Distributive Property


 
 
Concept Explanation
 

Distributive Property

Distributive Property:

Distributivity of Multiplication over Addition: 

  The multiplication of rational numbers is distributive over their addition.

That is, if

    frac{a}{b};,frac{c}{d};and ; frac{e}{f} 

are any three rational numbers, then

frac{a}{b}times left ( frac{c}{d}+frac{e}{f} right )=frac{a}{b}times frac{c}{d}+frac{a}{b}times frac{e}{f}

Illustration: Consider any three rational numbers, say,   frac{2}{3},frac{-3}{5}andfrac{7}{10}.

We have,

  L.H.S.=frac{2}{3}times left ( frac{-3}{5}+frac{7}{10} right )

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Sample Questions
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Question : 1

7(a + 2) = 7a + 14,   this is best explained by which of the following property?

Right Option : B
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Question : 2

This math property states that the sum of two rational numbers multiplied by a number is the sum of the product of each rational number and the number. For example: 4(1/2 + 3/5) = (4 x 1/2) + (4 x 3/5) = _____________________________

Right Option : D
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