Question

Put these numbers in order from least to greatest: √15, 34/7,-14

Answer 1

To arrange the numbers \( \sqrt{15} \), \( \frac{34}{7} \), and \(-14\) from least to greatest, we need to approximate or compute the values of the square root and the fraction.

1. **Calculating \( \sqrt{15} \)**:
\( \sqrt{15} \) is approximately equal to \( 3.87 \) (since \( 3.87^2 \approx 15 \)).

2. **Calculating \( \frac{34}{7} \)**:
\( \frac{34}{7} \) is equal to approximately \( 4.857 \) (since \( 34 \div 7 \approx 4.857 \)).

3. **The third number is** \( -14 \), which is clearly less than both \( 3.87 \) and \( 4.857 \).

Now we can arrange them:
- The smallest number is \(-14\).
- Next is \( \sqrt{15} \) (approximately \( 3.87 \)).
- The largest number is \( \frac{34}{7} \) (approximately \( 4.857 \)).

Thus, the order from least to greatest is:
\[
-14, \sqrt{15}, \frac{34}{7}
\]