Two numbers whose sum is 0 are additive inverses of one another. Example 3 and -3 are additive inverses of one another because 3 + (-3) = 0.
A number expressible in the for a or -a for some whole number a.
A number expressible in the form of a/b or -a/b for some fraction a/b. The rational numbers include the integers.
The numbers 0,1,2,3....
a number expressible in the form a/b or -a/b for some fraction a/b. The rational numbers include the integers.
a number expressible in the form a or -a for some whole number a.
a number that does not change.
a mathematical phrase that contains operations, numbers, and/or variables.
To find the value of a numerical or algebraic expression.
expressions having the same value.
a mathematical sentence that shows that two expressions are equivalent.
two numbers whose sum is 0 are additive inverses of one another.
additive identity property of zero
The property that states the sum of zero and any number is that number.
addition property of opposites
the property that states that the sum of a number and its opposite equals zero.
subtraction property of equality
the property that states that if you subtract the same number from both sides of an equation, the new equation will have the same solution.
the property that states if you multiply a sum by a number, you will get the same result if you multiply each addend by that number and then add the products.
addition property of equality
the property that states that if you add the same number to both sides of an equation, the new equation will have the same solution.
multiplication property of equality
the property that states that if you multiply both sides of an equation by the same number, the new equation will have the same solution.
division property of equality
the property that states that if you divide both sides of an equation by the same nonzero number, the new equation will have the same solution.
a mathematical sentence that shows the relationship between quantities that are not equivalent.
an inequality that contains at least one variable.
the set of values that make a statement true.
a mathematical sentence that shows that two expressions are equivalent
the denominator tells how many parts there are in a whole. Within a fraction, the denominator is located below the fraction bar.
the numerator tells how many parts of a whole are being considered. Within a fraction, the numerator is the number located above the fraction bar.
cause to change form
a number expressible in the form a/b where a and b are integers and b is not equal to 0
a decimal in which one or more digits repeat infinitely
a decimal is called terminating if its repeating digit is 0
a decimal is called terminating if its repeating digit is 0.
an amount obtained as a result of adding numbers
a number added to one or more other numbers to form a sum
an amount obtained as a result of subtracting numbers
a number expressible in the form a/b where a and b are integers
a fraction where the numerator is smaller than the denominator
a fraction in which the numerator is greater than or equal to the denominator
a number that has a fraction and an integer
two numbers whose product is 1. . Example 3/4 x 4/3 = 1
Tells how many parts of a whole are being considered. Within a fraction, the numerator is the number located above the fraction bar (top number).
a number expressible in the form a/b or -a/b. Rational numbers include integers.
Two numbers whose sum is 0 are additive inverses of one another.
A denominator that is the same value between two fractions
Fractions that have the same value or fractions that name the same amount. They represent the same part of a whole. When subtracting fractions or mixed numbers, equivalent fractions can be generated using the process of regrouping or renaming.
A number expressible in the form a/b where a and b are integers.
An improper fraction is a fraction in which the numerator is greater than or equal to the denominator.
least common denominator
The smallest whole number that is divisible by each of the denominators.
A mixed number is an integer and a fraction.
The numerator tells how many parts of a whole are being considered. Within a fraction, the numerator is the number located above the fraction bar (top number).
a ratio that compares quantities in different units
an equality of two ratios
Constant of Proportionality
the constant unit rate associated with the different pairs of measurements in a proportional relationship
a rate that has a denominator of 1
a comparison of two quantities by division
a ratio that compares a number to 100
a percent of the cost of an item, which is charged by governments to raise money
the amount of money added to a bill for service; usually a percent of the bill
pay that is equal to a percent of sales
added cost of merchandise to arrive at the selling price of an item
the amount by which a price is decreased
the amount stated as a percent that a number increases or decreases
percentage value that tells how close or how far off a measured (experimental) value is from the predicted (accepted) value.
the value in a situation that is the real, accepted, and true value
the value in a situation that is the experimental or actual value
an amount that is collected or paid for the use of money.
the amount of money deposited, borrowed, or invested.
rate of interest per year (as a decimal). Interest rates are typically expressed as percents, so they must be written as decimals to be used in the formula I = prt.
time, in years, that the money earns interest.
the principal plus the interest
the formula to calculate simple interest is I = prt, where I is the interest, p is the principal, r is the interest rate per year, and t is the time in years.
