#### Study sets matching "gmat number properties math"

#### Study sets matching "gmat number properties math"

Integer definition

Divisibility rule - divisible by 3

Divisibility rule - divisible by 4

Divisibility rule - divisible by 5

Positive, negative, 0. All are whole numbers

If sum of integer digits are divisible by the number

If integer is divisible by 2 twice or if last two digits are…

If integer ends in 0 or 5

Integer definition

Positive, negative, 0. All are whole numbers

Divisibility rule - divisible by 3

If sum of integer digits are divisible by the number

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…

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…

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

First ten prime numbers

Factor foundation rule

Divisible by 3

Greatest Common Factor (GCF)

2,3,5,7,9,11,13,17,19,23

If a is a factor of b, and b is a factor of c, then a is a fa…

Sum of digits is divisible by 3

Largest divisor of two or more integers. (Product of shared a…

First ten prime numbers

2,3,5,7,9,11,13,17,19,23

Factor foundation rule

If a is a factor of b, and b is a factor of c, then a is a fa…

divisibility rules

divisibility rules part 2

arthemetic rules of odds and evens

if you have an even number of negative…

- integer is divisible by two if integer is even... - integer is…

- integer is divisible by 5 if integer ends in 0 or 5... - integ…

addition/subtraction... E +/ E = E... O +/- E = O... O +/- O = E... mul…

the answer is positive

divisibility rules

- integer is divisible by two if integer is even... - integer is…

divisibility rules part 2

- integer is divisible by 5 if integer ends in 0 or 5... - integ…

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…

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

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…

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

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…

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

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…

inverse property of addition

commutative property of addition

associative property of addition

identity property of addition

add the opposite sign and you get zero

the order is switched

order must stay the same, parentheses move

add zero to keep the number the same

inverse property of addition

add the opposite sign and you get zero

commutative property of addition

the order is switched

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

Commutative Property of Addition and M…

Associative Property

Distributive Property

Identity Property of Addition

Addition and Multiplication are this: switching the order of…

Addition and multiplication are this: the order that the numb…

This property of multiplication over addition: multiplication…

adding 0 to a number leaves it unchanged. We call 0 the addit…

Commutative Property of Addition and M…

Addition and Multiplication are this: switching the order of…

Associative Property

Addition and multiplication are this: the order that the numb…

Prime numbers

Checking if # <100 is prime

ab < 0 and bc > 0

square root of n^2

factors of itself and 1 (one is NOT prime #)... 2 ,3, 5, 7, 11,…

1. other than 2, all other even #s ruled out... 2. see if divisi…

a & b have different signs ... b & c have the same sign ... Therefo…

n or -n *same for any even root, undefined if x is negative

Prime numbers

factors of itself and 1 (one is NOT prime #)... 2 ,3, 5, 7, 11,…

Checking if # <100 is prime

1. other than 2, all other even #s ruled out... 2. see if divisi…

Real Number

Imaginary Number

Integer

Is the number 0 an integer

Anything that falls on a number line including all positive a…

Can be defined as the square root of any negative number.

Any number that contains no decimal or fractional part

YES

Real Number

Anything that falls on a number line including all positive a…

Imaginary Number

Can be defined as the square root of any negative number.

Perfect Square

Square Root

irrational numbers

rational numbers

A number that is the square of a whole number

a number when multiplied by itself

cannot be written as a fraction, is not a perfect square, doe…

integer, fractions, terminating and repeating decimals

Perfect Square

A number that is the square of a whole number

Square Root

a number when multiplied by itself

Commutative Property of Addition Def.

Commutative Property of Addition Ex.

Commutative Property of Multiplication…

Commutative Property of Multiplication…

The order of addition does NOT matter

123 + 35 = 35 + 123

The order of multiplication does NOT matter

30 x 234 = 234 x 30

Commutative Property of Addition Def.

The order of addition does NOT matter

Commutative Property of Addition Ex.

123 + 35 = 35 + 123

Additive Identity

Multiplicative Identity

Commutative Property of Addition

Commutative Property of Multiplication

A number plus zero equals that number... a + 0 = 0

A number times one equals that number... a x 1 = a

Sum remains the same when order is changed around... a + b = b + a

Product remains the same when order is changed around... a x b =…

Additive Identity

A number plus zero equals that number... a + 0 = 0

Multiplicative Identity

A number times one equals that number... a x 1 = a

Commutative Property of Addition Def.

Commutative Property of Addition Ex.

Commutative Property of Multiplication…

Commutative Property of Multiplication…

The order of addition does NOT matter

123 + 35 = 35 + 123

The order of multiplication does NOT matter

30 x 234 = 234 x 30

Commutative Property of Addition Def.

The order of addition does NOT matter

Commutative Property of Addition Ex.

123 + 35 = 35 + 123

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…