Math Problem Solver

\[8 + 7 \:\%\: 2 = 9\]

\[\begin{aligned}8 + 7 \:\%\: 2& = 8 + \left(7 \:\%\: 2\right)\\& = 8 + 1\\& = 9\end{aligned}\]

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 \(m \bmod n\).