Intereting Posts

Who discovered the first explicit formula for the n-th prime?
Jordan normal form for a characteristic polynomial $(x-a)^5$
$\displaystyle\Big(1-\frac{t}{n}\Big)^n$ is strictly increasing for $n>N$ and $t>0$
Should a linear function always fix the origin?
Derivation of weak form for variational problem
Decomposition by subtraction
How to find $\sum_{k \in \mathbb{Z}}\frac1{(k+a)(k+b)}$
Dual space of $H^1(\Omega)$
How to draw a Mandelbrot Set with the connecting filaments visible?
Demonstration: If all vectors of $V$ are eigenvectors of $T$, then there is one $\lambda$ such that $T(v) = \lambda v$ for all $v \in V$.
What is to geometric mean as integration is to arithmetic mean?
Show that a Hilbert space with two inner products has a basis that is orthogonal with respect to both inner products
Can a surjective continuous function from the reals to the reals assume each value an even number of times?
Spectra of restrictions of bounded operators
Distribution of a difference of two Uniform random variables?

This must be a basic question. But i need some help.

What is the number of decimal places that needs to be considered normally in division operations in order to represent the dividend value as a multiple of divisor and quotient by rounding off.

Example:

Say i want to divide 3475934 and 3475935 by 65536.

- Proving that $C$ is a subset of $f^{-1}$
- How do I show that the sum $(a+\frac12)^n+(b+\frac12)^n$ is an integer for only finitely many $n$?
- Proof verification: Let $a$ be an irrational number and $r$ be a nonzero rational number. If $s$ is a rational number then $ar$ + $s$ is irrational
- a question about permutation in the digits in the decimal system
- Sums related to the Euler totient function
- Do 3 consecutive primes always form a triangle?

For first number:

3475934 / 65536 = 53.03854 So when I multiply the quotient with the divisor i get 3475933.75 which i am rounding of to 3475934

For second number:

3475935 / 65536 = 53.03855. And the result will be approximately 3475934.41. In this case if I round of i will be getting the same value again 3475934.

But, If I consider one more decimal place I can round of to the original value

Is it possible to somehow calculate the number of decimal places to be considered ?

- Integers in biquadratic extensions
- Can the cube of every perfect number be written as the sum of three cubes?
- Prove that $2730$ divides $n^{13} - n$ for all integers $n$.
- If $\gcd(a,b)=1$, $\gcd(a,y)=1$ and $\gcd(b,x)=1$ then prove that $ax+by$ is prime to $ab$
- Find $ord_m b^2$ if $ord_m a = 10$ and $ab\equiv 1\pmod m$
- If p is an odd prime, prove that $1^2 \times 3^2 \times 5^2 \cdots \times (p-2)^2 \equiv (-1)^{(p+1)/2}\pmod{p}$
- Are all subrings of the rationals Euclidean domains?
- Using congruences, show $\frac{1}{5}n^5 + \frac{1}{3}n^3 + \frac{7}{15}n$ is integer for every $n$
- Showing that $a \mid b$ and $b \mid a$ if and only if $a= \pm b$.
- Smallest positive element of $ \{ax + by: x,y \in \mathbb{Z}\}$ is $\gcd(a,b)$

- Why is the volume of a cone one third of the volume of a cylinder?
- Remainders of Fibonacci numbers
- Anti-compact space
- Is there a non-trivial countably transitive linear order?
- Is there any formula of monadic second-order logic that is only satisfied by an infinite set?
- Does a dense $G_\delta$ subset of a complete metric space without isolated points contain a perfect set?
- Can I break this limit into individual terms?
- Series $\sum_{n=1}^{\infty} (\sqrt{n+1} – \sqrt{n-1})^{\alpha}$ converge or diverge?
- prove that $\,5\,$ is factor of $\,\,3^{2n}+ 2^n+1$
- A problem on sinusoids
- Characteristic polynomial of a matrix with zeros on its diagonal
- Prove that $\sin^2(A) – \sin^2(B) = \sin(A + B)\sin(A -B)$
- example of compact operator
- On the ring generated by an algebraic integer over the ring of rational integers
- I want to calculate the limit of: $\lim_{x \to 0} \left(\frac{2^x+8^x}{2} \right)^\frac{1}{x} $