Arithmetic and Statistics

a combination of a whole number and a proper fraction

When working with measurements, such as lengths or amounts, we often encounter mixed numbers instead of whole numbers.

a number greater than 1 with only two devisors which can be itself or 1

7 is a prime number because its only divisors are 1 and 7.

a number that can be written as a fraction, where both the top and bottom are whole numbers, and the bottom is not zero

3/4 is a rational number because it can be written as a fraction of two integers.

a number incapable of being expressed as a ratio of two integers

The square root of 2 is an irrational number.

a number that has both a real part and a part involving a unit that, when squared, gives a negative result

Multiplying a complex number by its conjugate results in a real number.

any number that can be found on the number line, including both positive and negative numbers, zero, and fractions

The number 5 is a real number because it can be located on the number line.

any positive number without fractions or decimals, including zero

The numbers 0, 1, 2, 3, and so on are all whole numbers.

any number without fractions or decimals, including positive numbers, negative numbers, and zero

The numbers -3, 0, and 7 are all integers.

a number obtained by dividing one integer or rational number by another, typically written in the form a/b

One-half (1/2) is a simple fraction.

a number expressed in the base-10 system

42 is a decimal number.

a fraction where the the top number is greater than or equal to the equal to the bottom number

To compare improper fractions, you can convert them to decimal form.

to have a particular meaning or represent something

His silence meant that he was not interested in the conversation.

having the quality of being divided, especially by a number

the underground part of a plant that absorbs water and minerals, sending it to other parts

She carefully planted the new tree, ensuring that its roots were well spread out in the hole to encourage healthy growth.

a line of mountains or hills

The Rocky Mountain range stretches from Canada down to New Mexico, offering breathtaking vistas and challenging climbs.

a shape with four equal straight sides and four right angles, each measuring 90°

Each tile on the bathroom floor was a small square shape.

calculated by adding a set of numbers together and dividing this amount by the total number of amounts in that set

His average score in math class is 85%.

a mixture of different liquids

Many cleaning products are solutions that mix different liquids for better effectiveness.

something that is created or grown for sale

The bakery's best-selling product is its freshly baked bread.

the result obtained by dividing one quantity or number by another, expressed as the outcome of a division operation

In the division problem 12 ÷ 4, the quotient is 3.

to break down a number or expression into smaller parts that multiply together to produce the original number or expression

Factoring 12 gives you 2 × 2 × 3.

the worth of something in money

He estimated the value of his car before selling it.

a situation where there is a lack of fairness or equal treatment between individuals or groups

(mathematics) a statement indicating the equality between two values

In algebra, solving equations involves finding the values of variables that satisfy the equality stated.

having the least or smallest amount possible

The minimum requirement for admission to the program is a bachelor's degree.

a mathematical expression where a number is multiplied by itself a certain number of times determined by a variable

In population studies, the growth can often be modeled by an exponential.

involving lines or having the shape of a straight line

During the hike, the trail cut straight through the forest in a clean, linear path toward the peak in the distance.

the constant ratio between consecutive terms

In the geometric sequence 2, 6, 18, 54, ..., the common ratio between consecutive terms is r=3.

a number that is a multiple of two or more given numbers

The smallest common multiple of 4 and 5 is 20.

a number that divides exactly into two or more given numbers without leaving a remainder

The common factors of 12 and 18 include 1, 2, 3, and 6.

an attribute that is common to all members of a category

the smallest positive integer that is a common multiple of the denominators of two or more fractions

Finding the least common denominator is a crucial step in solving problems that involve multiple fractions.

(mathematics) a number representing the chances of something specific happening

The probability of rolling a six on a fair die is one-sixth.

to guess the value, number, quantity, size, etc. of something without exact calculation

I estimate that there are about 100 people at the party.

a sequence of numbers in which the difference between any two consecutive terms is constant

In the arithmetic sequence 2, 5, 8, 11, 14, ..., each term increases by 3, which is the common difference.

the specific number of waves that pass a point every second

In physics, frequency is measured in hertz, which represents the number of waves passing a point per second.

the process of supplying shops and other businesses with products to be sold

The company improved its distribution network to ensure products reach stores faster.

related to the middle value in a set of numbers or the line connecting a vertex of a triangle to the midpoint of the opposite side

The median household income is a common measure of income distribution.

a particular method or way in which something is done or occurs

The system has a manual mode for advanced users.

having or involving two distinct modes, peaks, or most frequent values

The bimodal distribution of exam scores indicated two groups of students with different performance levels.

a measure of how much the values in a set typically differ from the average

A low standard deviation indicates that the data points are close to the mean.

the range within which the true value is expected to fall, accounting for potential inaccuracies in measurement or sampling

The poll results have a margin of error of ±3%, indicating the possible range of true public opinion.

chosen, done, or happening by chance and without any particular plan, method, or purpose

He found a random book on the shelf that turned out to be quite interesting.

a straight line drawn through a set of data points on a graph to represent the general direction or pattern of the data

The trend line on the stock chart indicates a steady increase in prices over the past year.

a type of statistical chart consisting of dots that represent individual data points

The teacher used a dot plot to show the distribution of test scores in the class.

a mathematical representation that describes the relationship between two or more variables using a linear equation

The linear model y=2x+3 suggests that for every unit increase in x, y increases by 2.