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For example, (10 + 2) / 2 = (10 / 2) + (2 / 2). This works if the added terms are on the left side of the division side (or the numerator of a fraction).
Consider the distribution of multiplication over addition to be the fundamental rule; if you convert the division above to a multiplication, and later you convert the multiplication back to a division, it should be clear why the distributive property works in this case:
(10 + 2) / 2 = (10 + 2) x (1/2) = (10 x 1/2) + (2 x 1/2) = (10 / 2) + (2 / 2)
Please note that it does NOT work the other way round, that is, if the added terms are on the right of the division sign (denominator of a fraction).
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What is the distributive property of 89?
Numbers do not have a distributive property. The distributive property is an attribute of one arithmetical operation over another. The main example is the distributive property of multiplication over addition.
What is the distributive property in addition?
The distributive property OF MULTIPLICATION over addition is a*(b + c) = a*b + a*c for any numbers a, b and c.
Is addition distributive over multiplication?
No. But multiplication is distributive over addition. This means that for any numbers A, B, and C A x (B + C) = (A x B) + (A x C). If addition were distributive over multiplication, that would mean that A + (B x C) = (A + B) x (A + C) which is not true.
What is the distributive property for multiplication?
The distributive property of multiplication over addition states that a*(b + c) = a*b + a*c
What combines multiplication and addition by multiplying each addend by the number and adding the products?
The distributive property of multiplication over addition.
