Final answer:
The expression −5 × (−16) ÷ 10 − 24 simplifies to −16 when using the order of operations, with multiplication and division performed before subtraction.
Step-by-step explanation:
To simplify the expression using the order of operations, we follow PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). The given expression is −5 × (−16) ÷ 10 − 24. First, we resolve what's within the parentheses, but since there's just a number, we move to multiplication.
Multiplying −5 and (−16) gives us +80, because a negative times a negative is a positive. Next, according to the order of operations, we perform the division before subtraction. We divide 80 by 10 resulting in 8. Lastly, we subtract 24 from 8, which gives us −16. Therefore, the expression simplified is −16.