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Prime Number

Formula for Prime #s > 3

Factor

Factor Properties

2 divisors - 1 and itself

6n+1 or 6n-1

Divisor of an integer n... Integer which divides evenly into n

1. If a is a factor of c and a is a factor of b, then a is a…

Prime Number

2 divisors - 1 and itself

Formula for Prime #s > 3

6n+1 or 6n-1

An integer is said to be divisible by…

An integer is divisible by....

A factor is a positive integer that di…

A multiple of an integer is formed by…

...

- 2 if the integer is even... - 3 if the same of the integer's d…

For example, 1, 2, 3, and 8 are all the factors (also called…

...

An integer is said to be divisible by…

...

An integer is divisible by....

- 2 if the integer is even... - 3 if the same of the integer's d…

An integer is divisible by 3 iff

An integer is divisible by 4 iff

An integer is divisible by 6 iff

An integer is divisible by 8 iff

the sum of the integer's digits is divisible by 3

the integer is divisible by 2 twice, or the integer's last tw…

the integer is divisible by both 2 and 3

the integer is divisible by 2 three times, or the integer's l…

An integer is divisible by 3 iff

the sum of the integer's digits is divisible by 3

An integer is divisible by 4 iff

the integer is divisible by 2 twice, or the integer's last tw…

Interger

Arithmetic Processes that ALWAYS resul…

Arithmetic Process that SOMETIMES resu…

Intergers are Divisible by 2 if

positive and negative numbers that are whole. Includes zero

addition... subtraction... multiplication

division

the interger is even

Interger

positive and negative numbers that are whole. Includes zero

Arithmetic Processes that ALWAYS resul…

addition... subtraction... multiplication

An integer is divisible by 2 if:

An integer is divisible by 3 if:

An integer is divisible by 4 if:

An integer is divisible by 5 if:

It is even

The sum of the integer's digits is divisible by 3

The integer is divisible by 2 twice, or if the last two digit…

The integer ends in 5 or 0

An integer is divisible by 2 if:

It is even

An integer is divisible by 3 if:

The sum of the integer's digits is divisible by 3

Integers ... (Definition)

Real Numbers ... (Definition)

Rational Numbers... (Definition)

Factors/Divisors... (Definition)

Whole numbers (positive and negative and 0); subset of Real/R…

All numbers except unreal numbers (everything on the number l…

All whole numbers and fractions. Any number that can be expre…

a number of +integers that divide perfectly without a remaind…

Integers ... (Definition)

Whole numbers (positive and negative and 0); subset of Real/R…

Real Numbers ... (Definition)

