Let's break down the expression step by step, according to the order of operations (PEMDAS/BODMAS):
- Parentheses/Brackets
- Exponents/Orders
- Multiplication and Division (from left to right)
- Addition and Subtraction (from left to right)
The expression is:
\[ 98 - (2 \cdot 1) + 34 \div 4 - 23 + 89 \]
Now, evaluate the parts step by step:
Calculate \(2 \cdot 1 = 2\).
So the expression now is: \[ 98 - 2 + 34 \div 4 - 23 + 89 \]
Next, calculate \(34 \div 4 = 8.5\).
Now we have: \[ 98 - 2 + 8.5 - 23 + 89 \]
Now we perform the addition and subtraction from left to right:
- Start with \(98 - 2 = 96\)
- Then \(96 + 8.5 = 104.5\)
- Next \(104.5 - 23 = 81.5\)
- Finally \(81.5 + 89 = 170.5\)
So, the final result is: \[ \boxed{170.5} \]
