Question

using a number line, what whole number and rational number to the nearest half is 30−−√%0D%0A30%0D%0A between?%0D%0A%0D%0AShow your work. %0D%0A%0D%0A(1 point)%0D%0A30−−√ is between%0D%0A30%0D%0A %0D%0A𝑖%0D%0A𝑠%0D%0A %0D%0A𝑏%0D%0A𝑒%0D%0A𝑡%0D%0A𝑤%0D%0A𝑒%0D%0A𝑒%0D%0A𝑛%0D%0A and%0D%0A𝑎%0D%0A𝑛%0D%0A𝑑%0D%0A

Answer 1

not so many unnecessary symbols and words

Answer 2

To find the whole number and the rational number (to the nearest half) that \( \sqrt{30} \) is between, we'll first need to calculate the approximate value of \( \sqrt{30} \).

1. **Calculate \( \sqrt{30} \):**
\[
\sqrt{30} \approx 5.477
\]

2. **Determine the whole number:**
The whole numbers around \( 5.477 \) are:
- The greatest whole number less than \( 5.477 \) is \( 5 \).
- The smallest whole number greater than \( 5.477 \) is \( 6 \).

Therefore, \( \sqrt{30} \) is between the whole numbers \( 5 \) and \( 6 \).

3. **Determine the rational number to the nearest half:**
The nearest half surrounding \( 5.477 \) would be:
- The nearest half below \( 5.477 \) is \( 5.5 \).
- The nearest half above \( 5.477 \) is \( 5.0 \).

Since \( 5.477 \) is closer to \( 5.5 \) than to \( 5.0 \), we round \( \sqrt{30} \) to the nearest half:
\[
\text{Nearest half} = 5.5
\]

4. **Conclusion:**
Therefore, we can conclude that:
\[
\sqrt{30} \text{ is between the whole numbers } 5 \text{ and } 6, \text{ and the rational number to the nearest half is } 5.5.
\]

So the final statement can be written as:
\[
\sqrt{30} \text{ is between } 5 \text{ and } 6, \text{ and } 5.5.
\]

Answer 3

Sure! Here’s a more concise response:

1. Calculate \( \sqrt{30} \):
\[
\sqrt{30} \approx 5.477
\]

2. Whole numbers:
- Between 5 and 6.

3. Nearest half:
- Round \( 5.477 \) to \( 5.5 \).

Final answer:
\[
\sqrt{30} \text{ is between } 5 \text{ and } 6, \text{ and } 5.5.
\]