Integers and Absolute Value

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

-5 -4 -3 -2 -1 +1 +2 +3 +4 +5 Positive integers are integers greater than 0. They can be written without + sign.

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.

Zero is neither negative nor positive. -5 -4 -3 -2 -1 +1 +2 +3 +4 +5 Zero is neither negative nor positive.

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.

Write an integer for each situation. Weather: 5 degrees below normal Since the weather is below normal, the integer is written as -5.

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.

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 ____.

Graph this set on a number line. (-4, -2, 0, 5) -5 -4 -3 -2 -1 +1 +2 +3 +4 +5

Graph Integers Graph the integers: -3,1,4

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).

Let’s try this one… -4 = 4 4 units +1 +2 +3 +4 +5 -5 -4 -3 -2 -1

Evaluate then graph 1. |-4| =_______ 2. |-6|=_______ 3. |-10|=______

Evaluate and solve 5+ |-14|= |-16| +2= 7+ |-12|= 1. Absolute value 2.Rewrite it 3. Solve 5+ |-14|= |-16| +2= 7+ |-12|=

Coordinate Plane

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

Write the ordered pairs for the points A (____,____) B (____,____) C (____,____) D (____,____) E (____,____)

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?_______

Graph and the label A (4,2) B (-3,1) C (0,-1) D (1,-4) E (5,3)

Add Integers 5+17= (-6)+12= (-9)+ (-7)= 8+ (-3)= (-5)+(-22)=

Subtract Integers 8-13= 10-7= 8-2= (-20)-15= (-22)-26=

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. -3+5= 2. 4 - 6= +1 +2 +3 +4 +5 -5 -4 -3 -2 -1

Multiplying Integers 7 ×(-2)= 4 × (-5)= (-3) × (-6)= 8 × (-1)= (-4) × (-11)=

Dividing Integers (-6) ÷ 3= (-22) ÷ (-11)= 20 ÷ (-4)= (-16) ÷ 2= (-30) ÷(-5)=

Do Now Absolute Value 1. |-63|= Order of Operations 2. 8+ (5+4) ÷ 2= Add the Integers 3. (-14) +11 -3=