AnswersAlgebra III ATopic TestQuestion 1
1
AssignmentMultiple Select

Topic Test

Question 1 • Algebra III A

Which statements are true about rational expression multiplication? Check all that apply.The closure property states that the sum of two rational expressions is an irrational number.Rational expressions are closed under multiplication.The commutative property states that changing the order of two or more factors does not change the value of the product.The associative property states that the way in which two or more factors are grouped in a product changes the value of the product.The properties of rational expression multiplication are parallel to the properties of rational number multiplication.

Answer
A
The closure property states that the sum of two rational expressions is an irrational number.
B
Rational expressions are closed under multiplication.
C
The commutative property states that changing the order of two or more factors does not change the value of the product.
D
The associative property states that the way in which two or more factors are grouped in a product changes the value of the product.
E
The properties of rational expression multiplication are parallel to the properties of rational number multiplication.

Explanation

Rational expressions are closed under multiplication: multiplying two rational expressions produces another rational expression, so B is true. The commutative property says factors can be reordered without changing the product, making C true. The associative property says regrouping factors does not change the product, so D is false; likewise, the closure statement in A is false. These multiplication properties parallel those for rational numbers, so E is true.

AI-written and checked against the verified answer.

Next

More from this Course

Assignment
12 verified answers

Assignment

Assignment
10 verified answers

Assignment

Assignment
6 verified answers

Assignment