CHAPTER P SECTION 1 NOTES

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# CHAPTER P SECTION 1 NOTES - PowerPoint PPT Presentation

CHAPTER P SECTION 1 NOTES. EXPONENTIAL NOTATION. b n = b•b•b•b ….•b. EXAMPLES:. 1. 5 3. 2. 2 5. 3. -3 4. EVALUATING ALGEBRAIC EXPRESSIONS USING THE ORDER OF OPERATIONS. THE ORDER OF OPERATIONS. PARENTHESE (),[],{}. EXPONENTS. MULTIPLCATION DIVISION. ADDITION SUBTRACTION.

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CHAPTER P

SECTION 1 NOTES

EXPONENTIAL NOTATION

bn= b•b•b•b….•b

EXAMPLES:

1. 53

2. 25

3. -34

THE ORDER OF OPERATIONS

PARENTHESE (),[],{}

EXPONENTS

MULTIPLCATION

DIVISION

SUBTRACTION

EVALUATING AN ALGEBRAIC EXPRESSION: FIND THE VALUE OF AN EXPRESSION FOR A GIVEN VALUE OF A VARIABLE.

1. 9 + 7(X-6)3 FOR X = 8

2. X3 + 4X2 – 15 FOR X = -4

3. FOR X = 4 AND Y = 5

INTERSECTION AND UNION OF SETS!!!!!!!!!!!

SYMBOLS:

INTERSECTION

UNION

Ø

NULL SET OR EMPTY SET

DEFINITION:

The intersection of sets A and B written A∩B is the set of elements

common to sets A and B.

The union of sets A and B, written AᴜB, is the set of elements that are

members of set A or set B.

The empty set or null set is the set that has no elements in it.

EXAMPLES:

A = {2,5,7,9,13,24} B = {3,5,7,13,26} C = {-2,-6,-14,-20,-56}

FIND:

1. A∩B

2. AᴜC

3. B∩C

4. AᴜBᴜC

EXAMPLES:

TRUE OR FALSE

1. 56 > 45

-41 ≥ - 50

29 ≤ 12

-73 < -83

14 > 14

-67 ≥ -67

ABSOLUTE VALUE

DEFINITION:

The Absolute Value of a given number is the distance that number is from zero on a number line

{

X if X ≥ 0

EXAMPLES:

X =

-X if X < 0

│5│

│-34│

│15-56│

-6│3│

│-12│-│10│

│-12 - 10│

SYMBOLS:

││

DISTANCE BETWEEN TWO POINT ON THE REAL NUMBER LINE

If a and b are any two points on a real number line, then the distance between a and b is given by:

│a - b│ or │b - a│

EXAMPLES:

12 and 45

-6 and 7

-45 and -8

HOMEWORK:

PAGE 14-15 {1-74} THE EVENS