## Math 103 Final

##### Created by:

rareed2  on May 6, 2012

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# Math 103 Final

 problemsituation that needs resolution, no known process or beginning
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#### Definitions

problem situation that needs resolution, no known process or beginning
exercise situation that needs resolution, known process, practice
quantity anything that can be measured or counted accurately by estimation or inference, what is being measured
value measure given to the quantity
number symbol, represents a measure
unit basic amount of a quantity, called one
reasoning ability to draw conclusions from assumptions (agreed upon from beginning), premises, algorithms (accepted methods), or known facts
addition and subtraction the operations of our number system
closed staying in the field
binary 2 numbers, 1 output
subtrahend number being subtracted
factor turn into multiplication problem, one of the numbers being multiplied
multiplier number of groups (coefficient)
multiplicand number in each group
dividend number being split
divisor number of pieces split into
remainder what doesn't fit into a full group
means second and third written in a proportion, denominator of first, numerator of second
extremes first and last written, numerator of first, denominator of second
signed number any number other than 0 that has a place on the number line
absolute value distance traveled between 2 points, no direction
additive inverse a + -a= 0
additive identity a + 0= a
algebra the toolbox for higher mathematics, deals with problem solving
algebra arithmetic arithmetic that uses variables for numbers in the arithmetic toolkit
variable symbol that represents a value that varies
expression way of expressing numbers using variables, exponents, operations, parenthesis, and symbols
polynomial expression containing constants, variables, exponents; grouping symbols written in terms separated by + or -
equation 2 equal expressions, mathematical sentence
distributive (multiplicative) a(b+c)=ab+ac
commutative (multiplicative) a(b)=b(a)
associative (multiplicative) a(bc)=(ab)c
identity (multiplicative) a(1)=a
inverse (multiplicative) a(1/a)=1
transitive if a=b and b=c then a=c
legend definition of the variables
reflection flip, mirror image, isometric transformation; mirror is perpendicular bisector of all segments joining corresponding points
rotation spin, move in degrees, isometric transformation
which shapes tessellate? REGULAR POLYGONS
square, right or regular triangle, regular hexagon
transformation a rigid movement of a shape in a plane, shape does not change
isometric a transformation that preserves size
translation isometric transformation that slides a shape, uses a vector, directed distance
positive counter clockwise
is orientation changed by rotation? no
game of chance unknown outcome, depends on probability, equally likely to win
probability ratio to the whole, success (stated event)/ possible event total
event stated outcome
empirical experiment
theoretical do the math
odds not to the whole, 30 to 1- run 31 times, win once
expected value repeated trials take place in a situation, number of trials expected before success
random sample items chosen are done so without prejudice
sample space without replacement once an element is chosen, it is removed from sample space
multiplication principle of probability if 2 events are independent of each other then the probability of both happening is the product of the probability
is "and" or "or" more likely? or
permutation group of data points where order is important, more permutations than combinations
combination order is not important

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