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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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Prove that GCD$(n^a - 1,n^b -1)= n^{GCD(a,b)} -1$

I used Euclid's theorem $a=bq +r$. $n^a -1 = ((n^b)^q )n^r -1$ I don't know how to move forward.
Dhia Othmani
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Given information about remainder and find the dividend.

The number m yields a remainder p when divided by 14 and a remainder q when divided by 7. If p=q+7 then (Find the value of m) m=?
Partho Pritom
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Significant figures: arithmetic with exact and approximate numbers

Suppose 62 is an exact number and 5.67 is an approximate number. If we find their product we have 351.54. Since I found their product, would this be given to 3 significant figures (352)? However, if I add 5.67 to itself 62 times I would give my…
Moo
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How do you simplify a fraction raised to a negative exponent?

$\left( \frac23 \right) ^{-2}$ I noticed that the answer is $\frac94$, and I can't come to the conclusion of why it is?
Jorden Danczak
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Distributive Challenge

Would appreciate any hints as to how to approach this: I multiplied a 3-digit number by 1002 and got AB007C, where A, B, and C stand for digits. What was my original 3-digit number?
SSL
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Find the derivative of $e^{\sqrt{x}}$

Find the derivative of $e^{\sqrt{x}}$? My steps: I first made it cleaner as shown below $e^{x^{\frac{1}{2}}}$ Then I apply derivatives to this $e^{x^{-\frac{1}{2}}}$ But anything to the e power derivative stays the same, and I apply chain rule so…
John Rawls
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Find an integer n and rational, not integers, r and s such that n= r² + s². Number Theory

I'm trying to apply theorems that I know, but they're all about integers. I really don't know how to solve this problem, in Number Theory, with rational. "Find an integer $n$ and rational, not integers, $r$ and $s$ such that $n = r^2 + s^2$"
Dalton
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How to explain that (a^b)^c is not equal to a^(b^c)

Possible Duplicate: Can anyone explain why $a^{b^c} = a^{(b^c)} \neq (a^b)^c = a^{(b*c)}$ Its been a while since I worked much with exponents, and I got confused and thought that $(a^b)^c = a^{(b^c)}$ I wasn't sure, so I tried my usual strategy…
Matt Munson
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Trying to understand the intuition behind some arithmetic.

I'm trying to make sense of something in the fairly elementary topic of fractions, I've been out of mathematics study for some period of time. If we consider $$\frac {3}{4} \text{ of } 20 = 15.$$ Speaking very specifically, what are we saying…
salman
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Arithmetic Sequences: Find three consecutive numbers where the product of the three number is 11 times larger than their sum.

Hi thx for any help/ideas that anyone can offer. This is an Arithmetic Sequences problem: Find three consecutive numbers where the product of the three integer number is 11 times larger than their sum. Find the three terms. So far I'm stuck at…
Bluze
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Sum of digits of $(7^{10})(11^{10})(13^{10})$

What is the sum of the digits of $(7^{10})(11^{10})(13^{10})$? The answer is $1024$. Is there a simple way to approach this? Please help?
Danh Huynh
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Sat math section simple mistakes

I am fixing to be a junior in high school and as such have done some extensive SAT prep, although I find that when I take practice test I can constantly score about a 770/800 on the math section. However, when I go to look at the problems that I…
Matthew B
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Jack and Jenny's marbles

Im really struggling with this assignment from puzzles and logic. I think I know the method, but the teacher didn't tell us in class. I just would really appreciate you tell me which method would work, I would look it up if you have no time. So here…
QueeD
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zoom % conversion to font size

I was reading an article about how to avoid eye strains when using a computer. One of the suggestion they gave was that the screen font size should be three times the smallest size you can read from your normal viewing position. Internet Explorer…
Theo
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This cant be right can it? Negative exponents in algebra book.

I am seriously questioning my sanity right now, I have been trying to find a solution to this. My only conclusion right now, is that this must be a mistake in this algebra book. This should be a very basic thing to know right? 1 / (1/(1/3^4))…
Mobius-User
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