Use the additive inverse to find −492.89−(−871.78).(1 point)

Answer 1

To solve the expression \(-492.89 - (-871.78)\), we can use the concept of the additive inverse. The additive inverse of a number is the opposite of that number. Therefore, subtracting a negative number is equivalent to adding its positive counterpart.

So, we can rewrite the expression as:

\[ -492.89 + 871.78 \]

Now we can perform the addition:

1. Start with \(-492.89\).
2. Add \(871.78\):

\[ -492.89 + 871.78 = 871.78 - 492.89 \]

To do this calculation, subtract \(492.89\) from \(871.78\):

\[ 871.78 - 492.89 = 378.89 \]

Thus, the result of the expression \(-492.89 - (-871.78)\) is:

\[ \boxed{378.89} \]