Question

Using a number line, what whole number and rational number to the nearest half is V40 between?

Answer 1

To determine the whole number and rational number to the nearest half that V40 falls between, we first need to calculate the square root of 40 (since V40 denotes a square root).

\[
\sqrt{40} \approx 6.32
\]

Next, we identify the nearest whole number. The whole numbers surrounding 6.32 are 6 and 7. Thus, \(\sqrt{40}\) is between the whole numbers 6 and 7.

Now, to find the rational number to the nearest half, we consider the nearest halves around 6.32. The halves surrounding this decimal are:

- 6.0
- 6.5
- 7.0

The number 6.32 is closer to 6.5 than it is to either 6.0 or 7.0.

In summary, V40 (or \(\sqrt{40}\)) is between the whole numbers **6 and 7**, and the rational number to the nearest half is **6.5**.