Use the additive inverse to find 8.76−26.54

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1 answer

To use the additive inverse to find \( 8.76 - 26.54 \), we can rewrite the subtraction as the addition of a negative number. The additive inverse of a number is the negative of that number. So, we can rewrite the expression as follows:

\[ 8.76 - 26.54 = 8.76 + (-26.54) \]

Now, we can add the two numbers:

  1. Add 8.76 and -26.54:
    • Start with 8.76.
    • Align with -26.54:

\[ \begin{array}{r} 8.76 \ +(-26.54) \ \hline \end{array} \]

  1. To perform the addition, it's easier if we work with absolute values:
    • \( 8.76 \) is positive.
    • \( 26.54 \) is negative.

So we subtract the smaller absolute value from the larger absolute value and keep the sign of the larger absolute value:

\[ 26.54 - 8.76 = 17.78 \]

Since \( 26.54 \) is larger and negative, the result will be negative:

\[ 8.76 - 26.54 = -17.78 \]

Thus, the final answer is:

\[ \boxed{-17.78} \]