To solve the expression \( 98 - 72:9(35 + 55):3 \), we need to follow the order of operations (PEMDAS/BODMAS):
- Parentheses/Brackets
- Exponents/Orders
- Multiplication and Division (from left to right)
- Addition and Subtraction (from left to right)
Let's break it down step by step:
Calculate the expression inside the parentheses: \[ 35 + 55 = 90 \]
Now we can rewrite the expression: \[ 98 - 72:9 \cdot 90:3 \]
Next, simplify the divisions: \[ 72:9 = 8 \] and \[ 90:3 = 30 \]
Now rewrite the expression again: \[ 98 - 8 \cdot 30 \]
Next, perform the multiplication: \[ 8 \cdot 30 = 240 \]
Now we can rewrite it again: \[ 98 - 240 \]
Finally, perform the subtraction: \[ 98 - 240 = -142 \]
So, the final result of the expression \( 98 - 72:9(35 + 55):3 \) is \( -142 \).
