At Westonci.ca, we make it easy for you to get the answers you need from a community of knowledgeable individuals. Discover the answers you need from a community of experts ready to help you with their knowledge and experience in various fields. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.
Sagot :
Let's determine which of the given choices is equal to the fraction [tex]\(\frac{8}{9}\)[/tex].
First, let's understand the value of [tex]\(\frac{8}{9}\)[/tex]:
[tex]\[\frac{8}{9}\][/tex]
We need to compare this with the given choices:
- A. [tex]\(0.88888888 \ldots\)[/tex]
- B. [tex]\(0.8\)[/tex]
- C. [tex]\(0.888\)[/tex]
Step-by-step comparison:
1. Choice A: [tex]\(0.88888888 \ldots\)[/tex]
This is a repeating decimal that continues indefinitely. To check if it is equal to [tex]\(\frac{8}{9}\)[/tex], let’s compare the decimal representation:
[tex]\[\frac{8}{9} = 0.88888888 \ldots\][/tex]
This shows that [tex]\(\frac{8}{9}\)[/tex] has the same repeating decimal form as choice A.
2. Choice B: [tex]\(0.8\)[/tex]
This is a finite decimal and does not repeat. Clearly, [tex]\(\frac{8}{9}\)[/tex] which is equal to [tex]\(0.88888888 \ldots\)[/tex] is not equal to [tex]\(0.8\)[/tex].
3. Choice C: [tex]\(0.888\)[/tex]
This is also a finite decimal. Although it might seem similar, [tex]\(0.888\)[/tex] does not repeat and thus does not match the value of [tex]\(\frac{8}{9}\)[/tex]. The correct representation of [tex]\(\frac{8}{9}\)[/tex] is a repeating decimal that continues indefinitely, not a finite decimal.
From the above comparisons, we find that:
[tex]\[\frac{8}{9} = 0.88888888 \ldots\][/tex]
Therefore, the correct choice is:
[tex]\[A. \, 0.88888888 \ldots\][/tex]
So, the answer is Choice A.
First, let's understand the value of [tex]\(\frac{8}{9}\)[/tex]:
[tex]\[\frac{8}{9}\][/tex]
We need to compare this with the given choices:
- A. [tex]\(0.88888888 \ldots\)[/tex]
- B. [tex]\(0.8\)[/tex]
- C. [tex]\(0.888\)[/tex]
Step-by-step comparison:
1. Choice A: [tex]\(0.88888888 \ldots\)[/tex]
This is a repeating decimal that continues indefinitely. To check if it is equal to [tex]\(\frac{8}{9}\)[/tex], let’s compare the decimal representation:
[tex]\[\frac{8}{9} = 0.88888888 \ldots\][/tex]
This shows that [tex]\(\frac{8}{9}\)[/tex] has the same repeating decimal form as choice A.
2. Choice B: [tex]\(0.8\)[/tex]
This is a finite decimal and does not repeat. Clearly, [tex]\(\frac{8}{9}\)[/tex] which is equal to [tex]\(0.88888888 \ldots\)[/tex] is not equal to [tex]\(0.8\)[/tex].
3. Choice C: [tex]\(0.888\)[/tex]
This is also a finite decimal. Although it might seem similar, [tex]\(0.888\)[/tex] does not repeat and thus does not match the value of [tex]\(\frac{8}{9}\)[/tex]. The correct representation of [tex]\(\frac{8}{9}\)[/tex] is a repeating decimal that continues indefinitely, not a finite decimal.
From the above comparisons, we find that:
[tex]\[\frac{8}{9} = 0.88888888 \ldots\][/tex]
Therefore, the correct choice is:
[tex]\[A. \, 0.88888888 \ldots\][/tex]
So, the answer is Choice A.
Thank you for choosing our service. We're dedicated to providing the best answers for all your questions. Visit us again. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.