properties of real numbers

Algebra 2

a +b=b+a

a(b)=(b)a

COMMUTATIVE PROPERTY

a+(-a)=0

a(1/a)=1

INVERSE PROPERTY

HINT: Think of opposite

a(b+c)=a(b)+a ( c)

DISTRUBUTIVE PROPERTY

a+0=a

a(1)=a

IDENTITY PROPERTY

a+(b+c)=(a+b)=c

a(bxc)=(axb)c

ASSOCIATIVE PROPERTY

SUM

TOTAL

ADDITION

DIFFERENCE

SUBTRACTION

PRODUCT

MULTIPLACATION

QUOTIENT

DIVIDE

THE P IN PEMDAS STAND FOR

PARENTHESIS

THE E IN PEMDAS STANDS FOR

EXPONENTS

THE M IN PEMDAS STANDS FOR

MULTIPLY

THE D IN PEMDAS STANDS FOR

DIVISION

THE A IN PEMDAS STANDS FOR

ADDITION

THE S IN PEMDAS STANDS FOR

SUBTRACTION

IF YOUR INEQUALITY LOOKS LIKE THIS < DO YOU LEAVE THE CIRCLE OPEN OR CLOSED

OPEN

IF YOUR INEQUALITY SIGN LOOKS LIKE THIS <

—

DO YOU LEAVE IT OPEN OR CLOSED

CLOSED

WHEN YOU MULTIPLY OR DIVIDE BY A NEGATIVE NUMBER YOU ALWAYS FLIP THE INEQUALITY SIGN TRUE OR FALSE

TRUE

WITH A “AND” INEQUALITY DO YOU SHADE IN THE MIDDLE OR THE OUTSIDES

MIDDLE

WITH A “OR” INEQUALITY DO YOU SHADE THE MIDDLE OR THE OUTSIDES

OUTSIDES

AN AND ALGEBRAIC EXPRESSION TRAPPED BETWEEN TWO INEQUALITY’S IS CALLED

AN AND EXPRESSION

EXAMPLE OF AN AND INEQUALITY

-9<x+4<10

EXAMPLE OF OR INEQUALITY

6X+9<3 OR 3X-8>13

ABSOLUTE VALUE EQUATIONS HAVE 2 ANSWERS

TRUE OR FALSE

TRUE

YOU CAN ALWAYS CHANGE WHAT IS INSIDE OF ABSOLUTE VALUE BARS TRUE OR FALSE

FALSE

WHEN THE INEQUALITY POINTS TO THE LEFT(LESS THAN) IT BECOMES AN “AND” INEQUALITY AND YOU SHADE IN THE MIDDLE

TRUE OR FALSE

TRUE

WHEN THE INEQUALITY POINTS TO THE RIGHT (GREATER THAN) IT BECOMES AN OR INEQUALITY AND YOU SHADE THE OUTSIDES

TRUE OR FALSE

TRUE

MS AMLIN LOVES WHEN YOU PUT A 1 INFROUNT OF AN X

TRUE OR FALSE

FALSE!!!!!

INCLUSIVE MEANS CLOSED DOT

<

—

TRUE OR FALSE

TRUE

EXCLUSIVE MEANS OPEN DOT

<

TRUE OR FALSE

TRUE

REMINDER

LESS”AND”

GREAT”OR”