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

Answer 1

To find the whole number and rational number nearest to 97-√, we can represent the number on a number line.

First, calculate the value of 97-√:
97-√ = 97 - 9.85 ≈ 87.15

Now, plot 87.15 on a number line by locating the whole numbers closest to it:
|___86______87____87.5___|___88______89____|
◄--87.15

The whole number nearest to 87.15 is 87, and the rational number nearest to 87.15 (to the nearest half) is 87.5.