# Math Vocabulary - D

Word Definition Examples
Data Numbers collected for use in statistics and other forms of problem solving.

Data can be qualitative (yes/no, true/false) or quantitative(numbers).

Data can be in lists, tables, graphs, charts, and many other ways.
Decimals A number written with place value instead of fractions or mixed numbers. Also used to approximate irrational numbers. See repeating decimals, truncated decimals , and non-repeating decimals.

2.25 = 2 ¼
decimal    fraction

Deductive reasoning A method of reasoning logically from given facts, rules, definitions, or properties to a conclusion.

According to Wikipedia, "Deductive reasoning links premises with conclusions. If all premises are true, the terms are clear, and the rules of deductive logic are followed, then the conclusion reached is necessarily true."

All oranges are fruits
All fruits grow on trees
Therefore, all oranges grow on trees
Degree of a monomial The sum of the exponents of all its variables 3x5y2 is 5 + 2 or 7th degree
Degree of a polynomial (single varable) For a polynomial with only one variable, the highest degree of any of its terms The biggest positive exponent 4x5 + 3x2 - 8 is fifth degree
Degree of a polynomial (multiple varables) For a polynomial with more than one variable, the highest degree of any of its terms 4x5y2 + 3x2y2 - 8
is 7th degree because the first term is degree 7 (5 + 2), the second term is degree 4 (2 + 2), and the number term is degree zero (no exponents).
Delta Δ δ Greek letter frequently used to represent variables that change. Capital Δ usually represents a larger change (like slope) and small δ is a small change (used in physics and calculus).

When you see something like ΔA , it can be read as change in A.

Dependent events In probability, when the outcome of one event affects the outcome of a second event, the events are dependent The probability of getting 2 heads in a row when you flip coins depends on if you get a head on the first toss.
Dependent variable A variable that relies on the value of another variable For y = x + 2, the value of y depends on the value of x

For f(d) = 5t + 10, the value os f(d) depends on the value of t

Derivative In Calculus, the formula for slope of a graph at any point on the graph. The process of finding the derivative is called differentiation.

In algebra, we find the slope of a line and the slope is a constant. The slope (derivative) of a curve is always changing because the curve is not straight.

Diameter In a circle, any segment that contains the center of the circle and has both endpoints on the circle.

Difference of two squares A quadratic binomial of the form a2 - b2, it factors to
(a + b)(a - b)
Perfect square minus a perfect square x2 - 9
4x2 - 25
Dilation A transformation in which a figure is made larger or smaller, but not moved.
Direct variation A linear function of the form y = kx,
where k ≠ 0

A straight line that passes through (0,0) with slope k

A line where one variable equals a constant times the other variable. y = 5x
y = -2x
Discrete Data Involves a count of data items Things that can be counted heart beats in a minute or
daily temperature at noon
Discontinuous Function A graph of a function that has jumps, holes or breaks.

It cannot be graphed without lifting your pencil.

• if the discriminant is positive the equation has 2 real solutions
• if the discriminant = zero there is 1 real solution
• if the discriminant is negative there are 2 imaginary solutions
Distance Formula Using the Phythagorean Theorem to find the distance between two points on a coordinant grid)
Distributive property For all real numbers a, b, and c:
a(b + c) = ab + ac
a(b - c) = ab - ac
Multiply everything inside the parenthesis by the thing in front of the parentheses 5(x + 2) = 5x + 10
4(x - 2) = 4x - 8
Divisible A number that can be divided by a whole number with no remainder

125 id divisable by 5 because the answer is exactly 25

See Divisibility Rules
Domain The set of all possible input values - the independent variable in a function. For functions in x and y, the possible x values are the domain. For y = 2x + 6, the domain is all real numbers

For y = 7/x, the domain is all real numbers except 0 because you can't divide by zero

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Last Updated: 06/26/2014