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Integer Review (Chapter 2 Lessons 1 and 2) Review: Sets of numbers you’ve already studied: Natural numbers (also called the counting numbers) {1, 2, 3, 4, …} II. Whole numbers {0, 1, 2, 3, 4, …} Lesson concept: A.Integer – a positive or negative whole number. (p.56) Integers = {…,-3, -2, -1, 0, 1, 2, 3, …} No fractions or decimals Zero is neither positive or negative Who recalls what the following symbol is called? What does it mean? The symbol stands for “absolute value” and it means “what is the distance a number is from zero on the horizontal number line.” 5 =5 −5 = 5 both answers are 5 because both numbers are 5 units away from zero on the number line What do you think the answer is to the following problem? − 10 = Solve the following: 13 = − 20 = 0 = 12 − 10 = Compare. Use < , > , or =. 4 − 4 −16 − −3 25 −25 19 28 + −6 18 When adding integers, there are two cases to consider: Adding integers with the same sign. Ex 1, 7 + 5 = ________ –3 + (–12) = _______ a) Add the values together b) Carry the sign of the numbers into the answer Adding integers with different signs. Ex 2, 10 + (–4) = ______ 8 + (–12) = ______ a) Subtract the two numbers b) Use the sign of the number with the greater absolute value. Give it a try! 13 + (–16) = ____ 24 + (–4) = ____ Defn. Opposites – two numbers with the same absolute value but different signs. (p. 66) Ex 3, 5 and –5 Defn. Additive inverse – the opposite of a given number (p. 66) Ex 4, The additive inverse of 3 is ___ What is the additive inverse of –8? _____

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