Question

Use the additive inverse to find 8.76−26.54
.(1 point)
$$

Answer 1

To find \( 8.76 - 26.54 \) using the additive inverse, we can rewrite the expression. The additive inverse of a number \( a \) is \( -a \).

So, we can express the subtraction as:

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

Now, we can add the two numbers:

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

Now let's perform the calculation:

1. **Align the numbers for addition**:
\[
\begin{array}{r}
8.76 \\
-26.54 \\
\hline
\end{array}
\]

2. **Subtract each column from right to left**:

- In the hundredths place: \( 6 - 4 = 2 \)
- In the tenths place: \( 7 - 5 = 2 \)
- In the units place: \( 8 - 6 = 2 \) (We can’t do this directly, since 8 is less than 6, so we carry over)
- From the tens: We borrow 1 from the 0 in front of the 8, making it a 7. This means we are subtracting \( 26 - 27 = -1 \)

This gives us:
\[
8.76 - 26.54 = -17.78
\]

Thus, the result is:

\[
\boxed{-17.78}
\]