Comparing & Ordering Integers

Comparing & Ordering Integers

Objective • Content Objective: We will compare and order integers. We will communicate mathematical ideas using graphical models. • Why learn this: We use positive and negative numbers to measure temperature, height (as in above and below sea level), money, and more. We use absolute value to determine the distance from a point, without regard to the direction we are moving from that point.

Vocabulary • integers: all positive whole numbers, their opposites, 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

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

Quick Practice In golf, the person with the lowest score is the winner. Rank the players below by ordering their scores from lowest to highest. • B. Hive • P. Tree • L. Emons • J. Umps • T. Ricks

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 <

Comparing & Ordering Integers