Distributive property of Multiplication and Addition


 
 
Concept Explanation
 

Distributive property of Multiplication and Addition

Distributive property of Multiplication and Addition:

The distributive property is usually first approached by students when they start advanced multiplication problems, meaning when adding or multiplying, you have to carry a one. This can be problematic if you have to solve it in your head without working the problem out on paper. In addition and multiplication, you take the larger number and round it down to the nearest number that is divisible by 10, then multiply both numbers by the smaller number. For example:

36 × 4 = ?

This can be expressed as:

4 × (30 + 6) = ?

Which allows you to use the distributive property of multiplication and answer the question as follows:

(4 × 30) + (4 × 6) = ?

120 + 24 = 144

Sample Questions
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Question : 1

Which of the following is correct and follows distributive property of 21 X 6?

Right Option : A
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Question : 2

Find the product of 475 X 102 ?

Right Option : B
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Question : 3

Find the product using distributive property :  149 X 70 + 149 X 20 + 149 X 10  :

Right Option : C
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