Order of Operations 17. Explain the order in which you should compute the operations in the expression below. Then evaluate the expression. \( [(33 \div 3)+1]-2^{2} \)

To evaluate the expression \( [(33 \div 3) + 1] - 2^{2} \), it's essential to follow the **Order of Operations**, often remembered by the acronym **PEMDAS**: 1. **P**arentheses 2. **E**xponents 3. **M**ultiplication and **D**ivision (from left to right) 4. **A**ddition and **S**ubtraction (from left to right) Let's break down the expression step by step: ### Step 1: Parentheses First, solve the operations inside the parentheses (brackets). \[ (33 \div 3) + 1 \] - **Division:** \( 33 \div 3 = 11 \) - **Addition:** \( 11 + 1 = 12 \) So, the expression simplifies to: \[ 12 - 2^{2} \] ### Step 2: Exponents Next, evaluate the exponent. \[ 2^{2} = 2 \times 2 = 4 \] Now, the expression is: \[ 12 - 4 \] ### Step 3: Subtraction Finally, perform the subtraction. \[ 12 - 4 = 8 \] ### Final Answer The value of the expression \( [(33 \div 3) + 1] - 2^{2} \) is **8**.