How many multiples of $17$ are greater than $-50$ and less than $50$?
To find the multiples of $17$, I need to think of numbers that can be written as $17 \times n$, where $n$ is an integer. Since I want the multiples to be greater than $-50$ and less than $50$, I need to restrict the values of $n$ accordingly. If $n = 0$, then $17 \times n = 0$, which is a valid multiple in the given range. If $n = 1$, then $17 \times n = 17$, which is also a valid multiple in the given range. If $n = 2$, then $17 \times n = 34$, which is still a valid multiple in the given range. If $n = 3$, then $17 \times n = 51$, which is too big, so I can stop increasing $n$ in the positive direction. If $n = -1$, then $17 \times n = -17$, which is a valid multiple in the given range. If $n = -2$, then $17 \times n = -34$, which is also a valid multiple in the given range. If $n = -3$, then $17 \times n = -51$, which is too small, so I can stop decreasing $n$ in the negative direction. Therefore, the only values of $n$ that produce valid multiples of $17$ in the given range are $-2, -1, 0, 1, 2$. That means there are $5$ such multiples. 