Lesson 2
Points on the Number Line
Let’s plot positive and negative numbers on the number line.
Problem 1
For each number, name its opposite.
 5
 28
 10.4
 0.875
 0
 8,003
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.
Problem 3
Plot these points on a number line.
 1.5
 the opposite of 2
 the opposite of 0.5
 2
Problem 4

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
 Order the temperatures above from the coldest to the warmest.
Problem 5
Solve each equation.
 \(8x = \frac{2}{3}\)
 \(1\frac{1}{2}=2x\)
 \(5x = \frac{2}{7}\)
 \(\frac{1}{4}x = 5\)
 \(\frac{1}{5}=\frac{2}{3}x\)
Problem 6
Write the solution to each equation as a fraction and as a decimal.

\(2x = 3\)

\(5y = 3\)

\(0.3z = 0.009\)
Problem 7
There are 15.24 centimeters in 6 inches.

How many centimeters are in 1 foot?

How many centimeters are in 1 yard?