Explanation:
In mathematics,
and in particular in abstract
algebra, distributivity is a property of binary operations that generalizes the distributive law from elementary
algebra. For example:
2 × (1 + 3) = (2 × 1) + (2 × 3).
4(8+2) = (4×8) + (4×2) because
4(8 + 2) = 4(10) = 40
(4×8) + (4×2) = 32 + 8 = 40
(Our solved example in mathguru.com uses
this concept)
In the
left-hand side of the above equation, the 2 multiplies the sum of 1 and 3; on
the right-hand side, it multiplies the 1 and the 3 individually, with the
results added afterwards. Because these give the same final answer (8), we say
that multiplication by 2 distributes over addition of 1 and 3. Since we could have put any real
numbers in place of 2, 1, and 3 above,
and still have obtained a true equation, we say that multiplication of real numbers distributes over addition of real numbers.
http://en.wikipedia.org/wiki/Distributive_property
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