Question
Select the expression that has the same sum as%C2%A0 −15+6 . %C2%A0 NOTE: There is a check answer button in the bottom right corner. Click this to check your answer before moving on to the next question. It will not tell you the correct answer, but it will tell you if the answer you selected is correct. You can use this feature once per question. (1 point) Responses 6+(−15) 6 plus negative 15 - no response given 15+(−6) 15 plus negative 6 - incorrect 15+6 15 plus 6 - no response given −6+(−15)
Answers
GPT-4o mini
To find an expression that has the same sum as \(-15 + 6\), we first simplify this expression:
\[
-15 + 6 = -9
\]
Now, let's evaluate the provided options:
1. **\(6 + (-15)\)**:
- This simplifies to \(6 - 15 = -9\).
2. **\(15 + (-6)\)**:
- This simplifies to \(15 - 6 = 9\) - this does not equal \(-9\).
3. **\(15 + 6\)**:
- This simplifies to \(15 + 6 = 21\) - this does not equal \(-9\).
4. **\(-6 + (-15)\)**:
- This simplifies to \(-6 - 15 = -21\) - this does not equal \(-9\).
The expression that has the same sum as \(-15 + 6\) is **\(6 + (-15)\)**.
\[
-15 + 6 = -9
\]
Now, let's evaluate the provided options:
1. **\(6 + (-15)\)**:
- This simplifies to \(6 - 15 = -9\).
2. **\(15 + (-6)\)**:
- This simplifies to \(15 - 6 = 9\) - this does not equal \(-9\).
3. **\(15 + 6\)**:
- This simplifies to \(15 + 6 = 21\) - this does not equal \(-9\).
4. **\(-6 + (-15)\)**:
- This simplifies to \(-6 - 15 = -21\) - this does not equal \(-9\).
The expression that has the same sum as \(-15 + 6\) is **\(6 + (-15)\)**.