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Solve using Order of Operations: \( 3 \times 4 \div 2+2^{3} \)

Ask by Cruz Ford. in the United States
Jan 27,2025

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\( 14 \)

Solution

To solve the expression \( 3 \times 4 \div 2 + 2^{3} \) using the **Order of Operations** (PEMDAS/BODMAS), follow these steps: 1. **Exponents**: \( 2^{3} = 8 \) So, the expression becomes: \( 3 \times 4 \div 2 + 8 \) 2. **Multiplication and Division** (from left to right): - First, multiply: \( 3 \times 4 = 12 \) - Then, divide: \( 12 \div 2 = 6 \) Now, the expression is: \( 6 + 8 \) 3. **Addition**: \( 6 + 8 = 14 \) **Final Answer:** \( 14 \)

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To solve \( 3 \times 4 \div 2 + 2^{3} \) using the order of operations (PEMDAS/BODMAS), we first tackle the exponent \( 2^{3} \), which equals \( 8 \). Next, we perform the multiplication and division from left to right: \( 3 \times 4 = 12 \), then \( 12 \div 2 = 6 \). Finally, we add \( 6 + 8 \) to get \( 14 \). Therefore, the answer is \( 14 \). One common mistake in these types of problems is forgetting the order of operations, which can lead to incorrect results. Always remember to perform calculations involving parentheses and exponents first, followed by multiplication and division from left to right, and finally addition and subtraction. This will save you from "math mishaps!" For those wanting to dive deeper, consider exploring math puzzles and games that reinforce order of operations, like online math quizzes or printable worksheets. Engaging in these activities not only sharpens your skills but also makes learning math more enjoyable and less daunting!

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