Lesson 2

Points on the Number Line

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Problem 1

For each number, name its opposite.

  1. -5
  2. 28
  3. -10.4
  1. 0.875
  2. 0
  3. -8,003

Solution

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Problem 2

Plot the numbers -1.5, \(\frac{3}{2}\), \(\text-\frac{3}{2}\), and \(\text-\frac{4}{3}\) on the number line. Label each point with its numeric value.

A number line with 5 evenly spaced tick marks. The numbers negative 2 through 2 are indicated.

Solution

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Problem 3

Plot these points on a number line.

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

 

Solution

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Problem 4

  1. Represent each of these temperatures in degrees Fahrenheit with a positive or negative number.

    • 5 degrees above zero
    • 3 degrees below zero
    • 6 degrees above zero
    • \(2\frac34\) degrees below zero
  2. Order the temperatures above from the coldest to the warmest.

Solution

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(From Unit 7, Lesson 1.)

Problem 5

Solve each equation.

  1. \(8x = \frac{2}{3}\)
  2. \(1\frac{1}{2}=2x\)
  3. \(5x = \frac{2}{7}\)
  4. \(\frac{1}{4}x = 5\)
  5. \(\frac{1}{5}=\frac{2}{3}x\)

Solution

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(From Unit 6, Lesson 5.)

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

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(From Unit 6, Lesson 5.)

Problem 7

There are 15.24 centimeters in 6 inches.

  1. How many centimeters are in 1 foot?

  2. How many centimeters are in 1 yard?

Solution

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(From Unit 3, Lesson 4.)