Write an algebraic expression that requires each of the following properties of real
numbers to simplify, in the order given: the Distributive Property, the Associative
Property of Addition, the Commutative Property of Addition, and the Distributive
Property. Simplify the expression showing the use of each property.
i don't understand this at all can somebody give me an example of this?
Me either. No expression requires the associative/commutative property to simplify it.
A.P means that (2+3)+4 = 2+(3+4) but you don't need it to evaluate.
C.P. means that 3+4 = 4+3 but you don't need it.
The only one you need to evaluate an expression is the D.P., so you can say
(2+3)(4) = 2*4 + 3*4 = 6+12 = 18
so (2+3)(4)=2*4+3*4=6+12=18
would be a possible answer to this question?
jhy
Which expression is equivalent To 7(9+4) by the Distributive property
wsu
Certainly! I can provide an example to help you understand this concept.
Let's consider the following expression: (3x + 4) + (2x - 5).
To simplify this expression using the properties mentioned, we will follow these steps:
Step 1: Distributive Property
Apply the Distributive Property to simplify the expression within each set of parentheses:
3x + 4 becomes 3x + 4,
2x - 5 becomes 2x - 5.
The expression now becomes: 3x + 4 + 2x - 5.
Step 2: Associative Property of Addition
Rearrange the terms within the expression to group like terms together. Note that the associative property allows us to change the grouping without changing the result:
(3x + 2x) + (4 - 5).
The expression now becomes: 5x - 1.
Step 3: Commutative Property of Addition
Rearrange the terms within the expression to change the order without changing the result:
(2x + 3x) - 1.
The expression now becomes: 5x - 1.
Step 4: Distributive Property
Apply the Distributive Property again to simplify the expression:
5*(x) - 1.
The final simplified expression is: 5x - 1.
By following these steps, we have simplified the algebraic expression using the Distributive Property, Associative Property of Addition, and Commutative Property of Addition.