Using a number line, what whole number and rational number to the nearest half is 97−−√ between?(1 point)

Question

97−−√ is between
and

Answer 1

To find the whole number and the rational number to the nearest half that \(\sqrt{97}\) is between, we first need to approximate the value of \(\sqrt{97}\).

1. Calculate \(\sqrt{97}\): \(\sqrt{97} \approx 9.848\).

2. Now we can identify the whole number between which \(\sqrt{97}\) lies: \(\sqrt{97} \approx 9.848\) is between the whole numbers 9 and 10.

3. Next, we need to find the rational number to the nearest half:

   • The nearest half to 9.848 is 9.5.

Putting this together, we find that \(\sqrt{97}\) is between:

• Whole number: 9
• Rational number (to the nearest half): 9.5

So, \(\sqrt{97}\) is between 9 and 9.5.