Math Problem Solver

$$2 + 90 \:\%\: 4 \cdot 4 - 8 = 2$$

$$\begin{aligned}2 + 90 \:\%\: 4 \cdot 4 - 8&=2 + \left(90 \:\%\: 4 \cdot 4\right) - 8\\&=2 + 2 \cdot 4 - 8\\&=2 + 8 - 8\\&=10 - 8\\&=2\end{aligned}$$

The notation $m \% n$ denotes the remainder of the integer $m$ divided by the integer $n$. $m \% n = r$ means that given integers $m$ and $n$, where $n$ is non-zero, there exist integers $q$ and $r$, where $\lvert r \rvert < \lvert n \rvert$, such that $m = q n + r$. MathBot adopts the convention that the remainder $r$ and the divisor $n$ share the same sign. Alternate notations for $m \% n$ are $\operatorname{mod}(m, n)$ and $m \bmod n$.