Using a number line, what whole number and rational number to the nearest half is 105−−−√ between?(1 point)
Responses
between 11 and 11.5
between 10 and 10.5
between 9.5 and 10
between 10.5 and 11
The square root of 105 is approximately 10.246. To the nearest half, this would be 10.5. Therefore, 105−−−√ is between 10.5 and 11. Answer: between 10.5 and 11.
To find the whole number and rational number to the nearest half that is between 105 and its square root, we can first calculate the square root of 105.
√105 ≈ 10.247
The nearest half to 10.247 is 10.5. Therefore, the whole number and rational number to the nearest half that is between 105 and its square root is between 10 and 10.5.
So, the correct response is:
between 10 and 10.5