
Order of Operations
 Parentheses
 Exponents
 Multiplication
 Division
 Addition
 Subtraction

IfÂ a problem it factored you should...
distribute it

If a problem is distributed you should...
factor it

Another word for "factors" is...
divisors

The largest factor of a number is...
that number

Factors are _____, Multiples are ______.

the smallest multiple of a number is....
that number

when factoring you're getting numbers that are..
less than or equal to the number

when getting multiples youre getting numbers that are..
greater than or equal to the number

when reducing fractions find the...
common denominator

when comparing fractions and finding which is bigger or smaller you need to...
cross multiply (larger number, is the larger fraction)

to add "unlike" fractions you use the...
bowtie method, cross multiply to get two numbers, add those numbers together then divide by the product of the denominators

To subtract "unlike" fractions you use the...
bowtie method, cross multiply to get two numbers, subtract those numbers together then divide by the product of the denominators

you cannot reduce fractions over an...
equal sign

to divide unlike fractions you must...
invert second fraction then multiply straight across

to turn fractions into decimals you...
do the division

to convert decimals to fractions you...
count number of placesÂ in number, then place number w/o decimal over the unit....(3 places = 1000) then divide

to multiply decimals..
count how many digits in total are to the right in the whole problem, then multply the numbers normally, then place the decimal point so that the same amount of digits are to the right.

when converting decimals to percentages you...
move the decimal point 2 places to the right

when converting percentages to decimals you...
move decimal point two places to the left

"what percent" means
y/100



"of" means
multiplication


Percent change equation
% = (amount change/original) x 100

average equation triangle
total/(# of things x averages)

a negative power is the reciprocal of...
a positive power

anything to the zero power is...
1

anything to the first power is...
itself

when several numbers are inside parentheses, the exponent outside the parentheses must be...
distributed to all the numbers within

when multiplying exponents when bases are the same, you ____ the exponents.
add

when dividing exponents when bases are the same, you ____ the exponents.
subtract

when multiplying or dividing exponents that are the same with different bases, to solve them you...
preform the regular operation to the base (multiply, divide) and keep the exponent the same.

if exponential terms have different bases and different exponents how do you combine them?
you cant

terms with exponents can be added or subtracted only when...
they have the same base and exponent.

when an exponential term is raised to another power, these exponents are _______ and the coefficent inside the pararenthesis is raised by the exponent on the ______.

a negative number raised to an odd power is..
negative

a negative number raised to an even power becomes..
positive

anything raised to an even power is...
positive

A negative number has no real...
roots, usually no solution

if you raise a positive fraction of less than 1 to a power, it gets....
smaller

if you raise a negative number to an odd power, the number gets...
smaller

roots are...
exponents in reverse

when you have roots, break them down according to..
 what kind of root they are...
 square = 2 factors
 Cubed = 3 factors
 fourthed = 4 factors
 fifted = 5 factors

when the number under a radical has a factor whose root is an integer, then the radical can be....
simplified

roots can be combined by addition and subtraction only when..
they are roots of the same order and roots of the same number

roots can be multiplied and divided freely as long as...
all the roots are of the same order

when you have fractional exponents the numerator is ..
inside the root

when you have fractional exponents the denominator is ..
outside the root

the square of two is... (valentines day)
1.4

the square of three is... (st. patricks day)
1.7

