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   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 >. -4 < 1 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 Player Score B. Hive -12 L. Emons -4 T. Ricks +10 J. Umps -3 P. Tree -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 <