Answered

Welcome to Westonci.ca, the place where your questions find answers from a community of knowledgeable experts. Join our Q&A platform and get accurate answers to all your questions from professionals across multiple disciplines. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

Enter the next three numbers of the repeating decimal produced by the fraction [tex]\frac{7}{9}[/tex].

[tex]0.777777 \ldots[/tex]

Answer here:

Sagot :

GinnyAnswer
To find the next three numbers of the repeating decimal produced by the fraction [tex]\(\frac{7}{9}\)[/tex], let's break down the steps:

1. Understand the fraction:
- The fraction [tex]\(\frac{7}{9}\)[/tex] simplifies to a repeating decimal.

2. Convert the fraction to decimal form:
- When you divide 7 by 9, it yields a decimal that repeats. The repeating decimal form of [tex]\(\frac{7}{9}\)[/tex] is [tex]\(0.\overline{7}\)[/tex], which means 0.777777...

3. Identify the repeating part:
- The repeating decimal here is "777777..." where the digit '7' repeats indefinitely.

4. Determine the next three numbers:
- Since the repeating pattern is '7', the next three numbers in the sequence, following the pattern, would just continue the same.

Therefore, the next three numbers of the repeating decimal produced by the fraction [tex]\(\frac{7}{9}\)[/tex] are:

[tex]\[ 777 \][/tex]
We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.