# Positive & Negative Integers

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01-Jan-2016Category

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### Transcript of Positive & Negative Integers

Warm UpCornell Notes on 11-1 & 11-2

Warm UpCompare. Write , or =.

1. 8,426 8,2462. 9,625 6,8523. 2,071 2,1714. 2,250 2,250>>

Warm UpAdd or subtract.

1. 16 + 252. 84 123. Graph the even numbers from 1 to 10 on a number line.4172

Problem of the Day

Carlo uses a double-pan balance and three different weights to weigh bird seed. If his weights are 1 lb, 2 lb, and 5 lb, what whole pound amounts is he able to weigh?1, 2, 3, 5, 6, 7, and 8 lb

Learn to identify and graph integers, and find opposites.

Vocabularypositive numbernegative numberoppositesinteger

Where do we see examples of negative numbers?

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

Additional Example 1: Identifying Positive and Negative Numbers in the Real WorldName 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 bankPositive numbers can represent climbing or rising.+20,000Negative numbers can represent taking out or withdrawing.15

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

Check It Out: Example 1Name 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 feetNegative numbers can represent values below or less than a certain value.300Positive numbers can represent climbing or rising.+4,000

Check It Out: Example 1Name a positive or negative number to represent each situation.C. spending $34

Negative numbers can represent losses or decreases.34

Define oppositesDefine integersOn a number line, opposites are the same distance from 0 but on different sides of 0.the set of all whole numbers and their opposites.

You can graph positive and negative numbers on a number line.OppositesPositive IntegersNegative Integers0 is neither negative nor positive.

Additional Example 2: Graphing IntegersGraph each integer and its opposite on a number line.A. +2B. 52 is the same distance from 0 as +2.+5 is the same distance from 0 as 5.

Additional Example 2: Graphing IntegersGraph each integer and its opposite on a number line.C. +11 is the same distance from 0 as +1.

Check It Out: Example 2Graph each integer and its opposite on a number line.A. +3B. 43 is the same distance from 0 as +3.+4 is the same distance from 0 as 4.

We read |3| as the absolute value of 3.

We read |-3| as the absolute value of negative 3.

Define absolute valueThe distance of a number from zero on a number line. The symbol for absolute value is | |.

Example 3Use a number line to find the absolute value of each integerA. |-2|-2 is 2 units from 0, so |-2| is 2

Additional Example 3: Writing Integer Expressions to Represent SituationsMark enters his office building on the ground floor. Using the elevator, he goes up 6 floors to place a call, then down 4 floors for lunch, and then up 8 floors for a meeting. Write an expression to represent this situation.Mark starts on the ground floor, 0.0Mark goes up 6 floors.6Mark goes down 4 floors.-4Mark goes up 8 floors. 8You can use a number line to model Marks movements on the elevator.+ 6 4 + 8

Check It Out: Example 3Maryl enters her office building on the ground floor. Using the elevator, she goes up 5 floors to her desk, then down 4 floors for lunch, and then up 6 floors for the restroom. Write an expression to represent this situation.Maryl starts on the ground floor, 0.0Maryl goes up 5 floors.6Maryl goes down 4 floors.-4Maryl goes up 6 floors. 8You can use a number line to model Maryls movements on the elevator.+ 5 4 + 6

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 42 is to the left of 2 on the number line.2 < 2 3 > 53 is to the right of 5 on the number line.1 is to the right of 4 on the number line.1 > 4

Additional Example 2: Ordering Integers Order the integers in each set from least to greatest.A. 2, 3, 1

B. 4, 3, 5, 2Graph the integers on the same number line.Then read the numbers from left to right: 2, 1, 3.Graph the integers on the same number line.Then read the numbers from left to right: 5, 3, 2, 4.

Lesson QuizName a positive or negative number to represent each situation.1. saving $15 2. 12 feet below sea level3. What is the opposite of 6?4. |4|5. When the Swanton Bulldogs football team passed the football, they gained 25 yards. Write an integer to represent this situation.

12+156+25

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