Using a number line, what whole number and rational number to the nearest half is 105−−−√ between?(1 point)
Responses
between 10.5 and 11
between 10.5 and 11
between 10 and 10.5
between 10 and 10.5
between 11 and 11.5
between 11 and 11.5
between 9.5 and 10
between 10 and 10.5
To find the whole number and rational number nearest to √105, let's evaluate it first.
√105 is approximately equal to 10.246.
Now, let's find the whole number and rational number nearest to this approximation.
The whole number nearest to 10.246 is 10.
To find the rational number to the nearest half, we need to check which half (0.5) it is closest to.
10.246 is closer to 10.5 than 10, so the rational number to the nearest half is between 10 and 10.5.
Therefore, the whole number and rational number to the nearest half that √105 falls between are 10 and 10.5.