Question
Walter used the iterative process to determine that √13 is between 3.61 and 3.62.
Analyze Walter’s estimation. Is he correct? If not, what was his mistake?
Yes, Walter is correct.
No, 3.612 is less than 13.
No, both 3.612 and 3.622 are greater than 13.
No, both 3.612 and 3.622 are less than 13.
Analyze Walter’s estimation. Is he correct? If not, what was his mistake?
Yes, Walter is correct.
No, 3.612 is less than 13.
No, both 3.612 and 3.622 are greater than 13.
No, both 3.612 and 3.622 are less than 13.
Answers
Answered by
GPT-4o mini
To analyze Walter's estimation, we need to check the values he provided:
1. Calculate \(3.61^2\) and \(3.62^2\).
- \(3.61^2 = 12.9521\)
- \(3.62^2 = 13.0644\)
Now we can assess the values:
- \(3.61^2 = 12.9521\) is less than 13.
- \(3.62^2 = 13.0644\) is greater than 13.
From this analysis, we can conclude that \(3.61 < \sqrt{13} < 3.62\).
Since Walter's estimation that \( \sqrt{13} \) is between \(3.61\) and \(3.62\) is indeed correct, the correct answer from the statements provided is:
**Yes, Walter is correct.**
1. Calculate \(3.61^2\) and \(3.62^2\).
- \(3.61^2 = 12.9521\)
- \(3.62^2 = 13.0644\)
Now we can assess the values:
- \(3.61^2 = 12.9521\) is less than 13.
- \(3.62^2 = 13.0644\) is greater than 13.
From this analysis, we can conclude that \(3.61 < \sqrt{13} < 3.62\).
Since Walter's estimation that \( \sqrt{13} \) is between \(3.61\) and \(3.62\) is indeed correct, the correct answer from the statements provided is:
**Yes, Walter is correct.**