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Comparing & Ordering Integers Vocabulary • integers: all positive and negative whole numbers and zero. • opposites: two numbers that are the same distance from zero on the number line, but in opposite directions. Ex. 2, -2 • absolute value: a number’s distance from zero on the number line (always a positive value). Finding Absolute Value Find the l3l and l-3l. l3l and l-3l = 3 Quick Practice Write the opposite of each number. a) 2 b) 4 c) -3 d) -11 a) -2 b) -4 c) 3 d) 11 Quick Practice Find each absolute value. a) l-21l b)l14l c) l-1l d)l21l a) 21 b)14 c) 1 d)21 Comparing Integers Compare -4 and 1 using <, =, or >. Remember, numbers increase going from left to right. -4 < 1 Quick Practice Which number in the pair is farther away from zero. a) 4, -5 b) 2, 5 c) -1, -3 d) -12, 11 a) -5 b) 5 c) -3 d) -12 Quick Check Compare using <, =, or >. a) -6 -3 b) -23 0 a) -6 < -3 b) -23 < 0 e) l-21l 21 e) l-21l = 21 c) 17 -18 c) 17 > -18 f) -14 l14l f) -14 < l14l d) 5 -1 d) 5 > -1 c) l-1l -5 c) l-1l > -5 l-4l > l-3l l12l = l-12l l-20l > l10l l-14l < l-15l l-7l > 6 -5 < l-4l -15 < 5 l-13l > l12l 19 = l-19l l-27l < 28 Ordering Integers Order the numbers -8, 7, -4, and 3 from least to greatest. Use a number line to plot the points. Then put them in order from least to greatest. Remember, numbers increase going from left to right. -8, -4, 3, and 7