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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Order of Operations Game Solution

My AP Computer Science teacher likes to play a game with his students where he writes 4 random numbers on the board and a fifth, target number. The objective is to use the four basic operations (+,−,×,÷) to get the target number. Each number can…
Eric Roch
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Mathematical term or equation to describe arithmetic pattern

First off, this is a badly titled question because I'm unsure of how to word the problem. Please suggest a better title. The sum of $55,555$ and $33,333$ is $88,888$. If I change the first digit of each number, the maximum that their sum can change…
Mohamad
  • 123
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Cube roots answers

So I am in a middle of a problem and I got stuck at cube root of $8$. I know the answer is is $2$ but my book is showing a positive and negative 2. I thought that cube roots had only one answer. Please confirm which one would be correct and thanks
Dhondup Tenzing
  • 51
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Deriving Simple Interest from given compound interest of 3 years.

Here's my problem : If the compound interest on a sum of money for 3 yr at the rate of 5% per annum is Rs 252.20, the simple interest on the same sum at the same rate and for the same time is ? Can you please elaborate how to solve this question. I…
Nikhil Sharma
  • 125
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dividing polynomials using long division

I'm not following logic of using long division on polynomials. If you are using regular long division, we would do the following: +---------- 2 | 86 How many times does 2 go into 8? 4. Multiply 2 by 4 and drop down the next tenth…
JohnMerlino
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A simple arithmetic problem

In a field grass grows at uniform rate ; If the field can feed 36 cows for 4 days , 21 cows for 9 days , how many cows can be feed for 18 days ? My solution : Let $x$ be the initial amount of grass before the cows start eating ; let $y$ be amount…
Souvik Dey
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Calculate Hourly vacation accrual

I'm try to calculate vacation accrual for 40 hour week for an employee who is allowed 15 days vacation per yer.if the number of business hours per year is 2080,that means his accrual rate is 40/2080= 0.019231 per hour.So for each day,the employee…
Napstar
  • 111
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Does a number get destroyed when it is multiplied by zero?

We consider following subtraction- $$3-1=2$$ If we subtract 1 from 3 than result is 2. in This operation 1 is not destroyed but only replaced from 3 now we consider following equation- $$1\times 0=0$$ in this multiplication, what happened…
Vinod Choudhary
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How to properly expand this summation?

I have the following summation: And I'm tying to expand it... I'm not sure this is correct and I need help fixing it. i = {0, ..., 9} j = {1, ..., 8} Here's my attempt: x01 + x02 + x03 + x04 + x05 + x06 + x07 + x08 + x12 + x13 + x14 + x15 +…
rfgamaral
  • 165
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Simple Elementary Word Problem

I'm trying to help my little sister out but I can't seem to figure it out. Here is the question: John fish weight 8 times as much as her parakeet. Together the pet's weight 63 ounces. How much does the fish weight? The only answer I can think…
TheChessDoctor
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How does this card trick work?

Pick a card from the deck and keep it secret. Double the face value of the card (aces = 1, jacks = 11, queens = 12, and kings = 13). Add 3 to the result. Multiply this by 5. Add 1 if the card is a club, 2 if it is a diamond, 3 if it is a heart, and…
user178008
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Approach GCF and LCM problems

I am having difficulties with a problem from my exercise sheet for a University exam. The problem statement is as following: When dividing a number by 12, 15 or 48 there will always be a remainder of 10. If the number is the least posible, how…
Kenny Meyer
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Arithmetic regarding area under curve

I am looking at a textbook example but I am not able to go from where I have set the question mark and to the where the arrow is pointing. Could someone please explain where the x's are coming from and how they have done it?
ALEXANDER
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Why if $x>2 \sqrt x$, then $\sqrt x > 2$?

I don't understand this step: $$x>2 \sqrt x \Longrightarrow \sqrt x > 2$$ ($x\geq 0 $)
Voyager
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Evaluate $\sqrt{2x} \cdot \sqrt x$

So I have this problem: $\sqrt{2x} \cdot \sqrt x =\ldots$ I already have the answer which is $x\sqrt2$, but I just can't understand it. Someone that could help?
didnotcomeuptosomething
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