Verification of Distributive Property
To verify the Distributive Property, we need to check if the values on both Left Hand Side and Right Hand Side of the expression. Let’s see the verification of the Distributive Property of Multiplication over Addition and the Distributive Property of Multiplication over Subtraction one by one.
Verification of Distributive Property of Multiplication over Addition
Let’s verify if, 15(6 + 5) = 15 ⨯ 6 + 15 ⨯ 5.
We have LHS = 15(6 + 5)
Using BODMAS Rule we will first solve the bracket.
⇒ 15(6 + 5) = 15 ⨯ 11 = 165
Hence, we have LHS = 165
We have RHS = 15 ⨯ 6 + 15 ⨯ 5
⇒ 90 + 75 = 165
Hence, RHS = 165
Thus we see that we have LHS = RHS. Hence, 15(6 + 5) = 15 ⨯ 6 + 15 ⨯ 5. Thus Distributive Property of Multiplication over Addition is verified.
Verification of Distributive Property of Multiplication over Subtraction
Distributive Property of Multiplication over Subtraction is given as P(Q – R) = PQ – PR. Let’s check if it’s true or not using an example.
Let’s verify if 6(30 – 9) = 6⨯30 – 6⨯9.
We have LHS = 6(30 – 9)
Solving bracket first using BODMAS Rule,
⇒ 6 ⨯ 21 = 126
We have RHS = 6⨯30 – 6⨯9
⇒ 180 – 54 = 126
Hence, we have LHS = RHS, it means 6(30 – 9) = 6⨯30 – 6⨯9. Thus Distributive Law of Multiplication over Subtraction is verified.
Distributive Property
Distributive Property in Maths as the name suggests refers to the distribution of the number over the other operations. It is usually called the Distributive Law of Multiplication over Addition and Subtraction as the number which is to be distributed over addition or subtraction is in multiple of the sum or difference of the numbers.
In this article, we will learn about the distributive property in detail along with its definition, formula, and distributive property of multiplication over addition and subtraction.
Table of Content
- What is Distributive Property in Maths?
- Distributive Property Formula
- Distributive Property of Multiplication
- Distributive Property of Multiplication over Addition
- Distributive Property of Multiplication over Subtraction
- Verification of Distributive Property
- Distributive Property of Division
- Steps to Use the Distributive Property
- Distributive Property Examples