New posts in arithmetic

Get $5$ by doing any operations with four $7$s

Why is the number of integers between $2$ integers not their difference? [duplicate]

Proving $10240...02401$ composite

Why does $x$ divided by zero not equal $x$?

Is $\sqrt{x^2}=|x|$ or $=x$? Isn't $(x^2)^\frac12=x?$ [duplicate]

Rule for multiplying rational numbers

How to prove that adding $n$ to the numerator and denominator will move the resultant fraction close to $1$?

How to establish this inequality: $(1-a)(1-b)(1-c) \geq 8abc$ for $a+b+c=1$?

Can someone prove why $\sqrt{ab}=\sqrt{a}\sqrt{b}$ is only valid when a and b are positive?

Is it possible $n(n+1)(n+2)...(n+k)$ is a square?

Can we express sum of products as product of sums?

Given triangle ABC with $\alpha=2\beta$ and $b, c, a$ is forming an arithmetic sequence. Find $\alpha, \beta, \gamma$.

Is 'no solution' the same as 'undefined'?

If $\dfrac{a}{b} = \dfrac{c}{d}$ why does $\dfrac{a+c}{b + d} = \dfrac{a}{b} = \dfrac{c}{d}$?

Is there any explanation for the repetitions after decimal point on divisions like 24/7

Why is $n$ divided by $n$ equal to $1$?

Subtraction when second number is bigger than first number

Does there exist $\ n,m\in\mathbb{N}\ $ such that $\ \lvert \left(\frac{3}{2}\right)^n - 2^m \rvert < \frac{1}{4}\ $?

Balls and Boxes

Find $\lim_{n\to\infty}\sqrt{6}^{\ n}\underbrace{\sqrt{3-\sqrt{6+\sqrt{6+\dotsb+\sqrt{6}}}}}_{n\text{ square root signs}}$