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The property that multiplication is distributive over addition means that

a*(b+c) = (a*b) + (a*c)

The usufulness of this property can be illustrated by the following example:

8*(102) = 8*(100+2) = (8*100) + (8*2) = 800 + 16 = 816.

So if you split 102 into 100 and 2, and then use the distributive property, you do not need to work with a large number such as 102.

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Q: Examples of distributive property of multiplication?
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