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Level 338

Properties of Real Numbers


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Variable
an alphabetic character representing a number, called the value, which is either arbitrary or not fully specified or unknown. It is usually a letter like x or y.
origin
The centre point of a number line (ground floor of a hotel, freezing point on a thermometer)
negative numbers
-amounts owed
Positive numbers
represents points to the right of the zero. p63
graph
A visual display of data
plotting
drawing the number that corresponds to a number in the graph. p63
order of operations
The rules for calculating a maths question containing mixed operations, such as 14 - 2 x 4 + 12
data
A collection of information gathered for a purpose. Data may be in the form of either words or numbers.
function
If you repeat an INPUT, and you always get the same OUTPUT, your data is a ______________________ .
real numbers
Any Number
Integers
the set of positive whole numbers and their opposites(negative numbers) and 0
absolute value
The distance of a number from zero on a number line; shown by | |
opposites
two numbers that have the same absolute value but have different signs
counterexample
An example that proves a conjecture false
velocity
The rate at which distance is changing with time.
matrix
a rectangular array of elements (or entries) set out by rows and columns
entry / element
each number in the matrix. p86
distributive property
Multiplying a sum by a number is the same as multiplying each term by the number and then adding (or subtracting ) the products.
Commutative Property
3 + 2 = 2 + 3
Associative Property
(1 + 2) + 3 = 1 + (2 + 3)
Identity Property
the sum of any number and zero is the original number
Property of Zero
a × 0 = 0
Property of opposites
a number multiplied by -1 is the opposite of the number
Coefficient
the decimal part
Like Terms
expressions that contain the same variables to the same power
simplified
if an expression has no grouping symbols and if all the like terms have been combined. p102
reciprocal / inverse property of multiplication
for every number other than zero, there exists its interchangeable compliment. p108
probability of an event
a measure of the likelihood that the event will occur. p114
outcomes
the different possible results when you do a probability experiment. p114
Event
a single outcome or a group of outcomes
theorectical probability
an "even roll" consiting of outcomes. p114
favorable outcomes
the outcomes for an event you wich to have happen. p114
experimental probability
What the outcomes did turn out to be in an experiment.
odds
favorable outcomes divided by unfavorable outcomes
Rational Number
Any number that can be expressed as a ratio of two integers. Example; 6 can be expressed as 6/1, and 0.5 as 1/2.