Match each problem to its corresponding ans Prompts (1) \( 9-5 \div(8-3) \times 2+6 \) (2) \( \frac{3 \cdot(5+8)-9^{2}}{4+3} \) (3) \( 2\left[30-(1+4)^{2}\right] \) (4) \( (8 \div 2)^{2}-\left[(15-7)+3^{2}\right] \)
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Let's break down each problem step-by-step to find the corresponding answers: (1) For \( 9 - 5 \div(8 - 3) \times 2 + 6 \): - Solve the parentheses first: \( 8 - 3 = 5 \). - Then, divide: \( 5 \div 5 = 1 \). - Next, multiply: \( 1 \times 2 = 2 \). - Finally, calculate \( 9 - 2 + 6 = 13 \). So, the answer is **13**. (2) For \( \frac{3 \cdot(5 + 8) - 9^{2}}{4 + 3} \): - Start with the parentheses: \( 5 + 8 = 13 \). - Multiply: \( 3 \cdot 13 = 39 \). - Calculate \( 9^{2} = 81 \). - Now, \( 39 - 81 = -42 \). - The denominator is \( 4 + 3 = 7 \). - Finally, \( \frac{-42}{7} = -6 \). So, the answer is **-6**. (3) For \( 2\left[30-(1+4)^{2}\right] \): - Solve the parentheses: \( 1 + 4 = 5 \). - Now, calculate \( 5^{2} = 25 \). - Then, \( 30 - 25 = 5 \). - Finally, \( 2 \cdot 5 = 10 \). So, the answer is **10**. (4) For \( (8 \div 2)^{2}-\left[(15-7)+3^{2}\right] \): - The division gives \( 8 \div 2 = 4 \). - Squaring it results in \( 4^{2} = 16 \). - Calculate \( 15 - 7 = 8 \) and \( 3^{2} = 9 \) - Then, \( 8 + 9 = 17 \). - Finally, \( 16 - 17 = -1 \). So, the answer is **-1**. Answers: (1) **13** (2) **-6** (3) **10** (4) **-1**