Lets Review Integers(you do not need to write this part down)

Integers - The set of positive whole numbers,negative whole numbers, and zero.

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

PositiveIntegers

Negative Integers

Origin

1.1 Integers and Absolute Value

• Start writing this down

Absolute Value

Absolute Value - The distance a numberis from zero on the number line.

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

34

Evaluate the absolute value.

1)

2)

3)

4)

11

8

19

0

11

8

19

0

So…Absolute value always results to be a positive number.

Compare Using <, > or =

• Examples • Steps:

1. Find the absolute value

2. Then compare1.) 4 7

2.) 5 5

4 < 7

5=5

Order the Values from least to greatest

• example • Steps:

1. Find the absolute value

2. Order

6 , 7,8, 5 , 6

6,-7,8,5,-6

-7, -6, 5, 6, 8,

Simplify when -

Examples: Steps:

1. Find the absolute value

2. Multiply by -1

x

1.) 3

2.) 3

-1 (3)= -3

-1 (3)= -3

1.2 Adding Integers

How do you add integers with the same sign?

1.Find the absolute values

2.Find the sum of the absolute values

3.Apply the sign of the integers to the sum

(Don’t Write) Essential Question

Write this down:

Same sign add and keep!!

Examples:

1.) -22 + (-16)

2.) -60 + (-13)

3.) 125 + 35

Add the integers.

Same sign add and keep!!

-38

-73

160

How do you add integers with different signs?

1.Find the absolute values

2.Subtract the smaller absolute value from the larger.

3.Use the sign of the integer with the greater absolute value.

(Don’t write) Essential Question

Write this down:

Different sign subtract

Keep the sign of the larger number

Examples:

1.) -51 + 20

2.) 13 + (-13)

3.) 10 + (-18)

4.) 25 + (-26)

Add the integers.

-31

0

-8

-1

Use the Commutative and Associative Properties to help find the sum

Adding more than two terms

180 64 20

264

Example:

180 +20 +64 Commutative property

(180 +20) + 64 Associative Property

200 +64

Example

-20 + (-15) + 30 + (-1)

Could you use the commutative property?

What would you add together first?

-20 + (-15) + (-1) +30 commutative

[-20 +(-15) + (-1)] + 30 Associative

-36 +30

-6

Homework

1. ) Page 6 (12-24 even, 30-36 even)

2. ) Page 12 (16-22, 26, 27, 28-38 even)