**Integers**

**Sophie, Kate, Arielle, Josie**

Arithmetic w/ Integers

This section will cover the basics of adding, subtracting, multiplying, and dividing

**Inequalities**

&

Absolute Value

&

Absolute Value

**Integers are whole numbers; no decimals or fractions allowed! Integers can be both negative as well as positive. You would be very lost in the modern world with out integers.**

"Integers are simply used to count!" -Nucci.

"Integers are simply used to count!" -Nucci.

What does inequality mean?

Inequality is the process of comparing two integers

How do I compare integers?

You use inequality symbols

What are inequality symbols?

How to use inequality symbols

Example: 3<7

7 is the greater number, so the opening of the

inequality symbol, or "gator mouth" is eating the 7.

Example: 3>2

3 is the greater number, so "gator mouth" is eating

the 3.

Part 1

How to use inequality symbols

Part 2

Example:3=3

This shows that two numbers are equal

Example: 3

x

This shows that x can either be either less than

or equal to 3. The bottom line is half of an

equal sign, signifying that x could be equal to 3

Example 3

x

This shows that x can either be either less than

or equal to 3.

What is Absolute Value?

The absolute value of a number is its distance from

the origin (0) on a number line. Absolute value of a

number (for example a) is written as [a].

Inequality symbols are used to compare numbers (integers)

according to their order on the number line. A number

can be, greater than, greater than or equal to, less than,

less than or equal to, or equal to another number.

(this is shown by <, ,>, ,=

The distance from the origin to 9 is 9, so [9]=9

Question: How do I know the sign

of the answer when I am multiplying?

Basic Problem: 3*5=? since 3*5 means

you repeatedly add 5, 3 times, you will

only end up with a greater positive

value.

So: 5+5+5=15 = 3*5=15

Adding and Subtracting Negative Numbers

Example: 3+-6=-3 or

3-6=-3

On Tuesday you find $3 and on

Wednesday you lose $6. Over the whole

week you initially lost $3, or -$3

Graphing Inequalities on a Number Line

To graph an inequality one first has to recognize if the equation has either a < or >, or . If the inequality has a < or > (lets just say x<3) draw an open circle over the 3 on the number line, and spout an arrow from it going to the left signifying that the x is smaller and therefore can be any of the smaller numbers after 3. If the inequality has a or (x 3) draw a closed circle over the 3 and spout an arrow going to the right showing that x is either greater than or equal to 3.

Another way to do this

problem is to do it on

a number line:

3-6=-3

Division and multiplication share the same sign rules.

- * - = + + * + = +

- * + = _ + * - = -

Just divide your problem and determine the sign based on the

multiplication rules!