Answered

IDNLearn.com: Your one-stop platform for getting reliable answers to any question. Receive prompt and accurate responses to your questions from our community of knowledgeable professionals ready to assist you at any time.

Identify the recurring decimals:

[tex]\[ 0.98, \quad 2.46, \quad 1.328\overline{i}, \quad 0.25 \][/tex]

Sagot :

GinnyAnsweridn
Sure! Let's identify whether any of the given numbers [tex]\(0.98\)[/tex], [tex]\(2.46\)[/tex], [tex]\(1.328\)[/tex], and [tex]\(0.25\)[/tex] are recurring decimals.

### Step-by-Step Solution

1. Understand the concept of a recurring decimal:
- A recurring decimal is a decimal number that has digits that repeat infinitely. For example, [tex]\(0.3333...\)[/tex] (where the digit '3' repeats indefinitely) and [tex]\(1.6666...\)[/tex] (where the digit '6' repeats indefinitely).

2. Analyze each number to determine if it is a recurring decimal:

#### [tex]\(0.98\)[/tex]
- The decimal part is [tex]\(0.98\)[/tex].
- There are no repeating digits in the decimal part.

Conclusion: [tex]\(0.98\)[/tex] is not a recurring decimal.

#### [tex]\(2.46\)[/tex]
- The decimal part is [tex]\(0.46\)[/tex].
- There are no repeating digits in the decimal part.

Conclusion: [tex]\(2.46\)[/tex] is not a recurring decimal.

#### [tex]\(1.328\)[/tex]
- The decimal part is [tex]\(0.328\)[/tex].
- There are no repeating digits in the decimal part.

Conclusion: [tex]\(1.328\)[/tex] is not a recurring decimal.

#### [tex]\(0.25\)[/tex]
- The decimal part is [tex]\(0.25\)[/tex].
- There are no repeating digits in the decimal part.

Conclusion: [tex]\(0.25\)[/tex] is not a recurring decimal.

### Conclusion

After a detailed analysis of each number, we conclude that none of the given numbers [tex]\(0.98\)[/tex], [tex]\(2.46\)[/tex], [tex]\(1.328\)[/tex], and [tex]\(0.25\)[/tex] are recurring decimals.
We are happy to have you as part of our community. Keep asking, answering, and sharing your insights. Together, we can create a valuable knowledge resource. Your search for solutions ends here at IDNLearn.com. Thank you for visiting, and come back soon for more helpful information.