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((10 - 6 + 5) \\div 9) \\times 2

Question

((10 - 6 + 5) \div 9) \times 2

Explanation:

🆕 New Concept Discovered: Order of Operations (PEMDAS)
Working from the inside out

Step 1: Inner Parentheses

First, evaluate the expression inside the innermost parentheses: \(10 - 6 + 5\).

When we have only addition and subtraction, we work from left to right:

$$ 10 - 6 = 4 $$
$$ 4 + 5 = 9 $$

So, the expression becomes:

$$ (9 \div 9) \times 2 $$

Step 2: Outer Parentheses

Next, evaluate the operation inside the remaining parentheses:

$$ 9 \div 9 = 1 $$

This simplifies the expression to:

$$ 1 \times 2 $$

Step 3: Final Multiplication

Multiply the remaining numbers:

$$ 1 \times 2 = 2 $$

Answer:

2