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Order of Operations
- Parentheses
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
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If a problem it factored you should...
distribute it
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If a problem is distributed you should...
factor it
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Another word for "factors" is...
divisors
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The largest factor of a number is...
that number
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Factors are _____, Multiples are ______.
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the smallest multiple of a number is....
that number
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when factoring you're getting numbers that are..
less than or equal to the number
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when getting multiples youre getting numbers that are..
greater than or equal to the number
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when reducing fractions find the...
common denominator
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when comparing fractions and finding which is bigger or smaller you need to...
cross multiply (larger number, is the larger fraction)
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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
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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
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you cannot reduce fractions over an...
equal sign
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to divide unlike fractions you must...
invert second fraction then multiply straight across
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to turn fractions into decimals you...
do the division
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to convert decimals to fractions you...
count number of places in number, then place number w/o decimal over the unit....(3 places = 1000) then divide
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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.
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when converting decimals to percentages you...
move the decimal point 2 places to the right
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when converting percentages to decimals you...
move decimal point two places to the left
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"what percent" means
y/100
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"of" means
multiplication
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Percent change equation
% = (amount change/original) x 100
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average equation triangle
total/(# of things x averages)
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a negative power is the reciprocal of...
a positive power
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anything to the zero power is...
1
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anything to the first power is...
itself
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when several numbers are inside parentheses, the exponent outside the parentheses must be...
distributed to all the numbers within
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when multiplying exponents when bases are the same, you ____ the exponents.
add
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when dividing exponents when bases are the same, you ____ the exponents.
subtract
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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.
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if exponential terms have different bases and different exponents how do you combine them?
you cant
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terms with exponents can be added or subtracted only when...
they have the same base and exponent.
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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 ______.
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a negative number raised to an odd power is..
negative
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a negative number raised to an even power becomes..
positive
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anything raised to an even power is...
positive
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A negative number has no real...
roots, usually no solution
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if you raise a positive fraction of less than 1 to a power, it gets....
smaller
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if you raise a negative number to an odd power, the number gets...
smaller
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roots are...
exponents in reverse
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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
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when the number under a radical has a factor whose root is an integer, then the radical can be....
simplified
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roots can be combined by addition and subtraction only when..
they are roots of the same order and roots of the same number
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roots can be multiplied and divided freely as long as...
all the roots are of the same order
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when you have fractional exponents the numerator is ..
inside the root
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when you have fractional exponents the denominator is ..
outside the root
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the square of two is... (valentines day)
1.4
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the square of three is... (st. patricks day)
1.7
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