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 the innermost parentheses

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

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

Evaluate the outer parentheses

Using the Order of Operations concept, we substitute the result back and perform the division:

$$ (9 \div 9) \times 2 = 1 \times 2 $$

Perform the final multiplication

Using the Order of Operations concept, we calculate the final product:

$$ 1 \times 2 = 2 $$

Answer:

2