9 2 Comparing and Ordering Integers Learn to

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

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

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

9 -2 Comparing and Ordering Integers Check It Out: Example 1 Use the number line to compare each pair of integers. Write < or >. – 5 – 4 – 3 – 2 – 1 A. – 2 0 1 2 3 4 5 1 – 2 < 1 – 2 is to the left of 1 on the number line. B. 2 – 3 2 > – 3 2 is to the right of – 3 on the number line. C. – 3 – 4 – 3 > – 4 – 3 is to the right of – 4 on the number line.

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 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. B. 4, – 3, – 5, 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: – 5, – 3, 2, 4.

9 -2 Comparing and Ordering Integers Check It Out: Example 2 Order the integers in each set from least to greatest. A. – 2, 2, – 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. B. 6, – 2, 5, – 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: – 3, – 2, 5, 6.

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.

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. 3 Solve 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.

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.

9 -2 Comparing and Ordering Integers Check It Out: 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.

9 -2 Comparing and Ordering Integers Check It Out: Example 3 Continued 2 Make a Plan You can draw a diagram to order the scores from least to greatest. 3 Solve 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.

9 -2 Comparing and Ordering Integers Check It Out: 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.