Lesson 2

Comparing Positive and Negative Numbers

View Student Lesson

Problem 1

Plot these points on a number line.

  • -1.5
  • the opposite of -2
  • the opposite of 0.5
  • -2

 

Solution

For access, consult one of our IM Certified Partners.

Problem 2

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. \(\text-12.5 > \text-12\)

Solution

For access, consult one of our IM Certified Partners.

Problem 3

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

A:

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

B:

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

C:

-8.7 is less than -8.4.

D:

-8.7 is greater than -8.4.

E:

-8.4 is less than -8.7.

F:

-8.4 is greater than -8.7.

Solution

For access, consult one of our IM Certified Partners.

Problem 4

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

A number line with 5 evenly spaced tick marks, labeled negative 2 through 2.

  

Solution

For access, consult one of our IM Certified Partners.

Problem 5

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?

Solution

For access, consult one of our IM Certified Partners.

(From Unit 4, Lesson 6.)

Problem 6

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

  1. \(2x = 3\)

  2. \(5y = 3\)

  3. \(0.3z = 0.009\)

Solution

For access, consult one of our IM Certified Partners.

(From Unit 4, Lesson 5.)