Introduction to Integers

Example 3.1

Plot the numbers on a number line:

1. \(3\)
2. \(−3\)
3. \(−2\)

Example 3.2

Order each of the following pairs of numbers using < or >: 

1. \(14 \text{  ___   }6\) 
2. \(−1 \text{   ___   }9\) 
3. \(−1 \text{   ___   }−4\) 
4. \(2 \text{   ___   }−20\)

Example 3.3

Find the opposite of each number: 

1. \(7\) 
2. \(−10\)

Example 3.4

Simplify: \(−(−6)\).

Example 3.5

Evaluate \(−x\): 

1. when \(x=8\)
2. when \(x=−8\).