Question

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

Explanation:

Identify the expression

We are given an arithmetic expression to evaluate:

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

Evaluate the innermost parentheses

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

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

Evaluate the outer parentheses

Now substitute this result back into the expression and perform the division:

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

Perform the final multiplication

Multiply the remaining numbers to find the final value:

$$ 1 \times 2 = 2 $$

Answer:

2