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

(It's not 10 or 9.5)

1 answer

To determine the whole number and rational number to the nearest half that √97 is between, we can use a number line.

First, we find the whole number that √97 is closest to. We know that √97 is greater than √81 (which is 9). However, √97 is less than √100 (which is 10). Therefore, the whole number that √97 is closest to is 10.

Next, we find the two rational numbers (intervals of half) between which √97 falls. The nearest half before 10 is 9.5, and the nearest half after 10 is 10.5. Therefore, √97 is between 9.5 and 10.5.