CHAPTER P

SECTION 1 NOTES

EXPONENTIAL NOTATION

bn = b•b•b•b….•bEXAMPLES:

1. 53

2. 25

3. -34

EVALUATING ALGEBRAIC EXPRESSIONS USING THE ORDER OF OPERATIONS

THE ORDER OF OPERATIONS

1. PARENTHESE (),[],{}

2. EXPONENTS

3. MULTIPLCATION4. DIVISION

5. ADDITION6. 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 ᴜNULL SET OR EMPTY SET Ø

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 aremembers 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

INEQUALITY SYMBOLS:

><≤≥

EXAMPLES:

TRUE OR FALSE

1. 56 > 452. -41 ≥ - 503. 29 ≤ 124. -73 < -835. 14 > 146. -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 = { X if X ≥ 0

-X if X < 0

SYMBOLS:

││

EXAMPLES:

1. │5│2. │-34│3. │15-56│4. -6│3│5. │-12│-│10│6. │-12 - 10│

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:

1. 12 and 452. -6 and 73. -45 and -8

HOMEWORK:

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