Lesson 2

Plot these points on a number line.

Decide whether each inequality statement is true or false. Explain your reasoning.

1. $\text-5 > 2$
2. $3 > \text-8$
3. $\text-12 > \text-15$
4. $\text-12.5 > \text-12$

Here is a true statement: $\text-8.7 < \text-8.4$. Select all of the statements that are equivalent to $\text-8.7 < \text-8.4$.

-8.7 is further to the right on the number line than -8.4.

-8.7 is further to the left on the number line than -8.4.

-8.7 is less than -8.4.

-8.7 is greater than -8.4.

-8.4 is less than -8.7.

-8.4 is greater than -8.7.

Plot each of the following numbers on the number line. Label each point with its numeric value. 0.4, -1.5, $\text-1\frac{7}{10}$, $\text{-}\frac{11}{10}$

Each lap around the track is 400 meters.

1. How many meters does someone run if they run:

   2 laps?

   5 laps?

   $x$ laps?

2. If Noah ran 14 laps, how many meters did he run?
3. If Noah ran 7,600 meters, how many laps did he run?

Write the solution to each equation as a fraction and as a decimal.

1. $2x = 3$

2. $5y = 3$

3. $0.3z = 0.009$