## Absolute Value

"6" is 6 away from zero, and "-6" is

and the absolute value of -6 is also

Absolute value of -3 is 3

Absolute value of 227 is 227

No Negatives! So in practice "absolute value" means to remove any negative sign in front of a number, and to think of all numbers as positive (or zero).

Absolute Value Symbol To show that you want the absolute value of something, you put "|" marks either side (they are called "bars" and are found on the right side of your keyboard), like these examples:

|-5| = 5

|7| = 7

**also**6 away from zero. So the absolute value of 6 is**6**,and the absolute value of -6 is also

**6.**

**More Examples:**

Absolute value of -9 is 9Absolute value of -3 is 3

Absolute value of 227 is 227

No Negatives! So in practice "absolute value" means to remove any negative sign in front of a number, and to think of all numbers as positive (or zero).

Absolute Value Symbol To show that you want the absolute value of something, you put "|" marks either side (they are called "bars" and are found on the right side of your keyboard), like these examples:

|-5| = 5

|7| = 7

## Adding Integers

No Sign Means Positive If a number has

Example:

Adding Positive Numbers Adding positive numbers is just simple addtion.

Example: 2 + 3 = 5 is really saying

"Positive 2 plus Positive 3 = Positive 5"

You could write it as

Subtracting Positive Numbers Subtracting positive numbers is just simple subtraction.

Example: 6 - 3 = 3 is really saying

"Positive 6 minus Positive 3 equals Positive 3"

**no sign**It usually means that it is a**positive**number.Example:

**5**is really**+5**Adding Positive Numbers Adding positive numbers is just simple addtion.

Example: 2 + 3 = 5 is really saying

"Positive 2 plus Positive 3 = Positive 5"

You could write it as

**(+2) + (+3) = (+5)**Subtracting Positive Numbers Subtracting positive numbers is just simple subtraction.

Example: 6 - 3 = 3 is really saying

"Positive 6 minus Positive 3 equals Positive 3"

Adding Integer Rules

Rule #1:

When adding signs that are the same, ADD and keep the sign

Rule #2:

When adding signs that are DIFFERENT, SUBTRACT the numbers and keep the sign of the number with the LARGER ABSOLUTE VALUE

Different Signs --> Difference

When adding signs that are the same, ADD and keep the sign

Rule #2:

When adding signs that are DIFFERENT, SUBTRACT the numbers and keep the sign of the number with the LARGER ABSOLUTE VALUE

__Helpful Reminder:__

Same Signs --> SumDifferent Signs --> Difference

Subtracting Integer Rules

Rule #1

Change the minus sign to an addition sign. Change the integer to the right of the sign to its opposite. Then follow the addition rule.

Keep - Change - Change!

Example:

6 - (-3) changes to 6 + (3) = 9

-6-(-3) changes to -6 + (3) = -3

Change the minus sign to an addition sign. Change the integer to the right of the sign to its opposite. Then follow the addition rule.

Keep - Change - Change!

Example:

6 - (-3) changes to 6 + (3) = 9

-6-(-3) changes to -6 + (3) = -3

Multiplying Integers

Multiplication of Integers is similar to multiplication of whole numbers (both positive) except the sign of the product needs to be determined.

If both factors are positive, the product will be positive.

If both factors are negative, the product will be positive.

If only one of the factors is negative, the product will be negative.

In other words, if the signs are the same the product will be positive, if they are different, the product will be negative.

If both factors are positive, the product will be positive.

If both factors are negative, the product will be positive.

If only one of the factors is negative, the product will be negative.

In other words, if the signs are the same the product will be positive, if they are different, the product will be negative.

## Dividing Integers

A positive divided by a positive equals a positive

A positive divided by a negative equals a negative

A negative divided by a negative equals a positive

A negative divided by a positive equals a negative

Same signs = positive

Different signs = negative

A positive divided by a negative equals a negative

A negative divided by a negative equals a positive

A negative divided by a positive equals a negative

Same signs = positive

Different signs = negative