Question

order these numbers from least to greatest.
\\( -dfrac{8}{18} \\), \\( \sqrt{17} \\), \\( \dfrac{84}{20} \\), \\( -0.45 \\)
\\( -dfrac{8}{18} \\) \\( \sqrt{17} \\) \\( \dfrac{84}{20} \\) \\( -0.45 \\)
\\( \square < \square < \square < \square \\)

Explanation:

Step1: Convert to decimals

$-\frac{8}{18} \approx -0.444$, $\sqrt{17} \approx 4.123$, $\frac{84}{20} = 4.2$, $-0.45$

Step2: Compare decimal values

$-0.45 < -0.444 < 4.123 < 4.2$

Step3: Map back to original numbers

Replace decimals with original terms.

Answer:

$-0.45 < -\frac{8}{18} < \sqrt{17} < \frac{84}{20}$