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

Simplify fractional exponents

I am aware of the following rule: $a^{\frac{b}{c}} = (a^b)^{\frac{1}{c}}$ AND $a^\frac{b}{c} = (a^\frac{1}{c})^b$ I have a problem as follows: $32^\frac{3}{5}$ I simplify it: $(32^\frac{1}{5})^3$ The problem is it took me some time to realize…
JohnMerlino
  • 621
0
votes
1 answer

It is possible to prove that $a=b \Longleftrightarrow a+m= b+m ,\,\,\, \, \{a,b,c\} \subset \mathbb{R}$, or this is just an axiom?

It is possible to prove that $a=b \Longleftrightarrow a+m= b+m ,\,\,\, \, \{a,b,c\} \subset \mathbb{R}$ , or this is just an axiom? I'm curious if there is any demonstration of this simple statement. Thank you.
Voyager
  • 1,042
0
votes
1 answer

I have simple multiplication confusion, any help would be great

$(\mathbf60\times\mathbf60)$ Seconds = $3600$ Seconds or $60$ Minutes while $(1\times 1)$ Minute = 1 Minute What am I missing? and sorry about formatting i am new here on math network
user2009750
  • 101
0
votes
1 answer

Simplification of a simple expression

I'm going through an answer on this site, and I can't see how $7−2(31−4(7))$ simplifies to $9(7)−2(31)$ What rule is being used here? source: How to find the inverse modulo m?
jsan
  • 345
0
votes
2 answers

Right to left and order of operations

Reposting since I am unable to validate the previous account,I asked the same question https://math.stackexchange.com/questions/674426/right-to-left-order Can someone please clarify unable to understand this basic math :( I am sorry if this too…
Ryan
  • 3
0
votes
2 answers

Multiplying two numbers

I've come across this technique to multiply two numbers of multiple digits and its not long multiplication. I'd appreciate it if someone could throw some light on why it works or the logic behind it. 1 2 3 x 4 5 6 ------- 1 x 456 = 4 5 6 2 x 456 =…
Aks
  • 125
  • 3
0
votes
1 answer

Base 10 arithmetic

The characters in the ascii codes have a decimal equivalent: http://www.asciitable.com/. Let's assume the decimal value of each ascii code requires to be 3 digits. So the NUL character is 000. The lower case d character is 100. And so forth. Below…
JohnMerlino
  • 621
0
votes
1 answer

Need help proving an equality

I'm looking for help proving this equality: $\forall m:m \times 0 = 0 = 0 \times m$ Any help would be greatly appreciated. Thank you very much.
user3182252
  • 39
0
votes
1 answer

How many quarter horses?

The rent-a-stall horse barn has stalls for 1000 horses. Forty percent of the stalls are for ponies. On Tuesday, there were 200 ponies and a bunch of quarter horses at the horse barn. The horse barn was 75 percent full. How many quarter horses…
prerna
  • 23
0
votes
2 answers

cross-multiply with algebra word problems

I am using cross-multiplication here, but it is definitely giving me the wrong answer. Here is the question: If 1200 bits are transmitted in 1 second, how many milliseconds does it take to transmit 3 bits? 1000ms = 1s 1200b = 1 s 3b = x I use x to…
JohnMerlino
  • 621
0
votes
4 answers

My grade so far?

Quizzes $20\%$ Midterm $40\%$ Final $40\%$ Can someone please help me calculate what I have in the class so far? I'm pretty slow when it comes to numbers. I'm getting the full $20\%$ from the quizzes. The midterm was out of $60$, and I got a $34$…
Adam
  • 1
0
votes
1 answer

Salary paid a week early - does that mean I get less of my annual salary?

I normally get paid on the 25th of every month. However from January onwards I will get paid on the 20th of every month.For this example to work let's assume I get £1 000.00 per month, totalling £12 000.00 per year. Note, I'm on a monthly…
John Crawford
  • 103
0
votes
1 answer

Why do we have a symbol for root of -1, but none for divide by zero?

Even though there is no real answer to the equation √-1, we give it the symbol i. What is the reason that there is a symbol for √-1, but no symbol for dividing by zero?
Pacerier
  • 3,369
0
votes
2 answers

Arithmetic Order of Operation

What is the square root of -4 + 13 x 8 - (7 + 2(3 + 20/5)) The answer seems to be 3 but I wanted help trying to get to the answer!
Raphaela
  • 11
0
votes
1 answer

How can I use these numbers?

How can you use the numbers 7 2 3 and 3 to equal 24? I have tried many different ways to make 24 but none have worked. I think I need a new brain to look at this from a different angle.
Savannah
  • 1
1 2 3
…
99 100