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 operations inside the innermost parentheses first.
We calculate addition and subtraction from left to right.

$$ 10 - 6 = 4 $$

$$ 4 + 5 = 9 $$

Evaluate the outer parentheses

Using the Order of Operations concept, we substitute the result back and evaluate the outer parentheses.

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

We perform the division inside the parentheses.

$$ 9 \div 9 = 1 $$

Perform the final multiplication

Using the Order of Operations concept, we multiply the remaining values.

$$ 1 \times 2 = 2 $$

Answer:

2