Using a number line, what is the approximate number value of 103−−−√ ? Provide your answer in decimal form, rounded to the nearest hundredth.(1 point) 103−−−√ is approximately_______ .

Answer 1

To approximate the value of 103−−−√, we can use a number line and estimate the position of the square root of 103.

On a number line, we can see that the square root of 100 is 10, and the square root of 121 is 11. Since 103 is between 100 and 121, we can estimate that the square root of 103 is between 10 and 11.

To find a more precise estimate, we can divide the difference between 103 and 100 (which is 3) by the difference between the perfect squares whose square roots we are comparing (which is 121 - 100 = 21).

3/21 = 0.14285714285714285

So, the approximate value of 103−−−√ is approximately 10.14 when rounded to the nearest hundredth.