Using a number line, what whole number and rational number to the nearest half is 40−−√ between?
40−−√ is between
and --
On a number line, the whole number and rational number nearest to $\sqrt{40}$ would be 6.5 and 7 respectively.
Therefore, $\sqrt{40}$ is between 6.5 and 7.
To find the whole number and rational number to the nearest half that is between 40−−√, we will use a number line.
First, let's find the whole number. Since the square root of 40 is between 6 and 7 (because 6²=36 and 7²=49), we know that 40−−√ is greater than 6 and less than 7.
Next, let's find the rational number to the nearest half. Since the decimal value of 40−−√ is approximately 6.32, we can round it to the nearest half, which is 6.5.
Therefore, 40−−√ is between the whole number 6 and the rational number 6.5 on the number line.