# 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.

1. -5
2. 28
3. -10.4
1. 0.875
2. 0
3. -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

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.
(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. $$\frac{1}{5}=\frac{2}{3}x$$
(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. $$0.3z = 0.009$$

(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?

(From Unit 3, Lesson 4.)