percentage?

I really want to know. Let’s say, your math teacher gives you a test, and she marks each subject different points. Ok, and if I done let’s say, half of the test correct, then how can I calculate in the way that gives me the exact percentage? I…
Alex A
  • 107
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Integers whose digital sum in base 10 is the same as digital sum in base 2

I am looking for the least instance of two and three consecutive positive integers whose digital sum in base 10 is the same as their digital sum in base 2. What is the length of the longest run of consecutive of integers with this property?
Bernardo Recamán Santos
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standard divisor

So in my math class, the solution for finding the standard divisor is: 20,000 / 18 = 1, 111.111111 The class round it to the whole number, so 1,111. We still get the same number of representatives and standard quota. Our reason for using the whole…
Jem
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The value of $X$ which is exceeded $50 \%$ of the time in the duration of measurement

Measurements of some variable X were made at an interval of $ \ 1 \ $ minute from $10 \ \text{ A.M. to } \ 10:20 \ \text {A.M.} $. The data, thus, obtained is as follows: $ X : 60, 62, 65, 64, 63, 61, 66, 65, 70, 68, 63, 62, 64, 69, 65, 64, 66,…
MAS
  • 10,638
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The change in the percentage decrease

What is the value of the change in the percentage decrease? Given multiple values of percentage decrease, do we need consider the sign (i.e. '-') or just the numerical value is considered when comparing? For example, -2%,-3% and -4% are the given…
Ashutosh Mishra
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