Chapter 2-1 Integers and Absolute Values

Here is a number line.

An integer is any number on a number line.

Positive integers are integers greater than 0. They can be written without + sign.

Negative integers are integers less than 0. They are written with a - sign.

Zero is neither negative nor positive.

So, basically, any number I can imagine is an integer? Like 3? -3? 150? -150? 350 million billion gazillion????? If it’s on the number line, it is an integer.

Here are some real-world examples…

Let’s write an integer for each situation. Weather: 5 degrees below Because this weather is below normal, the integer is written as -5.

Let’s write an integer for each situation. Rainfall: 5 inches above normal Because this rainfall is above normal, the integer is written as +5 or just 5.

Let’s write an integer for each situation. Banking: a deposit of $23 Because deposit is adding an amount to your bank account, it is +23 or just 23.

You can also graph integers on a number line.

Graph this set on a number line. (-4, -2, 0, 5).... Just draw a point (or a dot) on the location of the integer. That’s all!

Graph this set on a number line. (-5, -1, 3)... You get the point, right? Pun totally intended.

Hey, have you noticed that -5 and 5 are each 5 units (spaces) from 0?

and 5 are both 5 spaces away from 0. They have the same absolute value.

Absolute value of a number is the distance between the number and 0 on a number line.

And it’s written like this…

units -5 = 5 5 = 5

-5 = 55 = 5 This means that the absolute value of both -5 and 5 are 5 (distance from 0).

= 4 Let’s try this one… 4 units

So…basically…

= 2010 = -256,487 = 256,487 OK…I get it, I get it!

Now, you can even do this…

= = = = = = =5 =2

Good job!