Order of Operations 17. Explain the order in which you should compute the operations in the expression below. Then evaluate the expression. \( [(33 \div 3)+1]-2^{2} \)
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To tackle the expression \( [(33 \div 3)+1]-2^{2} \), you should remember the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)). Start with the division inside the brackets, then tackle the addition, followed by the exponent, and finally perform the subtraction. Now, let's evaluate! First, compute \( 33 \div 3 = 11 \). Adding \( 1 \) gives us \( 12 \). Next, calculate the exponent \( 2^{2} = 4 \). Finally, perform the subtraction: \( 12 - 4 = 8 \). So, the evaluated expression equals \( 8 \).