Use the additive inverse to find −123.45−(−234.76).(1 point)

Responses

111.31
111.31

121.31
121.31

−111.31
negative 111.31

−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 \(-x\).

So, \(-(-234.76)\) is simply \(+234.76\).

Now, we can rewrite the expression as:

\[ -123.45 + 234.76 \]

Next, we perform the addition:

  1. Calculate \(234.76 - 123.45\).
  2. Align the numbers:
  234.76
- 123.45
---------
  1. Subtract:
  • Start from the right:
    • \(6 - 5 = 1\)
    • \(7 - 4 = 3\)
    • \(4 - 3 = 1\)
    • \(2 - 1 = 1\)

So the result is:

\[ 234.76 - 123.45 = 111.31 \]

Thus, the final answer to \(-123.45 - (-234.76)\) is \(111.31\).

The correct response is:

111.31