To solve the expression \( 79348 : 64 \cdot 84 + 6539 : 13 - 11005 \), we will break it down step by step, following the order of operations (parentheses, exponents, multiplication and division from left to right, addition and subtraction from left to right).
Calculate each division:
- \( 79348 : 64 \) = \( 1243.75 \)
- \( 6539 : 13 \) = \( 503 \)
Now substitute these values back into the expression: \[ 1243.75 \cdot 84 + 503 - 11005 \]
Next, perform the multiplication:
- \( 1243.75 \cdot 84 \) = \( 10450 \)
Now substitute this value back into the expression: \[ 10450 + 503 - 11005 \]
Now perform the addition and subtraction from left to right:
- \( 10450 + 503 = 10953 \)
- \( 10953 - 11005 = -52 \)
Thus, the final answer is: \[ \boxed{-52} \]
