# Distributive Property Examples

## Problems related to Distributive Property with Fractions

Distributive property works well with fractional numbers. Here's an example of **Distributive property With Fractions**.

(i) Find the value of x in the expression (x+7) * (5/7)=10:

Applying distributive property to above equation, we have (5x/7) + (7 * 5 / 7) =10

=> (5x/7) + 5 = 10 or (5x/7) = 5, Solving it we have x=7

Now putting 7 in the original equation, we have (7 + 7) * (5/7) = 14 * 5 /7 = 10. Thus the result is verified.

**Problems related to Distributive Property with Variables:**

** Distributive property with Variables** involves use of various variables in the property. The property remains same provide that multiplication and addition/subtraction is used at appropriate places. **Example of distributive property** involving variables is given below.

(ii) Find the product of 3x(x*2* - 2x +1):

Applying distributive property to above equation, the obvious answer is 3x*3* - 6x*2* +3x.

**Problems related to Distributive Property for Real Numbers:**

** **Distributive Property for Real Numbers applies to both product of sum as well as difference of numbers. Here are **Examples of distributive property** with numbers.

(iii) Find product of 35 and 25:

Let's use both addition and difference in the distributive property. Than we have

35 * 25 =(30+5) * (30-5) = (30+5)*30 – (30+5)*5 = 30*30 + 5*30 - 30*5 – 5*5 =900-25 = 875. Thus we have used property for summation as well as difference in the same equation and got the solution to it.

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