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95 Cards in this Set
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A "whole" number that does not contain decimals, fractions, or radicals; can be positive or negative or zero; Examples: 500, 0, 1, 28

Integer



Greater than zero; Examples: 0.5, 25, 5/3

Positive



Less than zero; Examples: 72.3; 7/4; 2

Negative



An integer divisible by two; Examples: 40, 0, 2

Even



An interger not divisible by two;Examples: 41, 1, 3

Odd



wwhen another nummber divides into another number with nothing leftover; Examples: 10 is by number 2 but not by number 3

Divisible



the result of adding; Example: the number 7 in 3 + 4

Sum



the result of subtracting; Example: the number 5 in 7  2

Difference



the result of multiplying; Example: the number 35 in 7*5

Product



The result of dividing; Example:
The number 2 in 8/4 
Quotient



A number that is only divisible by itself and 1; 1 is not this because 1 is itself; negative numbers and zero are not this. Examples: 2, 3, , 5, 7

Prime



In a row, usually ascending; Examples: 1, 2, 3, 4; 3, 2, 1, 0

Consecutive



0  9; the numbers on the phone pad; Examples: 1, 2, 3, 4, 5, 6, 7, 8, 9

Digits



Different; Examples: 2 and 3; 6.24 and 6.26; 4 and 9

Distinct



The "leftovers" when one number doesn't divide evenly into another number; Examples: the number 1 in 10/3

Remainder



a number that divides into another number; example the number is in 24/6

Divisor



negative x negative

positive



positive x positive

positive



negative x positive

negative



even x even

even



odd x odd

odd



even x odd

even



even + or  even

even



odd + or  odd

even



even + or  odd

odd



A positive integer that divides evenly into another positive integer.

Factor
The factors of 12 are 1 and 12, 2 and 6, and 3 and 4. There are FEW factors. The largest factor of any number is always the number itself. 


The product of some positive integer and any other positive integer.

Multiple
The multiples of 12 are 12, 24, 36, 48, 60. There are MANY multiples. The smallest multiple of any number is always the number itself. 


Rule: It's even (its last digit is even)

A number is divisible by 2

1,576


Rule: Its digits add up to a multiple of 3

A number is divisible by 3

8,532 8+5+3+2=18


Rule: Its last two digits are divisible by 4

A number is divisible by 4

121,532 32/4 = 8


Rule: Its last digit is 5 or 0

A number is divisible by 5

568,745 or 320


Rule: its last digit is even and its digits add up to a multiple of 3

A number is divisible by 6

55,740 even and 5+5+7+4+0=21


Rule: its last three digits are divisible by 8

A number is divisible by 8

345,862,120 120/8 = 15


Rule: Its digits add up to a multiple of 9

A number is divisible by 9

235,692 2+3+5+6+9+2 = 27


Rule: Its last digit is zero

A number is divisible by 10

11,130


Rule: Its digits add up to a multiple of 2 and its last two digits are divisible by 4

A number is divisible by 12

3,552 3+5+5+2=15 and 52/4=13


Rule: Its digits add up to a multiple of 3 and its last digit is 5 or 0

A number is divisible by 15

3,255 3+2+5+5 = 15


P E MD AS

P stands for "parentheses." Solve for parentheses first.



P E MD AS

E stands for "exponents." Solve for your exponents second.



P E MD AS

M stands for "multiplication" and D Stands for "division" You do all your multiplication and division together and in the same step, going from left to rights



P E MD AS

A stands for "addition" and S stands for "subtraction" You do all your addition and subtraction together in the same step, going from left to right.



part/whole

fraction



the top of the fraction

numerator



bottom of the fraction

denominator



a fraction flipped over (also called the inverse of a fraction)

reciprocal



the line between the numerator and denominator and it is equivalent to divided by

fraction bar



A decimal is just a

fraction 0.5 = 5/10



A fraction is just a

decimal 3/5 = .6



place the decimal over 1, move the decimal points the same number of places on the top and the bottom until you have whole numbers on both the top and the bottom and then reduce

to convert decimal to a fraction



divide the bottom into the top

to convert fraction into a decimal



1. Ignore the decimal points and simply multiply the numbers as if they were integers
2. Count the number of decimal places in each of the original decimals 3. Take your product from step 1 and move the decimal point the same number of spaces to the left 
Multiplying Decimals



over one hundredcan be expressed as a fraction by simply putting it over 100 (and then reducing your resulting fraction, when necessary)

