Question
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a) \( \{25 \div 5+[(77 \div 7 \times 2)-(36 \times 2 \div 8)]+13 \times 3\}= \)

Ask by Cervantes Reyes. in Mexico
Jan 12,2025

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Tutor-Verified Answer

Answer

El resultado es 57.

Solution

Calculate or simplify the expression \( 25 \div 5+[(77 \div 7 \times 2)-(36 \times 2 \div 8)]+13 \times 3 \). Calculate the value by following steps: - step0: Calculate: \(25\div 5+\left(\left(77\div 7\times 2\right)-\left(36\times 2\div 8\right)\right)+13\times 3\) - step1: Divide the numbers: \(25\div 5+\left(\left(11\times 2\right)-\left(36\times 2\div 8\right)\right)+13\times 3\) - step2: Multiply the numbers: \(25\div 5+\left(22-\left(36\times 2\div 8\right)\right)+13\times 3\) - step3: Multiply the numbers: \(25\div 5+\left(22-\left(72\div 8\right)\right)+13\times 3\) - step4: Divide the numbers: \(25\div 5+\left(22-9\right)+13\times 3\) - step5: Subtract the numbers: \(25\div 5+13+13\times 3\) - step6: Divide the numbers: \(5+13+13\times 3\) - step7: Multiply the numbers: \(5+13+39\) - step8: Add the numbers: \(57\) La expresión \(25 \div 5+[(77 \div 7 \times 2)-(36 \times 2 \div 8)]+13 \times 3\) se simplifica a 57.

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The Deep Dive

To solve the expression step by step, we start with the operations inside the parentheses and then proceed outward. 1. Calculate \( 25 \div 5 = 5 \). 2. For \( 77 \div 7 \times 2 \), first do \( 77 \div 7 = 11 \), then \( 11 \times 2 = 22 \). 3. For \( 36 \times 2 \div 8 \), first calculate \( 36 \times 2 = 72 \), then \( 72 \div 8 = 9 \). 4. Now, substitute these values back into the expression: \[ 5 + [(22 - 9)] + 13 \times 3 \] 5. Calculate the expression inside the brackets: \( 22 - 9 = 13 \). 6. Substitute again: \[ 5 + 13 + 13 \times 3 \] 7. Calculate \( 13 \times 3 = 39 \). 8. Finally, combine all the parts: \[ 5 + 13 + 39 = 57 \] So, the value of the expression is \( 57 \).

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