11-2

1. 11-2 Comparing and Ordering Integers Course 1 Warm Up Problem of the Day Lesson Presentation

2. Warm Up Compare. Write <, >, or =. 1.8,426 8,246 2. 9,625 6,852 3. 2,071 2,171 4. 2,250 2,250 > > < =

3. Problem of the Day Four friends are waiting in line at the amusement park. Jenna is in front of Kyle. Kyle is behind Gary and in front of Maggie. Gary is first. In what order are they waiting? Gary, Jenna, Kyle, Maggie

4. Learn to compare and order integers.

5. Remember! Numbers on a number line increase in value as you move from left to right.

6. –5 –4 –3 –2 –1 0 1 2 3 4 5 Additional Example 1: Comparing IntegersUse the number line to compare each pair of integers. Write < or >. A. –2 2 B. 3 –5 C. –1 –4 –2 < 2 –2 is to the left of 2 on the number line. 3 > –5 3 is to the right of –5 on the number line. –1 > –4 –1 is to the right of –4 on the number line.

7. –5 –4 –3 –2 –1 0 1 2 3 4 5 Check It Out: Example 1 Use the number line to compare each pair of integers. Write < or >. A. –2 1 B. 2 –3 C. –3 –4 –2 < 1 –2 is to the left of 1 on the number line. 2 > –3 2 is to the right of –3 on the number line. –3 > –4 –3 is to the right of –4 on the number line.

8. –6 –5 –4 –3 –2 –1 0 1 2 3 4 5 6 –3 –2 –1 0 1 2 3 Additional Example 2: Ordering Integers Order the integers in each set from least to greatest. A. –2, 3, –1 B. 4, –3, –5, 2 Graph the integers on the same number line. Then read the numbers from left to right: –2, –1, 3. Graph the integers on the same number line. Then read the numbers from left to right: –5, –3, 2, 4.

9. –6 –5 –4 –3 –2 –1 0 1 2 3 4 5 6 –3 –2 –1 0 1 2 3 Check It Out: Example 2 Order the integers in each set from least to greatest. A. –2, 2, –3 B. 6, –2, 5, –3 Graph the integers on the same number line. Then read the numbers from left to right: –3, –2, 2. Graph the integers on the same number line. Then read the numbers from left to right: –3, –2, 5, 6.

10. 1 Understand the Problem Additional Example 3: Problem Solving Application In a golf match, Craig scored +2, Cameron scored +3, and Rob scored –1. Who won the golf match? • The answer will be the player with the lowest score. List the important information: • Craig scored +2. • Cameron scored +3. • Rob scored –1.

11. 3 Solve Make a Plan –3 –2 –1 0 1 2 3 2 Additional Example 3 Continued You can draw a diagram to order the scores from least to greatest. Draw a number line and graph each player’s score on it. • • • Rob’s score, –1, is farthest to the left, so it is the lowest score. Rob won the golf match.

12. 4 Additional Example 3 Continued Look Back Negative integers are always less than positive integers, so neither Craig nor Cameron won the golf match.

13. 1 Understand the Problem Check It Out: Example 3 In a golf match, Melissa scored +6, Trista scored –3, and Alyssa scored –1. Who won the golf match? • The answer will be the player with the lowest score. List the important information: • Melissa scored +6. • Trista scored –3. • Alyssa scored –1.

14. 3 Solve Make a Plan –6 –5 –4 –3 –2 –1 0 1 2 3 4 5 6 2 Check It Out: Example 3 Continued You can draw a diagram to order the scores from least to greatest. Draw a number line and graph each player’s score on it. • • • Trista’s score, –3, is farthest to the left, so it is the lowest score. Trista won the golf match.

15. 4 Check It Out: Example 3 Continued Look Back Negative integers are always less than positive integers, so Melissa cannot be the winner. Since Trista’s score of -3 is less than Alyssa’s score of -1, Trista won.

16. Lesson Quiz Order the integers in each set from least to greatest. 1. –3, 7, 4 2. –11, 2, 5, –15 Compare. Write <, >, or =. 3. –3 -4 4. –12 –10 5. A location in Carlsbad Caverns is 752 ft below sea level, and another location is 910 ft below sea level. Which location is closer to sea level? –3, 4, 7 –15, –11, 2, 5 > < the location at –752 feet