Using a number line, what whole number and rational number to the nearest half is 105−−−√ between?
Responses
between 11 and 11.5
between 11 and 11.5 - no response given
between 10 and 10.5
between 10 and 10.5 - no response given
between 10.5 and 11
between 10.5 and 11 - no response given
between 9.5 and 10
between 9.5 and 10 - no response given
To find the whole number and rational number to the nearest half of √105, we can use a number line. First, find the whole number that is closest to √105. We know that √100 is equal to 10, so √105 is slightly greater than 10.
Next, we can look for the possible rational numbers to the nearest half between 10 and 11. Since the half-way point between 10 and 11 is 10.5, we can determine that √105 is between 10.5 and 11.
Therefore, the whole number and rational number to the nearest half between which √105 lies are 10 and 10.5, respectively.