Question

reasoning which number below comes first when the numbers are listed from least to greatest? explain. then write the numbers in order from least to greatest.$\frac{1}{3}, -3, sqrt{7}, -\frac{6}{5}, 3.8$write the numbers in order from least to greatest.$\bigcirc$ a. $-3, \frac{1}{3}, -\frac{6}{5}, 3.8, sqrt{7}LXB0\bigcirc$ c. $-3, -\frac{6}{5}, \frac{1}{3}, 3.8, sqrt{7}$$\bigcirc$ d. $-3, -\frac{6}{5}, \frac{1}{3}, sqrt{7}, 3.8$

Explanation:

Step1: Convert to decimal values

$\frac{1}{3} \approx 0.33$, $-\frac{6}{5} = -1.2$, $\sqrt{7} \approx 2.65$

Step2: Compare negative numbers

$-3 < -1.2 = -\frac{6}{5}$

Step3: Compare positive numbers

$0.33=\frac{1}{3} < 2.65=\sqrt{7} < 3.8$

Step4: Combine all order

Least to greatest: $-3, -\frac{6}{5}, \frac{1}{3}, \sqrt{7}, 3.8$

Answer:

D. $-3, -\frac{6}{5}, \frac{1}{3}, \sqrt{7}, 3.8$