Chapter 2 Lesson 2 Adding Integers pgs. 64-68 What you will learn: *Add two or more integers.

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Presentation transcript:

Chapter 2 Lesson 2 Adding Integers pgs What you will learn: *Add two or more integers

Vocabulary: Opposite (66): two numbers with the same absolute value but different signs Additive Inverse (66): an integer and it’s opposite

KEY CONCEPTS: Adding Integers with the same sign (64): To add integers with the same sign, add their absolute values. Give the result the same sign as the integers (-2) = = 9 Adding Integers with different signs (65): To add integers with different signs, subtract their absolute values. Give the result the same sign as the integer with the greater absolute value 7 + (-2) = = -5 Additive Inverse Property (66): The sum of any number and its additive inverse is zero. x + (-x) = 06 + (-6) = 0

Examples: Add integers on a number line: (-3) = -5 < <----- Start at 0, Move 2 units to the left, from there move 3 units to the left. Find: -4 + (-5) = Remember: To add integers with the same sign, add their absolute values! Give the result the same sign as the integers! -9

Add integers with different signs: (-4) Start at zero. Move 7 units right. From there, move 4 units left > < Find: 2 + (-3) Think! =

Find the sum: = 10 + (-4) = 5 + (-6) = = -8 + (-9) = =

Adding three or more integers: 9 + (-3) + (-9) 9 + (-3) + (-9) = 9 + (-9) + (-3) Commutative Property = 0 + (-3) Additive Inverse Property = -3 Identity Property of Addition (-3) (-3) + 9 = -4 + (-3) Commutative Property = [-4 + (-3)] + (6 + 9) Associative Property = or 8 Simplify You try! 11 + (-22) + (-33) (-7)