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

3 answers

We can start by finding the whole number that 97−−√ is between. We know that 97−−√ is greater than 9 since 9 squared is 81. Similarly, we know that 97−−√ is less than 10 since 10 squared is 100. Therefore, the whole number that 97−−√ is between is 9.

Next, we can find the rational number to the nearest half. We can think of a half as the square root of one-fourth, which is 1/2. Therefore, 97−−√ is between 9 and 9 1/2.

So, 97−−√ is between 9 and 9 1/2 on a number line.
wrong
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Let's correct the solution.

We know that 97−−√ is greater than 9 since 9 squared is 81. Similarly, we know that 97−−√ is less than 10 since 10 squared is 100. Therefore, the whole number that 97−−√ is between is 9.

To find the rational number to the nearest half, we can determine the midpoint between 9 and 10 on the number line.

The midpoint can be found by taking the average of 9 and 10:

(9 + 10) / 2 = 19 / 2 = 9.5

So, 97−−√ is between 9 and 9.5 on a number line.
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