Question

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

Explanation:

Identify the expression

We evaluate the given arithmetic expression:

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

Evaluate innermost parentheses

Using the Order of Operations concept, we perform addition and subtraction from left to right inside the innermost parentheses:

$$ 10 - 6 = 4 $$

$$ 4 + 5 = 9 $$

So, the expression simplifies to:

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

Evaluate outer parentheses

Next, we perform the division inside the remaining parentheses:

$$ 9 \div 9 = 1 $$

This simplifies our expression to:

$$ 1 \times 2 $$

Perform final multiplication

Finally, we multiply the remaining numbers:

$$ 1 \times 2 = 2 $$

Answer:

2