A part of a line. It has exactly one endpoint
A figure formed by two rays with a common endpoint
Corner or intersection of geometric points
One of the rays forming the exterior of an angle or polygon
An angle that measures 90 degrees
An angle that measures less than 90 degrees
An angle that measures more than 90 degrees but less than 180 degrees
An angle that measures 180 degrees
Two angles whose sum is 90 degrees
Two angles whose sum is 180 degrees
Angles that have the same measure
Angles that share a vertex and a side but no points in their interiors
Angles formed by two intersecting lines and are opposite each other. Vertical angles are congruent.
A three sided polygon
A triangle with three congruent sides
A triangle with two congruent sides
A triangle with no congruent sides
A triangle containing a right angle
A triangle with all angles measuring less than 90 degrees
A triangle containing one obtuse angle
a parallelogram with four right angles and four congruent sides
a parallelogram with four right angles
a quadrilateral with both pairs of opposite sides parallel
a quadrilateral with exactly one pair of parallel sides
a polygon with three sides
a parallelogram with four congruent sides
the distance around the figure
the number of square units it encloses
the set of all points in a plane that are equidistant from a given point, called the center
a segment whose endpoints are on the circle
a chord that passes through the center of the circle
a segment that has one endpoint at the center of the circle and the other endpoint on the circle
the distance around a circle. You calculate the circumference of a circle by multiplying the diameter by π
Figures whose corresponding sides are proportional and corresponding angles are congruent
Sides or angles that lie in the same location on different figures
An equality of two ratios
The ratio used to enlarge or reduce similar figures. The scale factor comes from simplifying the ratio between two corresponding parts
A proportional model of a three-dimensional object. The model's dimensions are related to the dimensions of the actual object by a ratio called the scale factor.
The ratio between two sets of measurements. Scales can use the same units or different units.
A three dimensional figure with two parallel bases that are congruent polygons, and lateral faces that are parallelograms. A prism is named for the shape of its base.
the sum of the areas of the base(s) and the lateral faces of a space figure
the number of cubic units needed to fill a three-dimensional figure
a space figure with triangular faces that meet at a vertex, and a base that is a polygon. A pyramid is named for the shape of its base.
The two-dimensional face that is the result of a three-dimensional shape being intersected by a plane.
Values such as counts, ratings, measurements, or opinions that are gathered to answer questions.
A quick, simple way to organize data along a number line where the X's (or other symbols) above a number represent how often each value is mentioned
A value that represents the "evening out" of the values in a set of data
Measures of Center
Establish a central location in the data set
Measures of Variability
Establish the degree of variability (or scatter) of the individual data values and their deviations from the measures of center
The number that is the midpoint of a set of data
The data value that occurs the most
The difference between the least value and the greatest value in a data set
The practice of collecting and analyzing data in large quantities
a group of things or persons close together
The arrangement of values in a data set
A list of items or intervals that shows the number of times, or frequency, with which they occur.
a break or opening
A display that shows the distribution of numeric data. The range of data values, divided into intervals, is displayed on the horizontal axis. The vertical axis shows frequency.
is a set of real numbers with the property that any number that lies between two numbers in the set is also included in the set
being at the point of maximum frequency, intensity, use, etc.
a method of visually displaying a distribution of data values by using the median, quartiles, and extremes of the data set. A box shows the middle 50% of the data
The minimum, value, lower quartile, median, upper quartile, and maximum value
a measure of variation in a set of numerical data, the inter-quartile range is the distance between the first and third quartiles of the data set
for a data set with median m, the first quartile is the median of the data values less than m
The greatest value in a data set
The lowest value in a data set
a value that lies far from the "center" of a distribution
one of the values of a variable that divides the distribution of the variable into four groups having equal frequencies
for a data set with median m, the third quartile is the median of the data values greater than m
Mean Absolute Deviation
The average distance of all data values from the mean of the set
Degree to which data are spread out around a center value
A sample in which every member of the population has an equal chance of being included in the sample. Random sampling is the best way to produce a representative sample that will support valid inferences.
Measures of Center
Mean, median, and mode
The difference between the maximum and minimum values in a distribution
Values significantly higher or lower than the other data values in a data set.
A possible result.
A number between 0 and 1 that describes the likelihood that an outcome will occur.
A probability that is determined through experimentation.
A probability obtained by analyzing a situation.
A diagram used to determine the number of possible outcomes in a probability situation.
The number of points (or dollars or other objects of value) a player in a game receives for a particular outcome.
A diagram in which fractions of the area of the diagram correspond to probabilities in a situation.