Higher Order Thinking Tyler says there are infinitely many rational numbers between 0 and 1. Do you agree? Explain.

A classmate ordered these numbers from greatest to least. Is he correct? Construct an argument to justify your answer.

$$4.4,4.2,-4.42,-4.24$$

Make Sense and Persevere Order $-6 \frac{1}{4}$, $-6.35,-6 \frac{1}{5}$, and $-6.1$ from greatest to least. Explain.

The change in the value of a stock is represented by the rational number $-5.90$. Describe, in words, what this means.

Construct Arguments Which track members did NOT qualify for the state championship? Construct an argument to explain how you know.

Which animal is closest to a depth of -0.7 km?

$$\begin{array}{|l|c|} \hline {\text { Animal }} & \begin{array}{c} \text { Possible Locations Relative } \\ \text { to Ocean's Surface } \end{array} \\ \hline \text { Bloodbelly comb jelly } & -0.8 \mathrm{~km} \\ \hline \text { Deep sea anglerfish } & -\frac{2}{3} \mathrm{~km} \\ \hline \text { Fanfin anglerfish } & -2 \frac{1}{4} \mathrm{~km} \\ \hline \text { Gulper eel } & -1.1 \mathrm{~km} \\ \hline \text { Pacific blackdragon } & -\frac{3}{10} \mathrm{~km} \\ \hline \text { Slender snipe eel } & -0.6 \mathrm{~km} \\ \hline \end{array}$$

Suppose you plot the locations of the sea animals on a number line. Which animal would be represented by the point farthest from zero on the number line? Explain.

At 10:00 P.M. one winter night, the temperature was $-3^{\circ} \mathrm{C}$. At midnight, the temperature was $-7^{\circ} \mathrm{C}$. Use <, >, or = to compare the two temperatures and explain their relationship.

Delia's relative long Jump length was recorded as 0 . What does this mean?

Reasoning Suppose you plot the lengths in the table on a number line. Which track member's long jump length would be represented by the point closest to, but not equal to, 0 on the number line? Explain.

Suppose you plot the lengths in the table on a number line. Which track member's long jump length would be represented by the point closest, but not equal to, zero on the number line? Explain.

| Track Members | Long Jump Length
Relative to State
Qualifying Distance | | :--- | :---: | :---: | | Theresa | $-5.625 \mathrm{in.}$ | | Ann | $2 \mathrm{in}$. | | Shirley | $-3 \mathrm{in.}$ | | Delia | $0 \mathrm{in.}$ |

Explain how the inequality $-4^{\circ} \mathrm{C}>-9^{\circ} \mathrm{C}$ describes how the temperatures are related .

Why are integers rational numbers? Give an example.

Why are integers rational numbers? Give an example .