What does distributive property mean?

Answer

The distributive property is a mathematical and algebraic property that says that multiplying two numbers is the same as multiplying one of those numbers by the sum of the other number's parts. In arithmetic, 50 x 45 is equal to (50 x 40) + (50 x 5). In algebra, the property is shown as x(y + z) = xy + xz.

Using the distributive property in this way helps such number problems to be solved quickly and often without pen and paper. In using the distributive property algebraically, the number on the outside of the parentheses applies to all numbers inside the parentheses.

In the above example, x(y + z) = xy + xz, the variable x is multiplied by both variables in the parentheses, which are y and z. The sign inside the parentheses indicates whether addition or subtraction then occurs. If the equation reads, x(y - z), then the distributive property indicates the equivalent is xy - xz.

If x equals 2, y equals 7 and z equals 5, then:

2(7 + 5) = (2 x 7) + (2 x 5) = 14 + 10 = 24

and

2(7 -5) = (2 x 7) - (2 x 5) = 14 - 10 = 4

1 Additional Answer
Ask.com Answer for: what does distributive property mean
distributive property
NOUN
1.
Mathematics the property that terms in an expression may be expanded in a particular way to form an equivalent expression.
Source: Dictionary.com
Explore this Topic
A math property is an algebraic function in mathematics. Properties of math can be cummutative, associative or distributive. Basically, it deals with the logic ...
According to Reference Dictionary, distribution is a noun that means an act or instance of distributing something. It can also mean an act of giving or delivering ...
The distributive property works with fractions in the same way it works with whole-number coefficients. The distributive property states that a*(x + y) = a*x + ...
About -  Privacy -  Careers -  Ask Blog -  Mobile -  Help -  Feedback  -  Sitemap  © 2014 Ask.com