11-2 Comparing and Ordering Integers

Warm UpWarm Up

Lesson PresentationLesson PresentationProblem 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

Preview of MA.7.A.3.1 Use and justify the rules for…finding absolute value of integers.

Sunshine State Standards

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 IntegersAdditional 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 IntegersCheck 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 –925 ft

Lesson Quiz for Student Response Systems