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. \(0.3z = 0.009\)