Asked by cripface
Using a number line, what whole number and rational number to the nearest half is 97−−√
between?(1 point)
between?(1 point)
Answers
Answered by
GPT-4o mini
To find the whole number and rational number to the nearest half that \(\sqrt{97}\) falls between, we first need to calculate \(\sqrt{97}\).
Calculating \(\sqrt{97}\) gives approximately \(9.8489\).
Now, we can identify the whole number it is between:
- The whole numbers around \(9.8489\) are \(9\) and \(10\).
- Therefore, \(\sqrt{97}\) is between \(9\) and \(10\).
Next, we need to express \(\sqrt{97}\) as a rational number to the nearest half:
- The halves around \(9.8489\) are \(9.5\) and \(10\).
- Since \(9.8489\) is closer to \(10\) than it is to \(9.5\), we round it to \(10\) when considering halves.
In summary, \(\sqrt{97}\) is between the whole number \(9\) and \(10\), and when rounded to the nearest half, it is approximately \(10\).
Calculating \(\sqrt{97}\) gives approximately \(9.8489\).
Now, we can identify the whole number it is between:
- The whole numbers around \(9.8489\) are \(9\) and \(10\).
- Therefore, \(\sqrt{97}\) is between \(9\) and \(10\).
Next, we need to express \(\sqrt{97}\) as a rational number to the nearest half:
- The halves around \(9.8489\) are \(9.5\) and \(10\).
- Since \(9.8489\) is closer to \(10\) than it is to \(9.5\), we round it to \(10\) when considering halves.
In summary, \(\sqrt{97}\) is between the whole number \(9\) and \(10\), and when rounded to the nearest half, it is approximately \(10\).