Which property is illustrated by the following statement?
2x(6) = (6)2x
a. Associative Property of Addition
b. Commutative Property of Multiplication (?)
c. Inverse Property of Multiplication
d. Commutative Property of Addition
Which property is illustrated by the following statement?
3z + 4 = 4 + 3z
a. Associative Property of Addition
b. Commutative Property of Multiplication
c. Inverse Property of Multiplication
d. Commutative Property of Addition (?)
What is the algebraic expression for the following word phrase: the sum of 5 and 2x?
a. 7x
b. 5 + 2
c. 5x + 2x
d. 5 + 2x (?)
7 years later... still no answer continue the legacy until it is answered!
The first one is: Commutative property of multiplication
it was answered. its just all the answers with the questions marks next to them r correct
6(2x) = 2x (6)
all correct. good work.
2(3 + x) = 6 + 2x. This is an example of the ___________ property. Please Help Me!
there are 7 questions whars the answers??? help soon ps:nowww
ium all the answers are correct
To determine the property illustrated by each statement, let's review the properties of addition and multiplication in algebra:
1. Associative Property: This property states that the grouping of numbers or variables being added or multiplied does not change the result. For addition, it can be expressed as (a + b) + c = a + (b + c), and for multiplication, it can be expressed as (ab)c = a(bc).
2. Commutative Property: This property states that the order of numbers or variables being added or multiplied does not change the result. For addition, it can be expressed as a + b = b + a, and for multiplication, it can be expressed as ab = ba.
3. Inverse Property: This property states that adding or multiplying a number or variable by its inverse (opposite) results in the identity element, which is 0 for addition and 1 for multiplication.
Now let's analyze each statement:
1. 2x(6) = (6)2x:
This statement illustrates the Commutative Property of Multiplication because it demonstrates that the order of multiplication does not affect the result. The correct option is b. Commutative Property of Multiplication.
2. 3z + 4 = 4 + 3z:
This statement illustrates the Commutative Property of Addition because it shows that the order of addition does not affect the result. The correct option is d. Commutative Property of Addition.
3. The sum of 5 and 2x:
The word phrase "the sum of 5 and 2x" indicates addition. Therefore, $5+2x$ is the algebraic expression that represents this phrase. The correct option is d. $5+2x$.
Remember, to determine the property illustrated, it is essential to identify any changes in the order or grouping of operations and relate them to the properties mentioned above.