Final answer:
The expression 45−(8×3+15) simplifies to 6 by first multiplying 8 by 3, then adding 15 to the result, and finally subtracting this sum from 45, according to the order of operations.
Step-by-step explanation:
We need to simplify the expression 45−(8×3+15) step by step by following the order of operations, which is often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction).
- Solve the expression inside the parentheses (8×3+15). Start by doing the multiplication: 8×3 equals 24.
- Add 15 to 24 which gives us 24+15 equals 39.
- Now, subtract the result inside the parentheses from 45: 45−39 which equals 6.
Thus, the final answer is 6.