What is Distributive Property?

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Distributive Property

Distributive property refers to a deep principle in math that helps it work. It is a rule that enables one stretch parenthesis and it is critical that anyone who wants to improve their ability to simplify expressions must understand. Expressions refer to phrases that are mathematical. Generally, there are two common kinds of expressions in math, these are algebraic and numerical. While algebraic expressions contain variables, numeric expressions contain operations and numbers. Distributive property is an important algebra feature that helps simplify multiplication. Algebra properties include commutativity which states that shifting the order in which computation happens does not influence the final result. Commutativity is mostly applied in multiplication and addition though it may also be used in division in some occasions.

Applying Distributive Property

Distributive property enables multiplication to take place across parentheses. It also allows fast multiplication between big numbers. It does this by breaking them up into sums of lesser numbers that are easier to multiply. This happens when terms placed outside the parentheses are distributed across terms within the parentheses. Operations within the parentheses should only be subtractions or additions while operations outside of the parentheses have to be by division or multiplication only to enable application of distributive property. With distributive property, you can simplify and solve algebras such as 2(3x+2) by multiplying the number with the parenthesis set. A common mistake that is often made is failing to distribute terms located outside the parenthesis across all terms located inside the parentheses. It is important to always remember that signs should also be distributed equally throughout the parenthesis. Generally, distributive property is an easy to learn concept. With practice, it becomes second nature to a learner. All that one has to remember is that only specific features are distributive. That is multiplication is distributed across subtraction and addition, division doesn’t.

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