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**Definition:** The term **integer** represents all **natural numbers and their opposites. Fractions and decimals are not integers. **

**Integers** can be shown as a set of numbers, as in this example:

Or integers can be represented on a number line as in this example:

If a number is greater than 0, it is called a **positive integer**. No sign is needed to indicate a positive integer.

Look at the number line above. All numbers to the **right of 0** are **positive**.

**Examples: 4, 8, and 15 are positive numbers.**

The arrows on the end of the number line indicate that the number line goes on until infinity (forever).

Positive integers are pretty easy at this point, because you've been working with them since you started school!

So... let's move on.

For every **positive integer** there is a **negative integer**. They are called **opposites**.

Examples:

5 and -5 are opposites

20 and -20 are opposites

**Negative Integers** are **less than 0** (or to the left of 0 on the number line.) If a number is negative, there will be a negative (-) symbol in front of the number.

**Example: -2, -6, and -20 are negative integers**

The trickiest thing to understand about negative numbers is that the **farther away from 0**, the **smaller** the number.

**Example:** -5 is less than -2.

(Think about this - if you OWE someone $5, then you will have less money after paying, than if you only OWED $2.)

**Other Examples:** -10 is less than -8.

Or... you could say that -3 is greater than -19.

**When ordering negative numbers:**

The closer the negative number is to 0, the larger it is.

**Definition**: **Absolute Value** is the value of the number **without** regards to its' sign. The value is **ALWAYS** a **positive**
number!

The absolute value **symbol** is shown with the following symbol: |n| where n is any number.

**Examples:**

|7| = 7

|-5| = 5

|-10| = 10

TIP: Your answer is just the **number** within the absolute value sign. **Do not** bring the sign with it!

Hopefully you now have a better understanding of positive and negative integers!

If you are following the Pre-Algebra Curriculum, then you are ready to move onto Comparing Integers.

If you are following the Algebra 1 Curriculum, then you are ready to move onto Adding Integers.

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