Using a number line, what whole number and rational number to the nearest half is 97√ between?

Answer 1

To determine the whole number and rational number to the nearest half that is closest to 97√, we can start by finding the square root of 97.

√97 ≈ 9.848

So, we know that 97√ is slightly larger than 9.848, as 97√ ≈ 9.848 * √1 = 9.848.

Let's plot this value on a number line.
```
-1 -0.5 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5
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```
The value 9.848 is located between 9.5 and 10.

The whole number closest to 9.848 is 10, and the rational number to the nearest half is 9.5.

Therefore, the whole number and rational number to the nearest half that 97√ is between are:

Whole number: 10
Rational number to the nearest half: 9.5