Transcript Objective - To recognize and order integers and to evaluate


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
Negative
Integers
Origin
5
Positive
Integers
1.1 Integers and Absolute Value
• Start writing this down
Absolute Value
Absolute Value - The distance a number
is from zero on the number line.
-5 -4 -3 -2 -1 0 1
So…
4
2 3 4 5
3
Absolute value always results to be a positive number.
Evaluate the absolute value.
1) 11  11
3) 19  19
2) 8  8
4) 0  0
Compare Using <, > or =
• Examples
1.) 4
7
4<7
2.) 5
5
5=5
• Steps:
1. Find the absolute
value
2. Then compare
Order the Values from least to
greatest
• example
6 , 7,8, 5 , 6
6,-7,8,5,-6
-7, -6, 5, 6, 8,
• Steps:
1. Find the absolute
value
2. Order
Simplify when - x
Examples:
1.)  3
-1 (3)
= -3
2.)  3
-1 (3)
= -3
Steps:
1. Find the absolute
value
2. Multiply by -1
1.2 Adding Integers
(Don’t Write) Essential Question
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
Write this down:
Same sign add
and keep!!
Examples:
Add the integers.
1.) -22 + (-16)
-38
2.) -60 + (-13)
-73
Same sign add
and keep!!
3.) 125 + 35
160
(Don’t write) Essential Question
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.
Write this down:
Different sign
subtract
Keep the sign of
the larger number
Examples:
Add the integers.
1.) -51 + 20
-31
2.) 13 + (-13)
0
3.) 10 + (-18)
-8
4.) 25 + (-26)
-1
Adding more than two terms
Use the Commutative and
Associative Properties to help
find the sum
Example:
180  64  20 
180 +20 +64 Commutative property
(180 +20) + 64 Associative Property
200 +64
264
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)