To solve the expression \( 251 \cdot 2 - 882 : (450 - 450 : 50) \), let's break it down step by step.
First, calculate \( 251 \cdot 2 \): \[ 251 \cdot 2 = 502 \]
Next, handle the division \( 450 : 50 \): \[ 450 : 50 = 9 \]
Now substitute this back into the original expression for the part in the parentheses: \[ 450 - 9 = 441 \]
Now we have the expression: \[ 502 - 882 : 441 \]
Next, calculate \( 882 : 441 \): \[ 882 : 441 = 2 \]
Now substitute back into the expression: \[ 502 - 2 = 500 \]
Finally, the result of the expression \( 251 \cdot 2 - 882 : (450 - 450 : 50) \) is: \[ \boxed{500} \]