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
1 answer

Why dividing a number with a float powered by a big number ends up being a really big number instead of a small number?

I had a problem where I needed to find the result of the division of 2 positive large numbers. $n1$=$29865^2$ ------- $n2=$$1.5*10^{11}$ When I divided them I got the result of $5.946*10^{19}$ but the correct was $5.946*10^{-3}$ which can be…
Ryan
  • 1
0
votes
3 answers

How to solve percentage of new

I am good with all percentage questions except finding the original price of something. If I had a coat that cost $120 after an 8% increase, how do I formulate the original price before the increase?
Hermes Trismegistus
  • 429
0
votes
2 answers

Calculate left and right position of 2d elements

I'm trying to calculate the left and right position of a grid layout. This is the information I have: ContainerWidth: 960px; GutterWidth:20px; (GR + GL) NumberOfColumns:16; (C * 16) ColumnWidth:40px (C) I need to…
Shannon Hochkins
  • 145
0
votes
0 answers

Does the Distributive Law of Multiplication ever fail to be true?

Is there any situation in which the Distributive Law of Multiplication is false? For a specific concept, expression, whatever may it be. Is it safe to say that it will always be true, no matter the context?
Gabriel Silva
  • 1
0
votes
0 answers

How to calculate the upper bound of the quotient resulting from division when you are given the significant figures for the dividend and divisor?

I've been helping my son prepare for math exams, and we've been reviewing lower and upper bounds for numbers, given the number of decimals places and/or significant figures. However in his study materials he's been given the following question to…
Curious Jorge - user9788072
  • 117
0
votes
1 answer

Dividing before decreasing going wrong in this arithmetic problem. Why?

A train driver earns $100.00 per trip and can only travel every 4 days, which is the duration of each trip. He only wins if he makes the trip and knows that he will be on vacation from June 1st to 10th, when he will not be able to travel. His first…
VoolPix
  • 3
0
votes
0 answers

Calculating average price of instrument

I would like to calculate the average weighted price of an asset based on purchase orders. I thought it would be total cost / total amount. But looking at the following sequence: operation units price total units total cost average…
Elad Weiss
  • 101
0
votes
0 answers

How to find number of items per page and offset

I want to know number of items in a page and offset. For example, I have 20 items in an array and per page 9 items. Page 1, the number of items is 9 and offset is 0-8. Page 2, the number of items is 9 and offset is 9-17. Page 3, the number of items…
nanakondor
  • 103
0
votes
2 answers

If $r\in(0,1)$ is rational and $m$ is a positive integer, then $[rm]+[(1-r)m]=m-1$ where $[\cdot]$ denotes the integral part

Let $[\cdot]$ denote the integral part of a real number, that is the only integer $a$ satisfying $a \leq x < a+1$. Let $0
user84782
  • 11
0
votes
1 answer

How to solve this problem on alligations with a precision?

Problem: " A milkman brings 100 litres pure milk from a daily farmer and he sells 10 litres of it to the first customer, then he refills his vessel by adding 10 litres water. After this, he proceeds to the next house and sells 10 litres of it to the…
Black Panther
  • 1
0
votes
0 answers

Addition and subtraction by natural algorithms

We compute additions and subtractions to model phenomena in Nature. That's perfect. In our first learnings, we play with stones, by arranging them on one side to add and by eliminating pairs, common to two piles, to subtract. And then later, we…
Frederic Dijoux
  • 1
0
votes
0 answers

Maximum number of composite numbers that can be produced for a set of numbers

Assume a set of numbers {2, 3, 4} where n is 3, or the size of the set. Is there a way I can calculate the total unique composites that could be produced from pairs in that set? The total number of unique pairs is (n(n-1))/2, but this does not…
cardycakes
  • 133
  • 5
0
votes
1 answer

Are fractions the same as division? (based on the problem: 8÷2(2+2))

If division is the same thing as a fraction, the expression 8÷2(2+2) can be written as: $\frac{8}{2(2+2)}$ $=\frac{8}{2(4)}$ $=\frac{8}{8}$ $=1$ In this case, the result would be 1. But if you solve it following the order of operations, the result…
AdministrativeCow
  • 11
0
votes
2 answers

Multiply by 11, regardless of Base

When I was doing some hexadecimal calculation, I found that a trick that I've known that it exists in decimal arithmetic, also exists in hexadecimal one, that is, the shortcut for multiplying by 11. Here are some examples, multiply some decimals by…
Michael Lee
  • 128
0
votes
2 answers

The square root of a number and the plus or minus sign.

I get why $\sqrt{9} = \pm 3$. But (at least I think) the ± is there because there's a certain ambiguity as to which number was squared to obtain $9$. Does that mean that if we remove the ambiguity $\sqrt{3^2} = 3$ ? One argument could be that since…
Nathan Kim
  • 241
1 2 3
…
99 100