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. Preview of MA.7.A.3.1 Use and justify the rules for…finding absolute value of integers. Sunshine State Standards
5. Numbers on a number line increase in value as you move from left to right. Remember!
6. Additional Example 1: Comparing Integers Use the number line to compare each pair of integers. Write < or >. A. –2 2 B. 3 –5 C. –1 –4 – 2 is to the left of 2 on the number line. – 2 < 2 3 > –5 3 is to the right of –5 on the number line. – 1 is to the right of –4 on the number line. – 1 > –4 – 5 –4 –3 –2 –1 0 1 2 3 4 5
7. 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 is to the left of 1 on the number line. – 2 < 1 2 > –3 2 is to the right of –3 on the number line. – 3 is to the right of –4 on the number line. – 3 > –4 – 5 –4 –3 –2 –1 0 1 2 3 4 5
8. 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. – 3 –2 –1 0 1 2 3 – 6 –5 –4 –3 –2 –1 0 1 2 3 4 5 6
9. 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. – 3 –2 –1 0 1 2 3 – 6 –5 –4 –3 –2 –1 0 1 2 3 4 5 6
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11. 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. 2 Make a Plan Solve 3 – 3 –2 –1 0 1 2 3
12. Additional Example 3 Continued Negative integers are always less than positive integers, so neither Craig nor Cameron won the golf match. Look Back 4
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14. 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. 2 Make a Plan Solve 3 – 6 –5 –4 –3 –2 –1 0 1 2 3 4 5 6
15. 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. Look Back Check It Out: Example 3 Continued 4
17. 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? – 15, –11, 2, 5 – 3, 4, 7 > < the location at –752 feet
18. 1. Which of the following represents the integers in the given set ordered from least to greatest? – 5, 9, 2 A. 2, 9, –5 B. 9, 2, –5 C. 2, –5, 9 D. –5, 2, 9 Lesson Quiz for Student Response Systems
19. 2. Which of the following represents the integers in the given set ordered from least to greatest? – 17, 10, 8, –19 A. –17, –19, 8, 10 B. –19, –17, 8, 10 C. 10, 8, –17, –19 D. 8, 10, –17, –19 Lesson Quiz for Student Response Systems
20. 3. Identify the correct sign to compare. – 23 _ 20 A. > B. < C. = Lesson Quiz for Student Response Systems
21. 4. A submarine is 896 ft below sea level, and another submarine is 925 ft below sea level. Which submarine is closer to the surface of the sea? A. submarine at –896 ft B. submarine at –925 ft Lesson Quiz for Student Response Systems
