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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
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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. • 2 b) 4 c) -3 d) -11 a) -2 b) -4 c) 3 d) 11
Quick Practice Find each absolute value. • 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 c) 17 -18 d) 5 -1 a) -6 < -3 b) -23 < 0 c) 17 > -18 d) 5 > -1 e) l-21l 21 f) -14 l14l c) l-1l -5 e) l-21l = 21 f) -14 < l14l c) l-1l > -5
l-7l 6 >
-5 l-4l <
-15 5 <
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