Final Answer:
The expressions that have the same value as -24 (1)/(2) + 16.15 - 4 are -23.5, -47/2, and 20.65.
Step-by-step explanation:
The given expression, -24 (1)/(2) + 16.15 - 4, can be simplified step by step to find equivalent expressions. First, calculate the product of -24 and (1)/(2), which equals -12. Adding this to 16.15 and then subtracting 4 results in the value -23.5. Therefore, -23.5 is an equivalent expression.
Another way to express the same value is by converting the mixed number -24 (1)/(2) to an improper fraction. -24 (1)/(2) is equivalent to -49/2. Adding 16.15 and subtracting 4 from -49/2 yields -47/2 as another expression with the same value.
Additionally, if we simply add 16.15 to -24 (1)/(2) and then subtract 4, we get 20.65. Therefore, -23.5, -47/2, and 20.65 are all different expressions that have the same value as the given expression.
In summary, through careful simplification and arithmetic operations, we have identified three distinct expressions (-23.5, -47/2, and 20.65) that share the same numerical value as the original expression -24 (1)/(2) + 16.15 - 4.