a) \( \{25 \div 5+[(77 \div 7 \times 2)-(36 \times 2 \div 8)]+13 \times 3\}= \)
Upstudy AI Solution
Answer
Solution
Answered by UpStudy AI and reviewed by a Professional Tutor


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 \( 57 \).