Simplify the expression below using order of operations.

Question

minus, 2, minus, left parenthesis, minus, 1, right parenthesis, squared, minus, 10, divided by, 0, point, 2
−2−(−1)
2
−10÷0.2

Answer 1

To simplify the expression \(-2 - (-1)^2 - 10 \div 0.2\), we will follow the order of operations (PEMDAS/BODMAS: Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).

1. Evaluate the exponent: \[ (-1)^2 = 1 \]

2. Perform the division: \[ 10 \div 0.2 = 10 \div \frac{2}{10} = 10 \times \frac{10}{2} = 10 \times 5 = 50 \]

3. Now substitute back into the expression: \[ -2 - 1 - 50 \]

4. Now perform the subtraction from left to right: \[ -2 - 1 = -3 \]

   Then, \[ -3 - 50 = -53 \]

Therefore, the simplified expression is \(\boxed{-53}\).