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What is the Closure Property of Addition?

What is the Commutative Property of Add…

What is the Associative Property of Add…

What is the Identity Property of Additi…

a+b is a real number... Ex: 3+5 is a real number

a+b=b+a... Ex: 1+2=2+1

(a+b)+c=a+(b+c)... Ex:1+(2+3)=(1+2)+3

a+0=a... Ex:10+0=10

Closure Property of Addition

Closure Property of Multiplication

Commutative Property of Addition

Commutative Property of Multiplication

a+b is a real number ... ex. 12+13 is a real number

ab is a real number ... ex. 12*13 is a real number

a+b=b+a ... ex. 12+13=13+12

ab=ba ... ex. 12**13=13**

Real Numbers include..

Rational Numbers

Irrational Numbers

Integers

Rational, integers, whole, and natural

Can be written as a fraction (quotient of integers)... Can be REP…

NONTERMINATING or NON-REPEATING decimals ... Square roots of NON…

Negative numbers , 0 , and positive numbers

Reflexive Property

Symmetric Property

Transitive Property

Substitution Property

Any quantity is equal to itself

If one quantity equals a second quantity, then the second quan…

If one quantity equals a second quantity and the second quanti…

A quantity may be substituted for its equal in any expression.

Reflexive Property

Symmetric property

transitive property

Substitution property

any quantity is equal to itself

If one quantity equals a second quantity then the second quant…

if one quantity equals a second quantity and the second quanti…

a quantity may be substituted for its equal in any expression

Distributive Property

Commutative Property

Associative Property

Identity Property

the purpose is to get rid of parentheses

only applies to addition and multiplication, order doesn't mat…

only applies to addition and multiplication, the manner in whi…

What you start with, you end up with

Real Number (R)

Rational Number (Q)

Irrational Number (I)

Integers (Z)

Any type of number

Can be expressed as a ratio; terminating decimal, or repeating…

Is a non terminating decimal, or does not repeat; 3.14 or a sq…

Any positive or negative number (as long as it isn't a decimal)

Commutative Property of Addition

Commutative Property of Multiplication

Associative Property of Addition

Associative Property of Multiplication

When adding numbers, changing the order of the numbers doesn't…

When multiplying, changing the order of the factors doesn't ch…

When adding numbers, changing the grouping of the numbers does…

When multiplying, changing the grouping of the doctors doesn't…

Absolute Value

Algebraic Expression

Associative Property

Base

The distance from zero to any number on the number line. Examp…

An expression consisting of one or more numbers and variables…

Property Example: (a + b) + c = a + (b + c); (ab)c = a(bc)

In an expression of the form x^n, it is the "x"

additive property

commutative property of addition

associative property of addition

multiplicative identity

a + 0 = a; the sum of a number and 0 is that number

a + b = b + a; changing the order of addends doesn't effect th…

a + (b + c) = (a + b) + c; changing the grouping of addends do…

a * 1 = a; the product of a number and 1 is that number

Commutative Property of Addition

Commutative Property of Multiplication

Properties of Closure Addition

Properties of Closure Multiplication

a+b = b+a... Changing the Order

ab = ba... Changing the Order

a+b is a unique real number

ab is a unique real number

Absolute Value

Algebraic Expression

Associative Property

Base

The distance from zero to any number on the number line. Examp…

An expression consisting of one or more numbers and variables…

Property Example: (a + b) + c = a + (b + c); (ab)c = a(bc)

In an expression of the form x^n, it is the "x"

Commutative Property

Commutative

Associative Property

Associative

The order of numbers can change in addition and multiplication…

2 + 3 = 3 + 2 ... 3 x 2 = 2 x 3

Changing the grouping in addition and multiplication will not…

(2 + 3) + 4 = (3 + 4) + 2... (3 x 2) x 6 = (2 x 6) x 3