This document introduces integers and the number line. It defines the sets of natural numbers, whole numbers, and integers, and explains that integers include both positive and negative whole numbers. It also defines absolute value and the comparison symbols used to order integers, and provides examples of arranging integers in order and comparing integers on the number line.

1. Number Line: Comparing and Ordering Integers
LESSON 1

2. Number Line
Origin Positive Numbers
Negative Numbers

3. Number Sets
Counting Numbers/Natural Numbers: numbers we say
◦{1, 2, 3, 4, 5, …}
Whole Numbers: The counting numbers and zero
◦{0, 1, 2, 3, 4, …}
Integers: The whole numbers and their opposites
◦{…, -2, -1, 0, 1, 2…}

4. Absolute Value
The distance of that number from zero
always positive
−5 5

5. Comparison Symbols
<
>
=
≤
≥
Less than
Greater than
Equal
Less than or equal to
Greater than or equal to

6. Examples
Ex. 1: Arrange these integers
in order from least to
greatest: -2, 2, 0, 1
Ex. 2: Compare
◦-4 -3
◦ 2 −2
Ex. 3 Graph the numbers in
this sequence on a number
line. {…, -4, -2, 0, 2, 4…}
Ex. 4 Graph two numbers
that are 5 units from zero.