a This property allows you to multiply a sum by a factor through multiplying each addend separately.
B
b Changing the grouping of the terms does not change the sum.
A
a The Distributive Property
B
b The Associative Property of Addition
Practice makes perfect
a To identify the Property of Real Numbers being demonstrated by the given equation, we should first identify the operation being performed.
a(b+c)= ab+ ac
In this case, the product of a number and a parenthetical factor is equal to the sum of the products of the number and each term inside the parentheses. This is the Distributive Property.
b To identify the Property of Real Numbers being demonstrated by the given equation, we should first identify the operation being performed.
(a+b )+c=a+ (b+c )
In this case, the terms are being added. The equation shows that changing the grouping of the terms being added does not change the sum. This is the Associative Property of Addition.
