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September 16 1. -5 + 9 = 2. 7 + 8 = 3. -10 + -4 = 4. 4 + -6 = 5. 324 + - 188

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Correct Homework page 12 8.10 50. 31 9.-1051. 8 10. -552. 114 11. 753. 184 12. -254. D 13. 0 14. -2 15. 10

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Lesson 1.2 Day 2

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Key Idea page 10 Adding Integers with the same sign Words: Add the absolute vales of the integers. Then use the common sign. 3 + 2 = -3 + -2 =

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SAME SIGNS ADD (Take the same sign)

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Key Idea Adding Integers with Different Signs Words: Subtract the lesser absolute value from the greater absolute value. Then use the sign of the integer with the greater absolute value. 8 + (-10) =

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DIFFERENT SIGNS SUBTRACT (Take the sign of the largest number)

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Adding Integer Rule: (write in notebook) SAME SIGNS ADD (Take the common sign) DIFFERENT SIGNS SUBTRACT (Take the sign of the largest number)

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Simplify each expression. a. 12 + (–23) = –11 b. –6.4 + (–8.6) = –15.0 The difference of the absolute values is 11. The negative addend has the greater absolute value, so the sum is negative. Since both addends are negative, add their absolute values. The sum is negative. Adding Real Numbers LESSON 1-4 Additional Examples Quick Check

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Vocab (write) Opposite – 2 numbers that are the same distance from 0, but on opposite of 0. For example: -3 and 3 are opposite Additive Inverse Property Sum of a number and it’s opposite -4 + 4 = 0 25 + -25 = 0

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Commutative Property of Addition – you can add numbers in a sum in any order. a + b + c = c + a + b 1 + 3 + 9 = 9 + 1 + 3 Commutative Property of Multiplication – you can multiply numbers in a product in any order. abc = bac Commutative Property

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Associative property of Addition – Changing the grouping of numbers will not change their sum. (a + b) + c = a + (b + c) (2 + 3) + 4 = 2 + (3 + 4) Associative property of Multiplication – Changing the grouping of factors will not change their product. (ab)c = a(bc) (a ∙ b)c = a(b ∙ c) Associative Properties

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Practice same or different 1.9 + -3 = 2.10 + -8 = 3.-3 + -8 = 4.5 + -2 + = 5. -10 + -3 = 6.19 + -18 = 7. -12 + -6 = 8.8 + -3 =

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Homework Page 12 1-7, 16 – 23, 28 - 30

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