Using a number line, what whole number and rational number to the nearest half is √40 between?

√40 is between __ and __.

1 answer

To find the whole number and rational number to the nearest half that is between √40, we can start by finding the approximate value of √40.

First, we can find the square root of 40:
√40 ≈ 6.324555320336759

Since we are looking for the nearest half value, we can round 6.324555320336759 to the nearest half, which is 6.5.

This tells us that √40 is between 6 and 7 on the number line.

Therefore, √40 is between 6 and 7 as a whole number and between 6.5 and 7 as a rational number to the nearest half.