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

Question

Responses

−358.21
negative 358.21

−111.31
negative 111.31

111.31
111.31

121.31

Answer 1

To calculate \(-123.45 - (-234.76)\) using the additive inverse, we can rewrite the expression:

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

Now, we can perform the addition:

\[ 234.76 - 123.45 \]

Aligning the numbers for addition:

  234.76
- 123.45
---------

Now, we perform the addition step-by-step:

1. Take the decimals into account:

   • \[ 234.76 \]
   • \[ -123.45 \]
   • Start from the rightmost side.

2. Adding the hundredths:

   • \(6 + 5 = 11\) (write 1 and carry over 1)

3. Adding the tenths:

   • \(7 + 4 + 1 (carry) = 12\) (write 2 and carry over 1)

4. Adding the units:

   • \(4 + 3 + 1 (carry) = 8\)

5. Adding the tens:

   • \(2 + 2 = 4\)

So the addition looks like this:

  234.76
- 123.45
---------
  111.31

Thus, the final result is:

\[ -123.45 + 234.76 = 111.31 \]

Therefore, the answer is 111.31.