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\begin{tabular}{|l|l} Simplify the expression \\ \( 30-30 \div 5 \times 2+8 \). \\ 056 \\ 030 & 30 \\ 0 & 26 \\ 08 \\ \hline\end{tabular}

Ask by Ellis Young. in the United States
Feb 26,2025

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Tutor-Verified Answer

Answer

The simplified result is 26.

Solution

We simplify the expression step by step, following the order of operations (division and multiplication before subtraction and addition): 1. Start with: 30 − 30 ÷ 5 × 2 + 8. 2. First, perform the division: 30 ÷ 5 = 6. 3. Next, perform the multiplication: 6 × 2 = 12. 4. Now, substitute back into the expression: 30 − 12 + 8. 5. Finally, perform the subtraction and then the addition: • 30 − 12 = 18, • 18 + 8 = 26. Thus, the simplified result is 26.

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Mind Expander

To simplify the expression \( 30 - 30 \div 5 \times 2 + 8 \), we start by following the order of operations (PEMDAS/BODMAS). 1. First, we do the division: \( 30 \div 5 = 6 \). 2. Next, we multiply: \( 6 \times 2 = 12 \). 3. Now our expression looks like this: \( 30 - 12 + 8 \). 4. Next, we perform the subtraction: \( 30 - 12 = 18 \). 5. Finally, we add: \( 18 + 8 = 26 \). So the simplified answer is \( 26 \).

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