Question
use the additive inverse to find -123.45 - ( -234.76)
A. -358.21
B. 111.31
C. -111.31
D. 121.31
A. -358.21
B. 111.31
C. -111.31
D. 121.31
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To solve \(-123.45 - (-234.76)\), we can use the additive inverse property. The additive inverse of a number is the opposite of that number. Thus, \(-(-234.76)\) becomes \(+234.76\).
Now we can rewrite the expression:
\[
-123.45 + 234.76
\]
Now we perform the addition:
\[
234.76 - 123.45
\]
To compute this, we can line up the numbers vertically:
```
234.76
- 123.45
_________
```
Subtracting:
- From 6, we can't subtract 5, so we borrow 1 from the 7 (turning it into a 6), making 16.
- \(16 - 5 = 11\), so we write down 1 and carry over 1.
- From 6 (now 6 after borrowing), subtract 4: \(6 - 4 = 2\).
- Next, we have 4 (originally 3, but we borrowed 1) and we subtract 3: \(4 - 3 = 1\).
- Moving on, \(2 - 2 = 0\).
- Finally, \(2 - 0 = 2\).
Putting it all together, we have:
```
234.76
- 123.45
_________
111.31
```
Thus, \(-123.45 - (-234.76) = 111.31\).
So the correct answer is:
**B. 111.31**
Now we can rewrite the expression:
\[
-123.45 + 234.76
\]
Now we perform the addition:
\[
234.76 - 123.45
\]
To compute this, we can line up the numbers vertically:
```
234.76
- 123.45
_________
```
Subtracting:
- From 6, we can't subtract 5, so we borrow 1 from the 7 (turning it into a 6), making 16.
- \(16 - 5 = 11\), so we write down 1 and carry over 1.
- From 6 (now 6 after borrowing), subtract 4: \(6 - 4 = 2\).
- Next, we have 4 (originally 3, but we borrowed 1) and we subtract 3: \(4 - 3 = 1\).
- Moving on, \(2 - 2 = 0\).
- Finally, \(2 - 0 = 2\).
Putting it all together, we have:
```
234.76
- 123.45
_________
111.31
```
Thus, \(-123.45 - (-234.76) = 111.31\).
So the correct answer is:
**B. 111.31**
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