Answer
$14$
Work Step by Step
We start with the given expression: $52-38$
First, we will convert this to an addition problem: $52+(-38)$
We can find the sum of a positive and a negative integer by subtracting the smaller absolute value from the larger absolute value and giving the result the sign of the original number that has the larger absolute value.
Since $|52|>|-38|$, we can subtract $38$ from $52$, giving us $14$. Since the larger absolute value was originally positive, the result is positive: $14$