"Distributivity" Pronounce,Meaning And Examples

"Distributivity" Natural Recordings by Native Speakers

Distributivity

"Distributivity" Meaning

Distributivity is a property of binary operations in mathematics that states that when a binary operation is applied to a sum (or difference) of two or more terms, it can be applied separately to each term, and the results can be added (or subtracted) together. In other words, distributivity allows us to expand expressions of the form:

a (b + c) ab + ac

or:

a (b - c) ab - ac

This property applies to various mathematical operations, including addition, multiplication, and subtraction, and is a fundamental principle in algebra and other branches of mathematics.

"Distributivity" Examples

Examples of Distributivity:

Example 1: Multiplication over Addition

The distributive property helps us expand an expression with parentheses. For instance:

2(x + 3) 2x + 2(3)

In this example, 2 is distributed over x and 2 is distributed over 3.

Example 2: Multiplication over Subtraction

The distributive property also works when there's a subtraction within the parentheses:

3(x - 2) 3x - 3(2)

Again, 3 is distributed over x and -3 is distributed over 2.

Example 3: Distributing a Single Term

What if the expression inside the parentheses is a single term? The distributive property still applies:

4(5x) 20x

In this case, 4 is distributed over the entire term 5x, resulting in 20x.

Example 4: Distributing with Multiple Terms

The distributive property can also be applied to expressions with multiple terms:

2(3x + 4) 6x + 2(4)

Here, 2 is distributed over 3x and 2 is distributed over 4, resulting in 6x + 8.

Example 5: Solving Real-World Problems

The distributive property is frequently used in real-world problems, such as calculating the area of a rectangular prism:

A 2(3x + 2) 6x + 2(2) 6x + 4

By applying the distributive property, we can expand the expression and solve for the area.

"Distributivity" Similar Words

Distributes

To distribute something means to share or divide it among a group of people, often according to a set of rules or a specific plan. It can also mean to spread or scatter something over a wide area, or to give out multiple copies of something to many people. For example: "The company will distribute the profits equally among its employees." or "The seeds will distribute throughout the forest."

Distributing

The word "distributing" is a present participle verb form, derived from the verb "distribute". It means to divide or share something, such as goods, resources, or information, among a group of people or places. In a wider sense, it can also refer to the act of spreading or broadcasting something, like a message, idea, or product, to a large audience.

Distribution

Distribution refers to the act of spreading or disseminating something, such as goods, materials, information, or knowledge, over a certain area or population. It can also refer to the way in which something is spread out or arranged, such as the distribution of wealth, education, or health services.

Distributional

Distributionist

Distributionist refers to a political or economic philosophy that emphasizes the distribution of wealth, resources, or power within a society. In essence, it argues that the distribution of goods and services should be more equitable and just, rather than concentrated among a few individuals or groups.

Distributions

Distributions refer to the ways in which something, such as goods, resources, or tasks, is allocated or divided among a group of people or entities. In a broad sense, distributions can also refer to the statistical patterns or frequencies of certain characteristics or events within a population. In the context of science and mathematics, distributions can describe the probability of a value or values occurring within a range or distribution. For example, the normal distribution is a common statistical distribution that describes the way data tends to cluster around the mean value.

Distributive

The word "distributive" refers to something that involves distributing or spreading out something, such as a quantity, a quality, or an action, among several parts or individuals. In mathematics, a distributive property is a rule that allows us to expand and simplify algebraic expressions by "distributing" multiplication over addition. In a broader sense, distributive can also refer to things that are shared or divided among a group, such as distributive justice, which is a concept in ethics that argues that resources should be distributed equally or fairly among individuals or groups. In social sciences, distributive bargaining is a negotiation strategy where parties distribute rewards or penalties among each other in order to reach an agreement.

Distributively

The verb "distribute" means to share or scatter something, such as goods or information, among a group of people or places. In a more formal sense, "distribute" can also mean to allocate or assign something, such as tasks or responsibilities, to specific individuals or groups. The adjective "distributive" generally refers to the act or process of distributing something, or can describe something that is characterized by this process. In mathematics, a distributive property is a property of certain operations that allows for the distribution of one operation over another. In the context of distributively, it is often used in the context of economics, where it refers to the distribution of resources, wealth, or income among a population. For example, a government might implement policies that aim to distribute wealth more evenly throughout the country. In a broader sense, distributively can also be used to describe the act of spreading or spreading out something, such as information, resources, or ideas.

Distributor

A distributor is a person or organization that supplies goods or products to retailers, wholesalers, or consumers. They can also be responsible for marketing, selling, and shipping products to customers on behalf of a manufacturer or a producer. In addition, a distributor can act as an intermediary between the supplier and the customer, handling logistics, storage, and customer service.

Distributors

Distributors are organizations or individuals that help other businesses or manufacturers to get their products to the end consumers. They often act as intermediaries between the producer and the customer, storing and transporting the products, and managing the sales and marketing efforts. Distributors can be wholesalers, retailers, or online retailers, and they play a crucial role in getting products to the market and helping businesses to grow.

Distributorship

Distributorship refers to the act of distributing goods or products to customers or retailers through a network of distributors. A distributorship is typically established between a manufacturer or supplier and a distributor, who agrees to purchase a quantity of products at a wholesale price and then resell them to retailers or consumers at a markup. The distributor is responsible for managing the logistics of the distribution process, including storage, shipping, and inventory management.

District

A district is a defined area of a city, town, or country, often with its own government or administration. It may be a geographic area with distinct boundaries, often characterized by a particular feature, such as a river, mountain, or landmark, or a area with a specific purpose, such as a commercial or industrial district.

Distriction

I think you meant "distinction". A distinction is a clear and notable difference or distinction between two things, often implying a superiority or excellence of one over the other. For example, "The new smartphone model got a distinction in terms of its advanced camera features."

Districts

Districts are geographic areas that are typically defined and administered by a local government or other authority. They are often used to divide a larger area, such as a city, county, or state, into smaller regions for administrative or organizational purposes.

Distrust

Distrust is a noun that means a lack of confidence or trust in someone or something. It refers to a feeling of uncertainty or doubt about someone's intentions, reliability, or honesty.

Distrusted

Not able to trust someone or something; lacking confidence or faith in someone's or something's integrity, intentions, or reliability.