All numbers except unreal numbers (everything on the number l…

Divisibility Rule - 3

Divisibility Rule - 4

Divisibility Rule - 6

Divisibility Rule - 8

If sum of the integer's digits is divisible by 3

If the integer is divisible by 2 twice... OR... If the last two dig…

If divisible by both 2 and 3... (It is an even number that is al…

If divisible by 2 three times... OR... If the last three digits are…

Divisibility Rule - 3

If sum of the integer's digits is divisible by 3

Divisibility Rule - 4

If the integer is divisible by 2 twice... OR... If the last two dig…

Odd +- Odd =... Even +- Even =... Odd +- Eve…

12 is a multiple of

prime factors vs. distinct prime factors

if a certain number is divisible by 12…

Odd +- Odd = EVEN... Even +- Even =EVEN... Odd +- Odd = ODD... Odd x…

3,4,6,2... -because 12 is divisible by 3,4,6,2... -multiple is the…

1,050 = 2 x 3 x 5 x 5 x 7... -5 prime factors... -4 distinct prime…

12 PF = 2, 2, and 3... 10 PF = 5, 2... 2 x 2 x 3 x 5 = 60... 24 is no…

Odd +- Odd =... Even +- Even =... Odd +- Eve…

Odd +- Odd = EVEN... Even +- Even =EVEN... Odd +- Odd = ODD... Odd x…

12 is a multiple of

3,4,6,2... -because 12 is divisible by 3,4,6,2... -multiple is the…

How do you know if a number is divisib…

How do you know if a number is divisib…

How do you know if a number is divisib…

How do you know if a number is divisib…

If the sum of the number's digits is divisible by 3

If it's divisible by 2 twice, or if the last two digits are d…

if it's divisible by both 2 and 3

if the sum of its digit's is divisible by 9

How do you know if a number is divisib…

If the sum of the number's digits is divisible by 3

How do you know if a number is divisib…

If it's divisible by 2 twice, or if the last two digits are d…

0 is odd or even?

When a number is odd or even

Rational Numbers

Irrational Numbers

0 is an even number

it must an integer

All numbers that can be expressed as the ratio of 2 integers:…

All real numbers that are not rational, both postive or negat…

0 is odd or even?

0 is an even number

When a number is odd or even

it must an integer

Bowtie Approach

Lowest Common Denominator Method vs Bo…

Decimal place values

Postive exponent

Adding or subtracting fractions using this formula:... a/b + c/…

Use LCD when all the numbers in the denominators are factors…

6,493.783... thousands, hundreds, tens, units . tenths hundredth…

Move the decimal to the right by the number of places represe…

Bowtie Approach

Adding or subtracting fractions using this formula:... a/b + c/…

Lowest Common Denominator Method vs Bo…

Use LCD when all the numbers in the denominators are factors…

Interger

Arithmetic Processes that ALWAYS resul…

Arithmetic Process that SOMETIMES resu…

Intergers are Divisible by 2 if

positive and negative numbers that are whole. Includes zero

addition... subtraction... multiplication

division

the interger is even

Interger

positive and negative numbers that are whole. Includes zero

Arithmetic Processes that ALWAYS resul…

addition... subtraction... multiplication

Interger

Arithmetic Processes that ALWAYS resul…

Arithmetic Process that SOMETIMES resu…

Intergers are Divisible by 2 if

positive and negative numbers that are whole. Includes zero

addition... subtraction... multiplication

division

the interger is even

Interger

positive and negative numbers that are whole. Includes zero

Arithmetic Processes that ALWAYS resul…

addition... subtraction... multiplication

If 2 different representatives are to…

If n is positive, is sqrt(n) > 100?... 1…

If n and y are positive integers and 4…

A school administrator will assign eac…

Answer: E... 1) More than 1/2 of the 10 employees are women.... T…

TO DO LATER

Answer: 1 only

Answer: B - Statement 2 is sufficient and statement 1 in insu…

If 2 different representatives are to…

Answer: E... 1) More than 1/2 of the 10 employees are women.... T…

If n is positive, is sqrt(n) > 100?... 1…

TO DO LATER

What integers are a factor of 48?

What integers are a factor of 8748?

How many factor pairs are there for 72…

How many factor pairs for 48? How many…

1 2 3 4 6 8

1 2 3 4 6 9

6 (1 2 3 4 6 8, 9 is a pair with 8 so isnt counted twice) 7 (…

6 (1 2 3 4 6 8) 6 (1 2 3 4 6 8)

What integers are a factor of 48?

1 2 3 4 6 8

What integers are a factor of 8748?

1 2 3 4 6 9

Natural numbers

Positive integers

Whole numbers

Integers

1,2,3,4,5.... Do not include zero

Natural numbers, do not include zero

All numbers including zero 0,1,2,3,4,5....

