I am not understanding what is distributive property

Hi!

Here is the answer to your query.

Suppose we have three whole numbers

*a*,*b*, and*c*.**Distributive property:**

*a*× (

*b*+

*c*)

*= a*×

*b*+

*a*×

*c*

**(Distributive property for multiplication over addition)**

*a*× (

*b*–

*c*)

*= a*×

*b*–

*a*×

*c*

**(Distributive property for multiplication over subtraction)**

*a*× (

*b*+

*c*)means that first of all we need to add

*b*and

*c*, then this result is multiplied with

*a*.

*a*× (

*b*–

*c*)means that first of all we need to subtract

*c*from

*b*, then this result is multiplied with

*a*.

Example:

Let us take

*a*= 5,*b*= 19 and*c*= 27.According to

**distributive property**of integers the value of the expression 5 × (19 + 27) must be equal to the expression 5 × 19 + 5 × 27 and the value of the expression 5 × (27 – 19) must be equal to the value of the expression 5 × 27 – 5 × 19.These can be verified as,

5 × (19 + 27) = 5 × 46 = 230

5 × 19 = 95 and 5 × 27 = 135

∴ 5 × 19 + 5 × 27 = 95 + 135 = 230

Thus, 5 × (19 + 27) = 5 × 19 + 5 × 27

In the similar manner, it can be verified that 5 × (27 – 19) = 5 × 27 – 5 × 19.

Cheers!

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