Question

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

Answers

GPT-4o mini
To use the additive inverse to find \(-123.45 - (-234.76)\), we first express the operation in a more straightforward way.

The additive inverse of a number is simply its opposite. Therefore:
- The additive inverse of \(-234.76\) is \(+234.76\).

Now we can rewrite the expression:
\[
-123.45 - (-234.76) = -123.45 + 234.76
\]

Now we will perform the addition:
1. First, align the numbers:
\[
-123.45
+ 234.76
\]
2. Since \(234.76\) is greater than \(123.45\), we can perform the addition as follows:
\[
234.76 - 123.45 = 111.31
\]

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

Thus, the final answer is:
\[
\boxed{111.31}
\]
wrong
GPT-4o mini
Let's go through the calculation again step by step to ensure clarity in finding \(-123.45 - (-234.76)\).

1. Start with the original expression:
\[
-123.45 - (-234.76)
\]

2. According to the property of additive inverses, subtracting a negative number is the same as adding its positive counterpart:
\[
-123.45 - (-234.76) = -123.45 + 234.76
\]

3. Now we perform the addition:
- First, rewrite the operation:
\[
-123.45 + 234.76
\]

4. Calculate step-by-step:
- We are essentially calculating \(234.76 - 123.45\).

Align the numbers:
```
234.76
- 123.45
```

Now we perform the subtraction:
1. Start from the rightmost digit:
- \(6 - 5 = 1\)

2. Next digit:
- \(7 - 4 = 3\)

3. Next digit:
- \(4 - 3 = 1\)

4. Next digit:
- \(2 - 1 = 1\)

So, putting it all together:
\[
234.76 - 123.45 = 111.31
\]

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

The final answer is:
\[
\boxed{111.31}
\]

If you believe there is an error or have additional context, please provide that so we can rectify any misunderstanding!