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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.