lets review integers (you do not need to write this part down)
TRANSCRIPT
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Lets Review Integers(you do not need to write this part down)
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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
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1.1 Integers and Absolute Value
• Start writing this down
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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.
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Compare Using <, > or =
• Examples • Steps:
1. Find the absolute value
2. Then compare1.) 4 7
2.) 5 5
4 < 7
5=5
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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,
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Simplify when -
Examples: Steps:
1. Find the absolute value
2. Multiply by -1
x
1.) 3
2.) 3
-1 (3)= -3
-1 (3)= -3
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1.2 Adding Integers
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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
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Write this down:
Same sign add and keep!!
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Examples:
1.) -22 + (-16)
2.) -60 + (-13)
3.) 125 + 35
Add the integers.
Same sign add and keep!!
-38
-73
160
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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
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Write this down:
Different sign subtract
Keep the sign of the larger number
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Examples:
1.) -51 + 20
2.) 13 + (-13)
3.) 10 + (-18)
4.) 25 + (-26)
Add the integers.
-31
0
-8
-1
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Use the Commutative and Associative Properties to help find the sum
Adding more than two terms
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180 64 20
264
Example:
180 +20 +64 Commutative property
(180 +20) + 64 Associative Property
200 +64
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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
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Homework
1. ) Page 6 (12-24 even, 30-36 even)
2. ) Page 12 (16-22, 26, 27, 28-38 even)