Use the additive inverse to find 8.76−26.54

Question

.(1 point)
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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:

\[ \boxed{-17.78} \]