Question

Using a number line, what whole number and rational number to the nearest half is 40−−√
40
between?(1 point)
40−−√
40
is between and .

Answer 1

To find the square root of 40 and identify the whole number and the nearest half it is between, we first calculate the approximate value of \(\sqrt{40}\).

### Step 1: Find the square root of 40
\[
\sqrt{40} \approx 6.32
\]

### Step 2: Identify the closest whole number
The whole number that \(\sqrt{40}\) is between is:
- \(6\) and \(7\)

### Step 3: Find the nearest half
Next, we find the nearest half around \(6.32\). The half numbers close to this value are \(6\) and \(6.5\).

Since \(6.32\) is closer to \(6.5\) than to \(6\):
- The nearest half to \(\sqrt{40}\) is \(6.5\).

### Conclusion
Thus, we can conclude that:
\[
\sqrt{40} \text{ is between } 6 \text{ and } 6.5.
\]

So, \(\sqrt{40}\) is between \(6\) and \(6.5\).