Use the additive inverse to find −492.89−(−871.78). Show your work.

To find the sum of two numbers using the additive inverse, we can add the opposite of the second number to the first number.

The opposite of -871.78 is 871.78 (since a number and its opposite add up to zero).
So, -492.89 - (-871.78) becomes -492.89 + 871.78.

Adding these two numbers:

-492.89 + 871.78 = 378.89

Therefore, -492.89 - (-871.78) = 378.89.

To find −492.89 − (−871.78) using the additive inverse, we can rewrite the expression as −492.89 + 871.78.

To add these two numbers, we align the decimal points and perform the addition as follows:

-492.89
+ 871.78
___________
378.89

Therefore, −492.89 − (−871.78) is equal to 378.89.