Comparing and Ordering Integers

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Presentation transcript:

Comparing and Ordering Integers 9-2 Comparing and Ordering Integers Course 1 Warm Up Problem of the Day Lesson Presentation

Comparing and Ordering Integers Course 1 9-2 Comparing and Ordering Integers 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 > > < =

Comparing and Ordering Integers Course 1 9-2 Comparing and Ordering Integers 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

Comparing and Ordering Integers Course 1 9-2 Comparing and Ordering Integers Learn to compare and order integers.

Comparing and Ordering Integers Course 1 9-2 Comparing and Ordering Integers Numbers on a number line increase in value as you move from left to right. Remember!

Comparing and Ordering Integers Course 1 9-2 Comparing and Ordering Integers 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 –5 –4 –3 –2 –1 0 1 2 3 4 5 –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.

Comparing and Ordering Integers Course 1 9-2 Comparing and Ordering Integers Try This: Example 1 Use the number line to compare each pair of integers. Write < or >. A. –2 1 B. 2 –3 C. –3 –4 –5 –4 –3 –2 –1 0 1 2 3 4 5 –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.

Additional Example 2: Ordering Integers Course 1 9-2 Comparing and Ordering Integers 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. –3 –2 –1 0 1 2 3 Then read the numbers from left to right: –2, –1, 3. Graph the integers on the same number line. –6 –5 –4 –3 –2 –1 0 1 2 3 4 5 6 Then read the numbers from left to right: –5, –3, 2, 4.

Comparing and Ordering Integers Course 1 9-2 Comparing and Ordering Integers Try This: 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. –3 –2 –1 0 1 2 3 Then read the numbers from left to right: –3, –2, 2. Graph the integers on the same number line. –6 –5 –4 –3 –2 –1 0 1 2 3 4 5 6 Then read the numbers from left to right: –3, –2, 5, 6.

Understand the Problem Course 1 9-2 Comparing and Ordering Integers 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? 1 Understand the Problem The answer will be the player with the lowest score. List the important information: Craig scored +2. Cameron scored +3. Rob scored –1.

Additional Example 3 Continued Course 1 9-2 Comparing and Ordering Integers Additional Example 3 Continued 2 Make a Plan You can draw a diagram to order the scores from least to greatest. Solve 3 Draw a number line and graph each player’s score on it. • • • –3 –2 –1 0 1 2 3 Rob’s score, –1, is farthest to the left, so it is the lowest score. Rob won the golf match.

Additional Example 3 Continued Course 1 9-2 Comparing and Ordering Integers Additional Example 3 Continued 4 Look Back Negative integers are always less than positive integers, so neither Craig nor Cameron won the golf match.

Understand the Problem Course 1 9-2 Comparing and Ordering Integers Try This: Example 3 In a golf match, Melissa scored +6, Trista scored –3, and Alyssa scored –1. Who won the golf match? 1 Understand the Problem The answer will be the player with the lowest score. List the important information: Melissa scored +6. Trista scored –3. Alyssa scored –1.

Try This: Example 3 Continued Course 1 9-2 Comparing and Ordering Integers Try This: Example 3 Continued 2 Make a Plan You can draw a diagram to order the scores from least to greatest. Solve 3 Draw a number line and graph each player’s score on it. • • • –6 –5 –4 –3 –2 –1 0 1 2 3 4 5 6 Trista’s score, –3, is farthest to the left, so it is the lowest score. Trista won the golf match.

Try This: Example 3 Continued Course 1 9-2 Comparing and Ordering Integers Try This: Example 3 Continued 4 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.

Comparing and Ordering Integers Insert Lesson Title Here Course 1 9-2 Comparing and Ordering Integers Insert Lesson Title Here 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