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Home >> Distributivity of Multiplication over Addition >>

## Distributivity of Multiplication over Addition

 If I ask you to solve (5 X 13), you can easly calculate and say answer is 65 (method 1). The above problem can also be solved : (5 X 13) = 5 X ( 10 + 3 ) And further 5 X ( 10 + 3 ) = ( 5 X 10 ) + (5 X 3) Solve R.H.S and we get = 50 + 15 = 65 (method 2) Now the answer in both method 1 and method 2 is same i.e 65. Method 2 is referred to as "Distributivity of Multiplication over Addition" Method 2 is normally used when the multiplication is complex like the following : Example 1 = Solve (25 X 52) Answer = By using property - Distributivity of Multiplication over Addition, we get = 25 X ( 50 + 2) = (25 X 50) + (25 X 2) = 1250 + 50 = 1300 Example 2 = Simply (332 X 48) + (332 X 52) with the help of Property - Distributivity of Multiplication over Addition Answer = (332 X 48) + (332 X 52) By using property - Distributivity of Multiplication over Addition, we get = 332 X ( 48 + 52) = 332 X 100 = 33200

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