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Warm Up Name each property 1. 2. 3. 4. 5. 4 + (3 + 6) = (4 + 3) + 6 a(b – c) = ab – ac 8 + -8 = 0 (ab)c = (ac)b 3+2=5 1 6. 3 1 3 Answers 1. Associative property of addition 2. Distributive property 3. Inverse property of addition 4. Commutative property 5. Closure 6. Inverse property of multiplication Lesson 1.3 Operations with Integers SWBAT: Recognize, be able to solve problems involving addition, subtraction, multiplication and division of integers. 1. Adding integers When signs are alike, add the numbers and keep the sign. -7 Ex 1. -3 + -4 = ________ Ex 32 2. 12 + 20 = ________ 1. Adding integers continued ●When signs are opposite, subtract the numbers and use the sign of the bigger number. Ex 3. -10 + 7 = _____ -3 Ex 2 4. -12 + 14 = _____ 2. Subtracting integers •When subtracting integers, change the subtraction sign to an addition sign, and do the opposite to whatever follows. Ex 5. -5 - -3 = _______ -2 Ex -19 6. -9 - 10 = _______ 3. Comparing integers The number to the right on a number line is always larger. (>,<, =) Ex 7. < -2 -7 ___ Ex 8. -5 ___ > -8 4. Multiplying and Dividing Integers. When signs are alike, your answer is positive. 8 Ex 9. (-4)(-2) = ______ Ex 72 10. 9(8) = ______ 4. Multiplying and Dividing Integers continued. When signs are opposite, your answer is negative. -36 11. -9 (4) = ______ Ex. Ex -36 12. 12 (-3) = ______ Your Turn 1. 2. 3. 4. 5. 6. -5 + -2 = 4–5= -3 – -6 = (-3)4 = (-4)(-4) = 7(6)= 1. -7 2. -1 3. 3 4. -12 5. 16 6. 42 Summary: Name the different sets of rules when adding, subtracting, multiplying, and dividing integers. How will you remember them? Homework: Worksheet