using a number line, what whole number and rational number to the nearest half is \sqrt(40) between?

1 answer

To find a whole number and rational number to the nearest half that \sqrt(40) is between, we first calculate the value of \sqrt(40):

\sqrt(40) ≈ 6.32

Next, we locate this value on a number line:

... 5.5, 6.0, 6.5, 7.0, ...

Since \sqrt(40) is approximately 6.32, it is between the whole numbers 6 and 7.

To find the rational number nearest to the half, we round \sqrt(40) to the nearest half:

6.32 ≈ 6.5

Therefore, \sqrt(40) is between the whole number 6 and the rational number 6.5 on the number line.