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11-2 Comparing and Ordering Integers
Warm UpWarm Up
Lesson PresentationLesson Presentation
Problem of the DayProblem of the Day
Lesson QuizzesLesson Quizzes
11-2 Comparing and Ordering Integers
Warm UpCompare. Write <, >, or =.
1. 8,426 8,246
2. 9,625 6,852
3. 2,071 2,171
4. 2,250 2,250
>
>
<
=
11-2 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
11-2 Comparing and Ordering Integers
Learn to compare and order integers.
11-2 Comparing and Ordering Integers
Numbers on a number line increase in value as you move from left to right.
Remember!
11-2 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 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
11-2 Comparing and Ordering Integers
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
–5 –4 –3 –2 –1 0 1 2 3 4 5
–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
11-2 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
–3 –2 –1 0 1 2 3
Graph the integers on the same number line.
Then read the numbers from left to right: –2, –1, 3.
–6 –5 –4 –3 –2 –1 0 1 2 3 4 5 6
Graph the integers on the same number line.
Then read the numbers from left to right: –5, –3, 2, 4.
11-2 Comparing and Ordering Integers
Check It Out: Example 2
Order the integers in each set from least to greatest.
A. –2, 2, –3
B. 6, –2, 5, –3
–3 –2 –1 0 1 2 3
Graph the integers on the same number line.
Then read the numbers from left to right: –3, –2, 2.
–6 –5 –4 –3 –2 –1 0 1 2 3 4 5 6
Graph the integers on the same number line.
Then read the numbers from left to right: –3, –2, 5, 6.
11-2 Comparing and Ordering Integers
Additional Example 3: Problem Solving Application
11 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.
In a golf match, Craig scored +2, Cameron scored +3, and Rob scored –1. Who won the golf match?
11-2 Comparing and Ordering Integers
Additional Example 3 Continued
22 Make a Plan
You can draw a diagram to order the scores from least to greatest.
Solve33
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.
11-2 Comparing and Ordering Integers
Additional Example 3 Continued
Negative integers are always less than positive integers, so neither Craig nor Cameron won the golf match.
Look Back44
11-2 Comparing and Ordering Integers
Check It Out: Example 3
11 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.
In a golf match, Melissa scored +6, Trista scored –3, and Alyssa scored –1. Who won the golf match?
11-2 Comparing and Ordering Integers
Check It Out: Example 3 Continued
22 Make a Plan
You can draw a diagram to order the scores from least to greatest.
Solve33
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.
–6 –5 –4 –3 –2 –1 0 1 2 3 4 5 6
11-2 Comparing and Ordering Integers
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 Back44
Check It Out: Example 3 Continued
11-2 Comparing and Ordering Integers
Standard Lesson Quiz
Lesson Quizzes
Lesson Quiz for Student Response Systems
11-2 Comparing and Ordering IntegersLesson 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
11-2 Comparing and Ordering Integers
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
11-2 Comparing and Ordering Integers
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
11-2 Comparing and Ordering Integers
3. Identify the correct sign to compare. –23 __ 20
A. >
B. <
C. =
Lesson Quiz for Student Response Systems
11-2 Comparing and Ordering Integers
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 896 ft
C. submarine at –925 ft
D. submarine at 925 ft
Lesson Quiz for Student Response Systems