All positive & negative numbers , zero is neither positive or…

Natural numbers

1,2,3,4,5.... Do not include zero

Positive integers

Natural numbers, do not include zero

inverse property of addition

commutative property of addition

associative property of addition

identity property of addition

the sum of a number and its opposite is 0

the ORDER of the addends (numbers being added together) does…

the grouping of addends using parenthesis doesn't affect thei…

the sum of any number and zero is the original number

inverse property of addition

the sum of a number and its opposite is 0

commutative property of addition

the ORDER of the addends (numbers being added together) does…

A=(BH)/2

Two sides identical; two angles identi…

All three sides equal in length; All t…

One angle equals 90 degrees, opposite…

Area of Triangle

Definition of Isosceles Triangle

Definition of Equilateral Triangle

Definition of a Right Triangle

A=(BH)/2

Area of Triangle

Two sides identical; two angles identi…

Definition of Isosceles Triangle

Even Function

Odd Function

Neither Even Nor Odd Function?

Odd/Even Powers to determine Odd/Even…

f(-x) = f(x) for all values x in the domain.... F(x) = x^4 + 2x…

f(-x) = -f(x) for all values x in the domain.... F(x) = x^3 + 4…

If f(-x) ≠ -f(x) OR f(-x) ≠ f(x) for all values x in the doma…

Terms which involve odd powers of x will change signs when x…

Even Function

f(-x) = f(x) for all values x in the domain.... F(x) = x^4 + 2x…

Odd Function

f(-x) = -f(x) for all values x in the domain.... F(x) = x^3 + 4…

inverse property of addition

commutative property of addition

associative property of addition

identity property of addition

the sum of a number and its opposite is 0

the ORDER of the addends (numbers being added together) does…

the grouping of addends using parenthesis doesn't affect thei…

the sum of any number and zero is the original number

inverse property of addition

the sum of a number and its opposite is 0

commutative property of addition

the ORDER of the addends (numbers being added together) does…

Integers

An integer is said to be _______ by an…

Rules of Divisibility: 2

Rules of Divisibility: 3

whole numbers with no fractional part (non-fraction or non-de…

divisible

if the integer is even

if the SUM of the integer's DIGITS is divisible by 3

Integers

whole numbers with no fractional part (non-fraction or non-de…

An integer is said to be _______ by an…

divisible

commutative property of addition

associative property of addition

identity property of addition

identity property of multiplication

the ORDER of the addends (numbers being added together) does…

the grouping of addends using parenthesis doesn't affect thei…

the sum of any number and zero is the original number

the product of any number and 1 is equal to the original number

commutative property of addition

the ORDER of the addends (numbers being added together) does…

associative property of addition

the grouping of addends using parenthesis doesn't affect thei…

Commutative Property

Associative property

Distributive property

Additive inverse

The property that shows that numbers can be added or multipli…

Grouping numbers while adding or multiplying does not change…

Multiplication distributes over addition

The additive inverse of a number is its opposite. The sum of…

Commutative Property

The property that shows that numbers can be added or multipli…

Associative property

Grouping numbers while adding or multiplying does not change…

Associative Property of Addition

Associative Property of Multiplication

Distributive Property of Multiplicatio…

Identity property of Addition

You can add no matter how we group the numbers

You can multiply no matter how we group the numbers

You can multiply a sum by first multiplying each number in th…

Any number plus zero equals itself

Associative Property of Addition

You can add no matter how we group the numbers

Associative Property of Multiplication

You can multiply no matter how we group the numbers

commutative property of addition

associative property of addition

identity property of addition

identity property of multiplication

the ORDER of the addends (numbers being added together) does…

the grouping of addends using parenthesis doesn't affect thei…

the sum of any number and zero is the original number

the product of any number and 1 is equal to the original number

commutative property of addition

the ORDER of the addends (numbers being added together) does…

associative property of addition

the grouping of addends using parenthesis doesn't affect thei…

Identity Property of Addition

Identity Property of Multiplication

Commutative Property of Addition

Commutative Property of Multiplication

the sum of any expression and zero is the original expression

The product of any number and 1 is equal to the original numb…

The property that states the sum of an addition problem will…

Changing the order of factors does not change their product.…

Identity Property of Addition

the sum of any expression and zero is the original expression

Identity Property of Multiplication

The product of any number and 1 is equal to the original numb…