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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

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 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 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 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…

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…

When you deal with questions that ask…

When you add / subtract / multiply / d…

When you divide two integers, you can…

Anything multiplied by an even number is

translate fractions into decimals.

an integer.

an integer or a non-integer.

even.

When you deal with questions that ask…

translate fractions into decimals.

When you add / subtract / multiply / d…

an integer.

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

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…

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

All real numbers are positive or negat…

What kind of numbers correspond to poi…

The distance between a number and zero…

What is the absolute value symbol

Zero

Real Numbers

Absolute Value

| |

All real numbers are positive or negat…

Zero

What kind of numbers correspond to poi…

Real Numbers

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

Equalateral triangle

Integer

Prime numbers

Are/is

All angles are equal (60 degrees)

A whole number that is not a fraction, including negatives an…

2,3,5,7,11,13,17,19,23,29,31,37,41,43,47, and 53

"Is" is singular and "are" is plural in sentences.

Equalateral triangle

All angles are equal (60 degrees)

Integer

A whole number that is not a fraction, including negatives an…

n= total number of terms... n/2= number o…

1) Factor out multiple,... 2) the remaini…

Two lines in the same plane that never…

mn

Sum of Sequences

Finding number of multiples in a list

Parallel lines

if m is the mean of n numbers, then the sum of the numbers is

n= total number of terms... n/2= number o…

Sum of Sequences

1) Factor out multiple,... 2) the remaini…

Finding number of multiples in a list