Use the additive inverse to find −1223−(−856)

Question

. Write the answer as a mixed number.(1 point)
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Answer 1

To solve the expression \(-1223 - (-856)\), we can use the property of additive inverses. The additive inverse of a number \(a\) is \(-a\).

Here, subtracting a negative is the same as adding the positive, so we rewrite the expression:

\[ -1223 - (-856) = -1223 + 856 \]

Now, we perform the addition:

1. Calculate the absolute values: \[ |1223| = 1223 \quad \text{and} \quad |856| = 856 \]

2. Subtract \(856\) from \(1223\): \[ 1223 - 856 = 367 \]

Since \(-1223\) is larger in absolute value and is negative, we recognize the result is negative:

\[ -1223 + 856 = -367 \]

The final result is \(-367\).

Since there is no fractional part, we can express this as a mixed number:

\[ -367 = -367 \frac{0}{1} \]

Thus, the answer as a mixed number is:

\[ \boxed{-367} \]