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Integers and Absolute Value
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Vocabulary Number line: a line on which numbers are marked on
Absolute value: number distance between the number and zero on a number line It is always positive
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-5 -4 -3 -2 -1 +1 +2 +3 +4 +5 Positive integers are integers greater than 0. They can be written without + sign.
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Negative integers are integers less than 0. They are written with a
-5 -4 -3 -2 -1 +1 +2 +3 +4 +5 Negative integers are integers less than 0. They are written with a - sign.
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Zero is neither negative nor positive.
-5 -4 -3 -2 -1 +1 +2 +3 +4 +5 Zero is neither negative nor positive.
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If it’s on the number line, it is an integer.
So, basically, any number I can imagine is an integer? Like 3? -3? 150? -150? 350 million billion gazillion????? If it’s on the number line, it is an integer.
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Write an integer for each situation.
Weather: 5 degrees below normal Since the weather is below normal, the integer is written as -5.
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Let’s write an integer for each situation.
Rainfall: 5 inches above normal Since the rainfall is above normal, the integer is written as +5 or 5.
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Let’s write an integer for each situation.
Banking: a deposit of $23 Since the deposit is _______ an amount to your bank account, it is ____ or ____.
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Graph this set on a number line. (-4, -2, 0, 5)
-5 -4 -3 -2 -1 +1 +2 +3 +4 +5
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Graph Integers Graph the integers: -3,1,4
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Remember its always positive!
Absolute value: number distance between the number and zero on a number line Remember its always positive! This means that the absolute value of both -5 and 5 are 5 (distance from 0).
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Let’s try this one… -4 = 4 4 units +1 +2 +3 +4 +5 -5 -4 -3 -2 -1
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Evaluate then graph 1. |-4| =_______ 2. |-6|=_______ 3. |-10|=______
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Evaluate and solve 5+ |-14|= |-16| +2= 7+ |-12|= 1. Absolute value
2.Rewrite it 3. Solve 5+ |-14|= |-16| +2= 7+ |-12|=
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Coordinate Plane
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Words to Know Coordinate plane: formed when two number lines intersect
Ordered pair: pair of numbers that help locate a point on a coordinate plane x-coordinate: corresponds to a number on the x-axis y-coordinate: corresponds to a number on a y-axis
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Write the ordered pairs for the points
A (____,____) B (____,____) C (____,____) D (____,____) E (____,____)
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Locate the Quadrant 1.What quadrant is A located in?_______
2.What quadrant is C located in?_______ 3.What quadrant is D located in?_______ 4.What quadrant is F located in?_______
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Graph and the label A (4,2) B (-3,1) C (0,-1) D (1,-4) E (5,3)
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Add Integers 5+17= (-6)+12= (-9)+ (-7)= 8+ (-3)= (-5)+(-22)=
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Subtract Integers 8-13= 10-7= 8-2= (-20)-15= (-22)-26=
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Do Now 1. -3+5= 2. 4 - 6= +1 +2 +3 +4 +5 -5 -4 -3 -2 -1 +1 +2 +3 +4 +5
+1 +2 +3 +4 +5 -5 -4 -3 -2 -1 = = +1 +2 +3 +4 +5 -5 -4 -3 -2 -1
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Multiplying Integers 7 ×(-2)= 4 × (-5)= (-3) × (-6)= 8 × (-1)=
(-4) × (-11)=
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Dividing Integers (-6) ÷ 3= (-22) ÷ (-11)= 20 ÷ (-4)= (-16) ÷ 2=
(-30) ÷(-5)=
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Do Now Absolute Value 1. |-63|= Order of Operations 2. 8+ (5+4) ÷ 2=
Add the Integers 3. (-14) =
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