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Distributive Rule Of Multiplication Over Addition And Subtraction
The Distributive Property is an algebraic property that is used to multiply a single value and two or more values within a set of parenthesis. The distributive Property States that when a factor is multiplied by the sum/addition of two terms, it is essential to multiply each of the two numbers by the factor, and finally perform the addition operation. This property can be stated symbolically as:
Distributive law of multiplication is also known as Distributive property. it’s one of the most commonly used properties in mathematics. When you distribute something, you are dividing it into parts. In math, the distributive property helps simplify difficult problems because it breaks down expressions into the sum or difference of two numbers.Looking for a specific operation.
For expressions in the form of a(b+c), the distributive property shows us how to solve them by:
- Multiplying the number immediately outside parentheses with those inside
- Adding the products together
Distributive property of multiplication over addition
Regardless of whether you use the distributive property or follow the order of operations, you’ll arrive at the same answer. In the first example below, we simply evaluate the expression according to the order of operations, simplifying what was in parentheses first.
Using the distributive law, we:
- Multiply, or distribute, the outer term to the inner terms.
- Combine like terms.
- Solve the equation.
Distributive property of multiplication over subtraction
Similar to the operation above, performing the distributive property with subtraction follows the same rules — except you’re finding the difference instead of the sum.
Note: It doesn’t matter if the operation is plus or minus. Keep whichever one is in the parentheses.