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Negative Integers Objectives: 1.Introduce the terms negative integer and opposite of integers. 2. To find real world situations that deal with negative

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Page 1: Negative Integers Objectives: 1.Introduce the terms negative integer and opposite of integers. 2. To find real world situations that deal with negative
Page 2: Negative Integers Objectives: 1.Introduce the terms negative integer and opposite of integers. 2. To find real world situations that deal with negative

Negative Integers

Page 3: Negative Integers Objectives: 1.Introduce the terms negative integer and opposite of integers. 2. To find real world situations that deal with negative

Objectives:

1.Introduce the terms negative integer and opposite of integers.

2. To find real world situationsthat deal with negative integers.

Page 4: Negative Integers Objectives: 1.Introduce the terms negative integer and opposite of integers. 2. To find real world situations that deal with negative

Real Numbers

Rational Numbers

Integers

Whole Numbers

Irrational Numbers

Natural Numbers

Page 5: Negative Integers Objectives: 1.Introduce the terms negative integer and opposite of integers. 2. To find real world situations that deal with negative

Real Numbers

Imaginary Numbers

Irrational Numbers

Rational Numbers

Integers

Whole Numbers

Natural Numbers

Non-integers

Number System Tree

Diagram

Page 6: Negative Integers Objectives: 1.Introduce the terms negative integer and opposite of integers. 2. To find real world situations that deal with negative

The highest elevation in North America is Mt. McKinley, which is 20,320 feet above sea level. The lowest elevation is Death Valley, which is 282 feet below sea level. What is the vertical distance from the top of Mt. McKinley to the bottom of Death Valley?

Page 7: Negative Integers Objectives: 1.Introduce the terms negative integer and opposite of integers. 2. To find real world situations that deal with negative

We will use a number line to represent the situation of the previous problem.

0

Page 8: Negative Integers Objectives: 1.Introduce the terms negative integer and opposite of integers. 2. To find real world situations that deal with negative

However we are going to use a vertical number line to represent the situation.

00

Page 9: Negative Integers Objectives: 1.Introduce the terms negative integer and opposite of integers. 2. To find real world situations that deal with negative

However we are going to use a vertical number line to represent the situation.

0sea level

20,320

-282

Not Drawn to Scale!

Page 10: Negative Integers Objectives: 1.Introduce the terms negative integer and opposite of integers. 2. To find real world situations that deal with negative

However we are going to use a vertical number line to represent the situation.

0sea level

20,320

-282

20,320 feet

282 feet

Since 20,320 + 282 = 20,402. The vertical distance between Mt. McKinley and Death Valley is 20,402 feet.

Page 11: Negative Integers Objectives: 1.Introduce the terms negative integer and opposite of integers. 2. To find real world situations that deal with negative

Ed and Lewis both live in the same city on 3rd Avenue. However, they live on the opposite side of Main Street from each other. In fact Ed and Lewis live the same distance from Main Street at each other. Lewis lives on 3rd Ave. and East 7th Street. What street does Ed live on and how far away do Ed and Lewis live from each other?

Page 12: Negative Integers Objectives: 1.Introduce the terms negative integer and opposite of integers. 2. To find real world situations that deal with negative

3rd Ave.

Main Street East 7th StreetWest 7th Street

0 7-7

Ed lives on West 7th Street and Ed and Lewis live 14 blocks away from each other.