To find the whole number and rational number to the nearest half that is between 105 and √105, let's estimate the square root of 105.
The square root of 100 is 10, and the square root of 121 is 11. Therefore, we know that the square root of 105 is between these two numbers.
Now, let's find the number halfway between 10 and 11. It is 10.5.
Therefore, the whole number and rational number to the nearest half that is between 105 and √105 is between 10.5 and 11.
Therefore, the answer is C. between 10.5 and 11.
Using a number line, what whole number and rational number to the nearest half is 105−−−√ between?(1 point) Responses
A. between 9.5 and 10
B. between 10 and 10.5
C. between 10.5 and 11
D. between 11 and 11.5
1 answer