Final answer:
Solve the equation by first adding (-4.63) and (7.84) to get 3.21, then subtract 12.51 to get the final result of -9.30, rounded to two decimal places to match the significant figures of the original problem.
Step-by-step explanation:
To solve the given equation (-4.63) + (7.84) - 12.51, we should follow these steps:
- Add the two numbers (-4.63) + (7.84).
- Subtract 12.51 from the sum obtained in Step 1.
- Apply the rules for significant figures and rounding for the final result.
Step 1: Calculate (-4.63) + (7.84) = 3.21.
Step 2: Subtract 12.51 from 3.21 to get 3.21 - 12.51 = -9.30.
The final result is -9.30. This answer has been rounded to two decimal places since the least number of decimal places of any number in the original problem is two.
It's important to always check your results for reasonableness to ensure that they make sense given the context of the problem.