Using a number line, what whole number and rational number to the nearest half is 105−−−√ between?(1 point)
Responses
between 10 and 10.5
between 10 and 10.5
between 10.5 and 11
between 10.5 and 11
between 11 and 11.5
between 11 and 11.5
between 9.5 and 10
between 10 and 10.5
To determine the whole number and rational number to the nearest half that √105 is between on a number line, we need to find the closest whole number and half.
We know that √105 is between 10 and 11.
Next, we look for the nearest half between these two whole numbers.
Since 10 is halfway between 9 and 11, and 11 is halfway between 10 and 12, we can conclude that √105 is between 10 and 11.
Therefore, the whole number and rational number to the nearest half that √105 is between is between 10 and 10.5.