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Hands On: Model the Distributive Property











































Distributive Property

   • Demonstrate how the distributive property works

           to simplify an expression containing parentheses to an expression without parentheses using multiplication

   • show the partial products for each and find the sum.

   • write a multiplication sentence for each.

Comments for Hands On: Model the Distributive Property

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Oct 19, 2012
Model the Distributive Property
by: Staff



Answer


The Distributive Property combines the following two operations in mathematics: multiplication and addition . It is formally defined as "the distribution of multiplication over addition".

It is used to simplify an expression containing parentheses to an expression without parentheses.


Four examples of how the distributive property is used:

         i. parentheses containing variables multiplied by a constant

                  3(a + b) = 3*a + 3*b = 3a + 3b

multiplication sentence: three times (a plus b).

         ii. parentheses containing variables multiplied by a variable

                  y = x(a + b) = x*a + x*b = ax + bx

multiplication sentence: x times (a plus b).

         iii. parentheses containing numbers multiplied by a number

                  3(20 + 5) = 3*20 + 3*5 = 60 + 15

multiplication sentence: three times (20 plus 5).


         iv. Using exponents


4m²(2m² - m³)

= 4m² * 2m² - 4m² * m³)

= 4*2*m⁽²⁺²⁾ - 4*m⁽²⁺³⁾

= 4*2*m⁴ - 4*m⁵

= 8m⁴ - 4m⁵



Thanks for writing.

Staff
www.solving-math-problems.com



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