percent



part/whole = x/100 where x is your percent

to convert a fraction into a percent
3/5 = 60/100 = 60% 


drop the percent sign and move the decimal point two places over to the left

to convert a percent to a decimal
25% = 0.25 


mover your decimal two point places to the right and add a percent sign

to convert a decimal into a percent



/100

percent



x(times)

of



x,y, or z

what



= (equals)

is, are, was, were



(difference/original) x 100

percent increase/decrease



original is smaller number

percent increase or percent greater



original is the larger number

percent decrease or percent less



If you can figure out 10 % then you can easily figure out 5% by dividing your result by 2 or 30% by multiplying your result by 3, etc.

Approximating Percents



Percent: 25% or .25
What is the fraction? 
Fraction: 1/4



What is the fraction?
Percent: 50% or .5 
Fraction: 1/2



What is the fraction?
Percent: 75% or .75 
Fraction: 3/4



What is the fraction?
Percent: 20% or .2 
Fraction: 1/5



What is the fraction?
Percent: 40% or .4 
Fraction: 2/5



What is the fraction?
Percent: 60% or .6 
Fraction: 3/5



What is the fraction?
Percent: 80% or .8 
Fraction: 4/5



What is the fraction?
Percent: 33 1/3% or .333 
Fraction: 1/3



What is the fraction?
Percent: 66 2/3% or .666 
Fraction: 2/3



What is the fraction?
Percent: 16 2/3% or .166 
Fraction: 1/6



What is the fraction?
Percent: 12 1/2 % or .125 
Fraction: 1/8



What is the fraction?
Percent: 11 1/9% or .111 
Fraction: 1/9



What is the fraction?
Percent: 9 1/11 or .0909 
Fraction: 1/11



What is the fraction?
Percent: 8 1/3 % or .083 
Fraction: 1/12



What do you use to add or subtract fractions?

Bowtie:
1. Multiply diagonally up (opposing denominators and numberations 2. Bring up the sign (+ or ) 3. Add/subtract across the top 4 multiply across the bottom 


What do you use to compare fractions?

Bowtie:
1. Multiply diagonally up (opposing denominators and numerators) 2. Compare the results 


What is (difference/original) x 100

Percent change



What is (difference/smaller) x (x/100)

Percent increase/greater



what is (difference/larger) x (x/100)

Percent decrease/less



the smallest and the only even prime number

2



To break quant comp questions with pluggins, the Z in Zone F stands for?

Z=zero



To break quant comp questions with pluggins, the 0 in Zone F stands for?

o = one



To break quant comp questions with pluggins, the N in Zone F stands for?

N = negative



To break quant comp questions with pluggins, the e in Zone F stands for?

E= extremely large or small numbers



To break quant comp questions using pluggins, the F in ZONE F stands for?

F = Fractions



The five recycled relationships for anologies?

type of
used to characteristic of degree without 


Mixture Problems
How are mixture problems solved? 
Mixture problems deal with the mixing of ingredients having different costs. Mixture problems are solved using the following formula: n x p = v
n = the number of units of the same kind, p = the price per unit, and v = the total value of all units 


What is the procedure for factoring by finding the Greatest Common Factor (GCF) of a polynomial?

To factor a polynomial:
1. Find the greatest monomial that is a factor of each term 2. Divide the polynomial by the monomial factor. The quotient is the other factor. 3. Express the polynomial as the product of the two factors 


LEVER

A lever is a bar that can rotate about a fixed point called the fulcrum. When a lever is balanced, the weight to the fulcrum is equal to the weight on the other side times the distance from it to the fulcrum.
The fomula is w1 x d1 = w2 x d2 


FOIL

Foil is a method for multiplying two binomials. Multiply terms is parentheses in the following order:
Firsts; Outers; Inners; Lasts example: (a + b)(c +d) ac + ad + bc + bd 


What is the product of the sum and difference of two terms?

The product of the sum and difference of two terms is equal to the sqare of the first term minus the square of the second term
(x + y) (x  y) = x2  y2 


A trinomial is of the form ax2+bx+c. How is a trinomial factored?

1. The product of the first terms of both binomials must equal the first term of the trinomial (ax2)
2. The product of the last terms of both binomials must equal the last term of the trinomial 3. When the first term of each binomial is multiplied by the second term of the other and the sum of these products is found, it must be equal to the middle term (bx) 
