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Positive & Negative Integers. Course 1. Warm Up. Cornell Notes on 11-1 & 11-2. Warm Up Compare. Write , or =. 1. 8,426 8,246 2. 9,625 6,852 3. 2,071 2,171 4. 2,250 2,250. >. >.

### 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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