Answered

Get expert advice and insights on any topic with IDNLearn.com. Our community is ready to provide in-depth answers and practical solutions to any questions you may have.

Use the commutative property to write an expression that is equivalent to [tex]5f + f[/tex].

A. [tex]13f + f[/tex]

B. [tex]8f + f + 5f[/tex]

C. [tex](8 + 5 + 1)f[/tex]

Sagot :

GinnyAnsweridn
Sure, let's go step by step to use the commutative property to simplify the given expression:

1. The original expression given to us is [tex]\(8f + 5f + f\)[/tex].

2. Using the commutative property of addition, which states that the order in which we add numbers does not change the sum, we can rearrange the terms:
[tex]\[8f + 5f + f\][/tex]
This holds true regardless of how we group the terms, so we can proceed to combine the like terms.

3. Combine the coefficients of [tex]\(f\)[/tex]. The coefficients are the numbers in front of the variable [tex]\(f\)[/tex]. In this expression, the coefficients are 8, 5, and 1:
[tex]\[8f + 5f + f\][/tex]
can be written as:
[tex]\[(8 + 5 + 1)f\][/tex]

4. Add the coefficients together:
[tex]\[8 + 5 + 1 = 14\][/tex]

5. Therefore, the simplified expression is:
[tex]\[14f\][/tex]

So, the expression [tex]\(8f + 5f + f\)[/tex] simplifies to [tex]\(14f\)[/tex].
We appreciate your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. For trustworthy answers, rely on IDNLearn.com. Thanks for visiting, and we look forward to assisting you again.