Using a number line, what whole number and rational number to the nearest half is 105−−−√ between?(1 point)
Responses
between 9.5 and 10
between 9.5 and 10
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
To determine the whole number and rational number to the nearest half that is between √105, we can start by finding the approximate value of √105. The square root of 105 is approximately equal to 10.246.
Next, we need to find the whole numbers and rational numbers that are closest to 10.246. Since we are looking for numbers to the nearest half, we need to round 10.246 to the nearest half.
The closest half number below 10.246 is 10, and the closest half number above 10.246 is 10.5.
Therefore, the whole number and rational number to the nearest half that is between √105 is between 10 and 10.5.