Use the additive inverse to find - 123.45 - (-234.76)

O 121.31
O -111.31
O 111.31
O 358.21

1 answer

To solve the expression \(-123.45 - (-234.76)\), we can use the concept of the additive inverse. The additive inverse of a number \(x\) is \(-x\). Therefore, subtracting a negative number is equivalent to adding its positive counterpart.

So, we can rewrite the expression:

\[ -123.45 - (-234.76) = -123.45 + 234.76 \]

Now, let's calculate this:

  1. First, we add the two numbers while taking care of their signs: \[ 234.76 - 123.45 \]

  2. Now, let's perform the subtraction:

    • We can align the numbers:
      234.76
    - 123.45
    ---------
    
  3. Now we subtract:

    • For the hundredths place: \(6 - 5 = 1\)
    • For the tenths place: \(7 - 4 = 3\)
    • For the units place: \(4 - 3 = 1\)
    • For the tens place: \(3 - 2 = 1\)
    • For the hundreds place: \(2 - 1 = 1\)

So, putting it together, we get:

\[ 234.76 - 123.45 = 111.31 \]

Thus, the final result is:

\[ -123.45 - (-234.76) = 111.31 \]

Therefore, the answer is:

111.31