Identify the property in the following:
1) 49 x 6 = 6 x 49 →
2) (17+6)+7 = 17+(6+7) ►
3) 78 x (102-2) = (78x102) - (78x2)
4) a + 0 = a=0 + a
Answers
Answer:
Associative, Commutative, and Distributive Properties
Learning Objective(s)
· Identify and use the commutative properties for addition and multiplication.
· Identify and use the associative properties for addition and multiplication.
· Identify and use the distributive property.
Introduction
There are many times in algebra when you need to simplify an expression. The properties of real numbers provide tools to help you take a complicated expression and simplify it.
The associative, commutative, and distributive properties of algebra are the properties most often used to simplify algebraic expressions. You will want to have a good understanding of these properties to make the problems in algebra easier to work.
The Commutative Properties of Addition and Multiplication
You may encounter daily routines in which the order of tasks can be switched without changing the outcome. For example, think of pouring a cup of coffee in the morning. You would end up with the same tasty cup of coffee whether you added the ingredients in either of the following ways:
· Pour 12 ounces of coffee into