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Integers and Absolute Value Section 2-1 Intro to Integers • An integer is the set of whole numbers and their opposites, including zero, represented by {… -3, - 2, - 1, 0, 1, 2, 3,…} • A positive integer is a whole number greater than zero. • A negative integer is w whole number less than zero. • Website for Integer Rules Things to remember • Graph – means to draw a point on the number line to represent the integer. • Zero is neither positive nor negative. • Absolute value refers to the distance away from zero an integer is. (ALWAYS positive!) How do I know if it is positive or negative? • Reference to zero. • Ask yourself, “Is it good, did it help?” • Look for key words: –Negative: below, loss, withdraw, less than, etc… –Positive: above, profit, deposit, more than, etc… Absolute Value • Key points for absolute value: –Always positive because it refers to distance from zero, not position on the number line. –Treat them like ( ). Solve the inside, then take the absolute value. –Simply remove the sign, keep the number! Practice! 19 10 14 9 15 13 8 Comparing and Ordering Integers Section 2-2 How to read the signs • < (less than) • > (greater than) • Example 1: 4<8 4 is less than 8 • Example 2: – 5 > – 16 negative 5 is greater than negative 16 Ordering Integers • WARNING! graph or picture where the negative numbers fall on a number line. • *It may be easier to think, “is this negative number MORE negative that one?” True or False! Why? 19 19 9 15 15 8 7 Homework • Worksheet –Practice 2-2, All –Skills Practice, Even