1-MODULE 7
Discrete data ✔️Has distinct values, can be counted, had unconnected points (think dots)
Continuous data ✔️Has values within a range, measured not counted, does not have gaps between data points (data is connected lines or
curves).
Example of discrete data ✔️Days of the week
Expressions ✔️A group of symbols such as numbers and operators that has mathematical validity
Commutative ✔️The order in which the numbers appear in the sum can be reversed
Identity property ✔️Adding 0 to any number does not change the original number
Additive inverse ✔️Values that are equally far from 0 on the number line.
Negative ✔️When multiplying a positive number by a negative number the result is always
Positive ✔️Multiplying a negative number by a negative number results in a positive
Factors ✔️Integers that evenly divide the initial integer
Prime number ✔️Positive integer with exactly two positive factors consisting of 1 and itself
Composite number ✔️Has at least one positive factor other than one and itself
Factorization ✔️Process of breaking up a composite number into its prime factors
fundamental theorem of arithmetic ✔️Any integer greater than one is either Prime or the product of Prime numbers
Principal square root ✔️Positive square root of a number
Radican ✔️Number under radical sign √16=4
Open Circle ✔️Represents less than or greatest than on the number line
Perfect square ✔️Product of any integer with itself yields a perfect square.
Whole numbers ✔️positive numbers with a whole value
Integers ✔️Numbers with no fractions or decimal value but can be positive or negative
Rational numbers ✔️Numbers that can be expressed as a fraction or decimal values that have that end or repeat forever. Includes all integers
since all integers can be expressed as fractions.
Real numbers ✔️Everything that can be included in a number line including pi.
Fractions ✔️Express numbers which are part of a whole
Numerator ✔️Number written before the slash or above the fraction bar
Proper fraction ✔️Numerator is less than denominator and the value of the fraction is less than one
Improper fraction ✔️Numerator is greater than denominator and therefore is greater than one except with negative fractions
Mixed numbers ✔️A whole number and proper fraction. A negative sign in front applies to both parts of the mixed number.
Multiples ✔️Integers created by multiplying one number times another number
Fractions ✔️Express numbers which are part of a whole
Numerator ✔️Number written before the slash or above the fraction bar
, Proper fraction ✔️Numerator is less than denominator and the value of the fraction is less than one
Improper fraction ✔️Numerator is greater than denominator and therefore is greater than one except with negative fractions
Mixed numbers ✔️A whole number and proper fraction. A negative sign in front applies to both parts of the mixed number.
Multiples ✔️Integers created by multiplying one number times another number
Reciprocal ✔️The number which of multiplied by divisor gives you one (like the fraction flipped over)
Terminal decimal ✔️Has digits that end
Ratio ✔️Comparison of two numbers
Rate ✔️A ratio that compares two quantities having different units of measure
Proportion ✔️True statement in which two ratios are equal to each other. Two days are proportional of they are equivalent.
Conditional proportion ✔️One part of a proportion is a variable or unknown quantity
Celsius to Fahrenheit ✔️Celsius x 9/5 + 32
Fahrenheit to Celsius ✔️(Fahrenheit - 32) x 5/9
Constant ✔️Number with a fixed value. All real numbers are constants
Elementary operations ✔️Addition, subtraction, multiplication, division
Base ✔️The number an exponent is written next to
Variable ✔️Symbol that represents our holds the place of a numerical value
Coefficient ✔️A number by which a variable is being multiplied. Coefficients are written in front of variables. 16x, 16 is coefficient. If there is no
number you assume an invisible1.
Term ✔️Can be a single constant, a single, or a number of constants and variables multiplied together.
Algebraic expression ✔️String of terms connected by division, addition, and subtraction.
How to write an algebraic expression ✔️Constants at end. Write terms with the largest exponents first. Always write in descending order of
exponent value with constants at the end.
Inverse operation ✔️Operations that undo each other. Subtraction is inverse of addition. Division is inverse of multiplication.
Like terms ✔️Have the same variable with the same exponent
Degree of an expression ✔️Refers to largest exponent in an expression
Linear ✔️Has degree of 1
Quadratic ✔️Has degree of 2
Cubic ✔️Has degree of 3
Constant ✔️Has degree of 0
Distributive property ✔️Principle used to multiply a single term by multiple terms. If there are parenthesis around multiple terms which are in
turn multiplied by a single term, we can use this property.
Histogram ✔️A graphical representation -- bars, measuring the frequency within each interval
Skewed right ✔️Not a symmetric distribution, the tail is on the right
Measures of center ✔️Median, the mean (and mode)