Final answer:
The value of the expression −0.25−(−15)×0.3×(−24) is −93.25, obtained by first converting the subtraction of a negative number to addition, then performing the multiplication, and finally completing the subtraction.
Step-by-step explanation:
The value of the expression −0.25−(−15)×0.3×(−24) can be calculated by following the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).
- First, handle the parentheses: −0.25 - (−15) = −0.25 + 15.
- Next, perform the multiplication: (−15) × 0.3 × (−24) = 4.5 × (−24) = −108.
- Combine the two parts of the expression: −0.25 + 15 − 108 = 14.75 − 108.
- Finally, subtract the last two numbers: 14.75 − 108 = −93.25.
Therefore, the value of the expression is −93.25.