Discover how IDNLearn.com can help you find the answers you need quickly and easily. Our platform is designed to provide accurate and comprehensive answers to any questions you may have.

Identify the recurring decimals:

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


Sagot :

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.