6th Grade Math HOMEWORK9-1

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ANSWERS

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9-2 Comparing and Ordering Integers

6th Grade Math HOMEWORK

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9-2 Comparing and Ordering Integers

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Warm UpWarm Up

Lesson PresentationLesson Presentation

Problem of the DayProblem of the Day

Warm UpCompare. Write <, >, or =.

1. 8,426 8,246

2. 9,625 6,852

3. 2,071 2,171

4. 2,250 2,250

>

>

<

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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

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9-2 Comparing and Ordering Integers

Today’s Learning Goal Assignment

Learn to compare and order integers.

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9-2 Comparing and Ordering Integers

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9-2 Comparing and Ordering Integers

Numbers on a number line increase in value as you move from left to right.

Remember!

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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 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

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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 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

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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

–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.

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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

–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.

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9-2 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?

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9-2 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.

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9-2 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

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9-2 Comparing and Ordering Integers

Try This: 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?

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9-2 Comparing and Ordering Integers

Try This: 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

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9-2 Comparing and Ordering Integers

Negative integers are always less 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

Try This: Example 3 Continued

Lesson QuizOrder 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

Insert Lesson Title Here

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9-2 Comparing and Ordering Integers

the location at –752 feet