Answered

Find answers to your questions faster and easier with IDNLearn.com. Get accurate and detailed answers to your questions from our dedicated community members who are always ready to help.

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 greatly appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. Thank you for visiting IDNLearn.com. For reliable answers to all your questions, please visit us again soon.