Notes
Outline
Interesting Integers!
What You Will Learn
Some definitions related to integers.
Rules for adding and subtracting integers.
A method for proving that a rule is true.
Definition
Positive number – a number greater than zero.
Definition
Negative number – a number less than zero.
Definition
Opposite Numbers – numbers that are the same distance from zero in the opposite direction
Definition
Integers – Integers are all the whole numbers and all of their opposites on the negative number line including zero.
Definition
Absolute Value – The size of a number with or without the negative sign.
Negative Numbers Are Used to Measure Temperature
Negative Numbers Are Used to Measure Under Sea Level
Negative Numbers Are Used to Show Debt
Hint
If you don’t see a negative or positive sign in front of a number it is positive.
Integer Addition Rules
Rule #1 – If the signs are the same, pretend the signs aren’t there.  Add the numbers and then put the sign of the addends in front of your answer.
Solve the Problems
-3 + -5 =
4 + 7 =
(+3) + (+4) =
-6 + -7 =
5 + 9 =
-9 + -9 =
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Integer Addition Rules
Rule #2 – If the signs are different pretend the signs aren’t there. Subtract the smaller from the larger one and put the sign of the one with the larger absolute value in front of your answer.
Solve These Problems
3 + -5 =
-4 + 7 =
(+3) + (-4) =
-6 + 7 =
5 + -9 =
-9 + 9 =
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One Way to Add Integers Is With a Number Line
One Way to Add Integers Is With a Number Line
One Way to Add Integers Is With a Number Line
One Way to Add Integers Is With a Number Line
One Way to Add Integers Is With a Number Line
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Integer Addition Rules
Rule #1 – If the signs are the same, pretend the signs aren’t there.  Add the numbers and then put the sign of the addends in front of your answer.
Integer Addition Rules
Rule #2 – If the signs are different pretend the signs aren’t there. Subtract the smaller from the larger one and put the sign of the one with the larger absolute value in front of your answer.
One Way to Add Integers Is With a Number Line
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