Final answer:
The expression -2.1972(0.77778)+5.8635 simplifies to 4.157 when rounded to the nearest third decimal place.
Step-by-step explanation:
To simplify this problem, we first need to perform the multiplication operation, which follows the mathematical aspect of the Order Of Operations (often remembered by the acronym PEMDAS) which stands for Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
Firstly, let's multiply -2.1972 by 0.77778. The result is -1.706044416.
The sum of -1.706044416 and 5.8635 equals 4.157455584.
So, the simplified form of -2.1972(0.77778)+5.8635 equals 4.157455584, rounded to the nearest third decimal place, the final answer is 4.157
Learn more about Order Of Operations