1-5 Adding Integers There are three parts to today's lesson: Adding positive integers Adding negative integers Adding a positive integer and a negative.

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Presentation transcript:

1-5 Adding Integers There are three parts to today's lesson: Adding positive integers Adding negative integers Adding a positive integer and a negative integer - Using the number line - Using tiles - Using the rules Review: Integers: Positive, negative whole numbers and zero (no decimals or fractions) New Material:

I. Adding Positive Integers (Regular Addition) 1.) = 2.) = 3.) = II. Adding Negative Integers (Regular Addition) 1.) (-5) = 2.) (-5) = 3.) -1 + (-2) + (-3) =

III. Adding A Positive and A Negative Integer - A.) Using the number line ) = 2.) (-8) + 6= 3.) = *4.) 5 + (-6) =

B.) Using Tiles means + 1 means -1 You can use tiles to add integers. The zero principle states that when you add two opposites, their sum is equal to zero. (+1) + (-1) = 0 III. Adding A Positive and A Negative Integer

5 + (-4) = (-6) + 2 = Solve each problem using the tiles. Draw the tiles to help solve the problems.

Rule: III. Adding One Positive and One Negative Integer C.) Using the Rule 1.) (-8) ) 3 + (-19)3.) 12 + (-4) Subtract the absolute values the answer has the sign of the number with the larger absolute value

Practice: 1.) 16 + (-9) 2.) ) 5 + (-5)4.) -2+ (-18) 5.) (-9)6.) ) ) ) )

Other Examples: W hen adding many integers, try adding all the positive or negative integers first. Then add the two numbers. 1.) (-3) 2.) 13 + (-6) + (-12) 3.) -4 + (-9) + (-5) ) ) -2 + (-13) + (-5) 6.) (-119) + (-8)