Identify the property illustrated in each statement. Assume all variables represent real numbers. 5(t+3) = (t+3)*5
Verified Solution
This video solution was recommended by our tutors as helpful for the problem above
Video duration:
1m
Play a video:
Was this helpful?
Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Commutative Property of Multiplication
The Commutative Property of Multiplication states that the order in which two numbers are multiplied does not affect the product. In the given equation, 5(t+3) and (t+3)*5 illustrate this property, as both expressions yield the same result regardless of the order of multiplication.
The Distributive Property allows us to multiply a single term by a sum or difference within parentheses. In the expression 5(t+3), the distributive property can be applied to expand it to 5t + 15, demonstrating how multiplication distributes over addition.
Multiply Polynomials Using the Distributive Property
Equality of Expressions
The concept of equality of expressions asserts that two expressions are equal if they yield the same value for all values of their variables. The equation 5(t+3) = (t+3)*5 shows that both sides are equivalent, reinforcing the idea that different arrangements of terms can represent the same mathematical relationship.