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Integers & Absolute Value. Integers & Absolute Value. Objective: 7.1.02 Develop fluency in addition, subtraction, multiplication, and division or rational numbers. Essential Question: How do I identify, compare, and order integers?. Vocabulary: Integer Opposites Number Line

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integers absolute value2
Integers & Absolute Value

Objective:

7.1.02 Develop fluency in addition, subtraction, multiplication, and division or rational numbers.

Essential Question:

How do I identify, compare, and order integers?

slide3
Vocabulary:

Integer

Opposites

Number Line

Absolute Value

Rational Number

Integers & Absolute Value

slide4
WHERE DO WE

SEE INTEGERS IN

OUR DAILY LIVES

Integers & Absolute Value

slide5
Integers less than zero Integers greater than zero

are negative integers are positive integers

-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6

negatives are zero is neither positives CAN

written with negative nor be written

a (-) sign positive with a (+) sign

Integers & Absolute Value

slide6
5 positives Integers greater than zero

4 are written are positive integers

3 with + sign

2

1 zero is neither

0 negative nor

-1 positive

-2

-3 negatives

-4 written with Integers less than zero

-5 a - sign are negative integers

Integers & Absolute Value

slide7
Writing Integers in Real-Life Situations

Write an integer to describe each situation

Example 1: an increase of 6 inches

Example 2:scored 10 fewer points

Example 3:a loss of 7 pounds

Example 4:earned 5 dollars interest

Example 5:a temperature of 9 degrees below zero

Integers & Absolute Value

slide8
Writing Integers in Real-Life Situations

Write an integer to describe each situation

Example 1: an increase of 6 inches → + 6

Example 2:scored 10 fewer points → - 10

Example 3:a loss of 7 pounds → - 7

Example 4:earned 5 dollars interest → + 5

Example 5:a temperature of 9 degrees below zero → - 9

Integers & Absolute Value

slide9
Graphing integers on a Number Line

Graph each integer on the number line

Example 1: Graph - 4 on the number line

Example 2:Graph - 8 on the number line

Example 3:Graph + 10 on the number line

Example 4:Graph + 2 on the number line

-10 -8 -6 -4 -2 0 2 4 6 8 10

Integers & Absolute Value

slide10
Graphing integers on a Number Line

Graph each integer on the number line

Example 1: Graph - 4 on the number line

Example 2:Graph - 8 on the number line

Example 3:Graph + 10 on the number line

Example 4:Graph + 2 on the number line

-10 -8 -6 -4 -2 0 2 4 6 8 10

Integers & Absolute Value

slide11
What is absolute value?

The distance of some number from zero on the number line

What does absolute value look like?

the absolute

value of 7 | 7| = 7

the absolute

value of – 7 | –7| = 7

Integers & Absolute Value

slide12
What is absolute value?

The distance of some number from zero on the number line

What does absolute value look like?

7 units 7 units

-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8

Integers & Absolute Value

slide13
Absolute Value

Evaluate the expression.

Example 1:| 3|

Example 2:| - 68|

Example 3:| 6| + | - 9|

Example 4:| - 8|-| - 9|

Integers & Absolute Value

slide14
Absolute Value

Evaluate the expression.

Example 1:| 3|= 3

Example 2:| - 68| = 68

Example 3:| 6| + | - 9|= 15

Example 4:| - 8|-| - 9|= –1

Integers & Absolute Value

slide15
Extension

The number shows the

amounts of money Erica,

Jerry, Bob, and Ray

have in their wallets or

owe one of their parents.

Who has the most money?

Who has the least money?

Who owes four dollars?

Integers & Absolute Value

10

Ray

8

6

4

Erica

2

0

- 2

Jerry

- 4

- 6

- 8

Bob

-10

slide16
Integers & Absolute Value

Extension

The number shows the

amounts of money Erica,

Jerry, Bob, and Ray

have in their wallets or

owe one of their parents.

Who has the most money? Ray

Who has the least money? Rob

Who owes four dollars? Jerry

10

Ray

8

6

4

Erica

2

0

- 2

Jerry

- 4

- 6

- 8

Bob

-10

slide17
Comparing Integers

Replace the □ with <, >, or = to make the sentence true.

Example 1:- 9 □ 8

Example 2:83 □ 84

Example 3:5□ - 5

Example 4:- 6 □ - 4

Example 5:- 7 □ - 7

Integers & Absolute Value

slide18
Comparing Integers

Replace the □ with <, >, or = to make the sentence true.

Example 1:- 9 □ 8 → - 9 < 8

Example 2:83 □ 84 → 83 < 84

Example 3:5□ - 5 → 5 > - 5

Example 4:- 6 □ - 4 → - 6 < - 4

Example 5:- 7 □ - 7 → - 7 = - 7

Integers & Absolute Value

slide19
Ordering Integers

Order each set of integers from least to greatest.

Example 1:- 162, - 10, - 81, 59

Example 2:9, - 8, 4, - 9

Example 3:2, 6, - 2, 0

Example 4:7, 5, - 1, - 5

Integers & Absolute Value

slide20
Ordering Integers

Order each set of integers from least to greatest.

Example 1:- 162, - 10, - 81, 59 →

- 162, - 81, - 10, 59

Example 2:9, - 8, 4, - 9 → - 9, - 8, 4, 9

Example 3:2, 6, - 2, 0 → - 2, 0, 2, 6

Example 4:7, 5, - 1, - 5 → - 5, - 1, 5, 7

Integers & Absolute Value

slide21
Extension

Evaluate 6 + |n | if b = - 16.

Integers & Absolute Value

slide22
Extension

Evaluate 6 + |n | if b = - 16.

6 + |n | = 6 + |- 16|

= 6 + 16

= 22

Integers & Absolute Value

slide23
Homework

Core 01 and 03 – p.36 #1 – 48, all

Core 02 – p.59-60 #20 – 50, all

Integers & Absolute Value

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