Calculate the value of the expression:
79 - 10 × [2 + 3 × {12 - 6 (6 - 5) × 2} ÷ 20]
Options:
1. 55
2. 57
3. 63
4. 59
Answer (2)
Let's go through the calculation step-by-step, keeping in mind the order of operations (PEMDAS/BODMAS):
Parentheses/Brackets : Solve expressions inside the innermost parentheses first. 6 − 5 = 1
Substitute back: 79 − 10 × [ 2 + 3 × { 12 − 6 × 1 × 2 } ÷ 20 ]
Continue inside the brackets:
Inside the curly brackets: 12 − 6 × 1 × 2 = 12 − 12 = 0
Substitute back: 79 − 10 × [ 2 + 3 × 0 ÷ 20 ]
Continue simplifying inside the square brackets: 2 + 3 × 0 ÷ 20 = 2
Substitute back: 79 − 10 × 2
Perform the multiplication: 79 − 20
Finally, subtract: 79 − 20 = 59
So, the value of the expression is 59 .
The correct option is 4. 59 .
The value of the expression is 59, calculated step-by-step using the order of operations. The chosen multiple-choice option is 4. 59.
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