Course 1 11-1 Integers in Real-World Situations 11-1 Integers in Real-World Situations Course 1 Warm Up Warm Up Lesson Presentation Lesson Presentation.

Course 1

11-1 Integers in Real-World Situations11-1 Integers in Real-World Situations

Course 1

Warm UpWarm Up

Lesson PresentationLesson Presentation

Problem of the DayProblem of the Day

Course 1

11-1 Integers in Real-World Situations

Vocabulary

positive numbernegative numberoppositesinteger

Course 1

11-1 Integers in Real-World Situations

Positive numbers are greater than 0. They may be written with a positive sign (+), but they are usually written without it.

Negative numbers are less than 0. They are always written with a negative sign (–).

Course 1

11-1 Integers in Real-World Situations

Additional Example 1: Identifying Positive and Negative Numbers in the Real World

Name a positive or negative number to represent each situation.

A. a jet climbing to an altitude of 20,000 feet

B. taking $15 out of the bank

Positive numbers can represent climbing or rising.

+20,000

Negative numbers can represent taking out or withdrawing.

–15

Course 1

11-1 Integers in Real-World Situations

Additional Example 1: Identifying Positive and Negative Numbers in the Real World

Name a positive or negative number to represent each situation.

C. 7 degrees below zero

Negative numbers can represent values below or less than a certain value.

–7

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11-1 Integers in Real-World Situations

Check It Out: Example 1

Name a positive or negative number to represent each situation.

A. 300 feet below sea level

B. a hiker hiking to an altitude of 4,000 feet

Negative numbers can represent values below or less than a certain value.

–300

Positive numbers can represent climbing or rising.

+4,000

Course 1

11-1 Integers in Real-World Situations

Check It Out: Example 1

Name a positive or negative number to represent each situation.

C. spending $34

Negative numbers can represent losses or decreases.

–34

Course 1

11-1 Integers in Real-World Situations

You can graph positive and negative numbers on a number line.On a number line, opposites are the same distance from 0 but on different sides of 0.

Integers are the set of all whole numbers and their opposites.

–5 –4 –3 –2 –1 0 +1 +2 +3 +4 +5

Opposites

Positive IntegersNegative Integers

0 is neither negative nor positive.

Course 1

11-1 Integers in Real-World Situations

The set of whole numbers includes zero and the counting numbers.

{0, 1, 2, 3, 4, …}

Remember!

Course 1

11-1 Integers in Real-World Situations

Additional Example 2: Graphing Integers

Graph each integer and its opposite on a number line.

A. +2

–5 –4 –3 –2 –1 0 +1 +2 +3 +4 +5

B. –5

–2 is the same distance from 0 as +2.

–5 –4 –3 –2 –1 0 +1 +2 +3 +4 +5

+5 is the same distance from 0 as –5.

Course 1

11-1 Integers in Real-World Situations

Additional Example 2: Graphing Integers

Graph each integer and its opposite on a number line.

C. +1

–5 –4 –3 –2 –1 0 +1 +2 +3 +4 +5

–1 is the same distance from 0 as +1.

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11-1 Integers in Real-World Situations

Check It Out: Example 2

Graph each integer and its opposite on a number line.

A. +3

–5 –4 –3 –2 –1 0 +1 +2 +3 +4 +5

B. –4

–3 is the same distance from 0 as +3.

–5 –4 –3 –2 –1 0 +1 +2 +3 +4 +5

+4 is the same distance from 0 as –4.

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11-1 Integers in Real-World Situations

Check It Out: Example 2

Graph each integer and its opposite on a number line.

C. 0

–5 –4 –3 –2 –1 0 +1 +2 +3 +4 +5

Zero is its own opposite.

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11-1 Integers in Real-World Situations

Lesson QuizName a positive or negative number to represent each situation.

1. saving $15

2. 12 feet below sea level

3. What is the opposite of –6?

5. When the Swanton Bulldogs football team

passed the football, they gained 25 yards.

Write an integer to represent this situation.

–12

+15

6

+25

Course 1

11-1 Integers in Real-World Situations

Course 1

11-1 Integers in Real-World Situations

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

Course 1

11-1 Integers in Real-World Situations

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.

Course 1

11-1 Integers in Real-World SituationsLesson 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