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Objective - To recognize and order integers and to evaluate absolute values. Integers - The set of positive whole numbers, negative whole numbers, and zero. {…-3, -2, -1, 0, 1, 2, 3…} -5 -4 -3 -2 -1 0 1 2 3 4 Negative Integers Origin 5 Positive Integers Ordering Integers -5 -4 -3 -2 -1 0 1 2 3 4 Smaller Larger Use < or > to compare. 1) -3 < 4 5) 5 > -19 2) 0 > -1 6) -3 > -8 7) -9 < -2 3) -10 4) 6 < -4 > -8 8) -10 > -30 5 Place the following integers in order from smallest to greatest. 1) -6, -16, -10, 61, -61 -61 , -16, -10, -6 , 61 2) -34, -43, 13, -31, -3 -43 , -34, -31, -3 , 13 3) -5, -9, 9, 15, -59 -59 , -9 , -5 , 9 , 15 Write the following integers in order from greatest to least. 1) -3, 17, 5, -2, 0, 4 17, 5 , 4 , 0 , -2 , -3 2) -8, -7, 15, -15, -1, 3 15 , 3 , -1 , -7 , -8 , -15 3) 40, -4, -400, 4, 14, -41 40, 14, 4, -4 , -41 , -400 Absolute Value Absolute Value - The distance a given number is from zero on the number line. -5 -4 -3 -2 -1 0 1 2 3 4 4 5 3 Simplify. 1) 3 3 3) 11 11 5) 19 19 2) 4 4 4) 8 8 6) 0 0 Integer Opposite Absolute Value 7 7 7 7 16 16 16 16 8 8 8 8 33 33 33 33 0 0 0 0 Use < , >, or = to compare. 6) 4 > 2 2) 9 = 9 7) 6 < 8 3) 6 < 6 8) 3 4) 5 < 2 9) 8 = 8 1) 3 > 3 5) 7 = 7 10) 5 < 2 > 5 Solve. 1) x 5 x 5 or 5 5, 5 2) x 18 x 18 or 18 18, 18 3) x 3 x 3 1 x 3 1 x 3 4) x 7 No Solution empty set null set