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

1 answer

To find the whole number and rational number to the nearest half that 97−−√97 is between, we can represent them on a number line.

First, let's find the whole number to the nearest half. Since 97−−√97 is between two whole numbers, we can choose either of them.

Let's take the lower whole number: 9.

Next, let's find the rational number to the nearest half. To do this, we can split the interval between the two whole numbers into halves and locate the point that 97−−√97 is closest to.

The two whole numbers between which 97−−√97 lies are 9 and 10.

Splitting this interval into halves, we have 9.5, which is the rational number to the nearest half that 97−−√97 is between on the number line.

Therefore, 97−−√97 is between 9 and 9.5 on the number line.