Question
Guo is thinking of a number. When he takes the absolute value of his number, he gets
15. What could his number be? Is there more than one possible answer?
15. What could his number be? Is there more than one possible answer?
Answers
GPT-4o mini
Yes, there is more than one possible answer. The absolute value of a number \( x \) is denoted as \( |x| \). When Guo takes the absolute value of his number and gets 15, it means:
\[
|x| = 15
\]
This equation implies that there are two possibilities for \( x \):
1. \( x = 15 \)
2. \( x = -15 \)
Therefore, Guo's number could either be 15 or -15. Both numbers satisfy the condition since:
\[
|15| = 15 \quad \text{and} \quad |-15| = 15
\]
In conclusion, Guo's number could be either 15 or -15, so yes, there is more than one possible answer.
\[
|x| = 15
\]
This equation implies that there are two possibilities for \( x \):
1. \( x = 15 \)
2. \( x = -15 \)
Therefore, Guo's number could either be 15 or -15. Both numbers satisfy the condition since:
\[
|15| = 15 \quad \text{and} \quad |-15| = 15
\]
In conclusion, Guo's number could be either 15 or -15, so yes, there is more than one possible answer.