To solve the expression \(-1223 - (-856)\) using the additive inverse, we can rewrite it as follows:
\[ -1223 + 856 \]
Now, we can do the addition:
-
Since \(-1223\) is negative and \(856\) is positive, we can think of this as finding the difference between their absolute values.
-
First, we calculate the absolute values:
\[ | -1223 | = 1223 \] \[ | 856 | = 856 \]
- Now, we subtract the smaller absolute value from the larger one:
\[ 1223 - 856 = 367 \]
- Since \(-1223\) has a larger absolute value, the result will be negative:
\[ -1223 + 856 = -367 \]
Thus, the answer is \(-367\), which can also be represented as a mixed number. Since \(-367\) is a whole number and cannot be expressed as a mixed number with a proper fraction, we can just write:
\[ -367 \]
Hence, the final answer is:
\[ \boxed{-367} \]