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Integers

- are composed of
- opposite of
positive numbers
- Eg. -1 , -2 , -3 , -4 , ...
- value less than 0

- Eg. -1 , -2 , -3 , -4 , ...
- zero
- neither negative nor positive
- considered neutral

- neither negative nor positive
- counting numbers
- any regular number
- Eg. +1 , +2 , +3 , +4 , ...
- value greater than 0

- any regular number

- opposite of
positive numbers
- can be represented using a number line
- Adding integers
- Same signs
- Add the numbers and keep the sign
- (+) + (+) = (+)
- Example : 5 + 3 = 8

- Example : 5 + 3 = 8
- (-) + (-) = (-)
- Example : (-5) + (-3) = (-8)

- Example : (-5) + (-3) = (-8)

- (+) + (+) = (+)

- Add the numbers and keep the sign
- Different signs
- Subtract the two numbers and keep the sign of the bigger number
- Example : (-8) + 2 = -6
- Example : 8 + (-2) = 6

- Example : (-8) + 2 = -6

- Subtract the two numbers and keep the sign of the bigger number

- Same signs
- Subtracting integers
- To subtract integers, LCO the problem
- Leave the first number
- Change the last number to its Opposite
- Change the sign
- Use the addition rules to solve
- (-7) - (-4)
- L C O
- (-7) + (+4)
- = -3

- = -3

- (-7) + (+4)

- L C O
- 7 - (+4)
- L C O
- 7 + (-4)
- = 3

- = 3

- 7 + (-4)

- L C O

- Leave the first number

- To subtract integers, LCO the problem
- Multiplying Integers
- If the signs are the same, you multiply and the product is positive
- (+) x (+) = (+)
- ( - ) x ( - ) = ( + )
- Example : ( -4 ) x ( -2 ) = +8

- (+) x (+) = (+)
- If the signs are different, multiply and the product is negative
- ( + ) x ( - ) = ( - )
- ( - ) x ( + ) = ( - )
- Example : ( - 4 ) x ( 2 ) = ( - 8 )

- ( + ) x ( - ) = ( - )

- If the signs are the same, you multiply and the product is positive
- Dividing Integers
- If the signs are the same, you divide and the quotient is positive
- ( + ) / ( + ) = ( + )
- ( - ) / ( - ) = ( + )
- Example : ( - 8) / ( - 2 ) = ( + 4 )

- ( + ) / ( + ) = ( + )
- If the signs are different, you divide and the quotient is negative
- ( + ) / ( - ) = ( - )
- ( - ) / ( + ) = ( - )
- Example : ( - 8 ) / ( + 2 ) = ( - 4 )

- ( + ) / ( - ) = ( - )

- If the signs are the same, you divide and the quotient is positive

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