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Answer :
- Convert the fraction $\frac{1}{25}$ to a decimal by performing the division $1 \div 25$.
- Obtain the decimal representation: $0.04$.
- Round the decimal to the nearest hundredth, which is already achieved in this case.
- The final answer is $\boxed{0.04}$.
### Explanation
1. Understanding the problem
We are asked to convert the fraction $\frac{1}{25}$ to a decimal and round it to the nearest hundredth. The nearest hundredth refers to the second decimal place.
2. Converting to Decimal
To convert the fraction to a decimal, we divide the numerator (1) by the denominator (25). The result of this division is $1 \div 25 = 0.04$.
3. Rounding to Nearest Hundredth
Now, we need to round the decimal 0.04 to the nearest hundredth. Since 0.04 already has only two decimal places, no further rounding is needed. The number is already expressed to the nearest hundredth.
4. Final Result
Therefore, the decimal representation of $\frac{1}{25}$ rounded to the nearest hundredth is 0.04.
### Examples
In everyday life, converting fractions to decimals is useful in various situations. For example, if you want to calculate a discount of $\frac{1}{25}$ on an item priced at $100, you would convert $\frac{1}{25}$ to 0.04, which represents 4%. Then, you can easily calculate the discount amount as $100 \times 0.04 = $4. This makes it easier to understand and apply fractional discounts or proportions in real-world scenarios.
- Obtain the decimal representation: $0.04$.
- Round the decimal to the nearest hundredth, which is already achieved in this case.
- The final answer is $\boxed{0.04}$.
### Explanation
1. Understanding the problem
We are asked to convert the fraction $\frac{1}{25}$ to a decimal and round it to the nearest hundredth. The nearest hundredth refers to the second decimal place.
2. Converting to Decimal
To convert the fraction to a decimal, we divide the numerator (1) by the denominator (25). The result of this division is $1 \div 25 = 0.04$.
3. Rounding to Nearest Hundredth
Now, we need to round the decimal 0.04 to the nearest hundredth. Since 0.04 already has only two decimal places, no further rounding is needed. The number is already expressed to the nearest hundredth.
4. Final Result
Therefore, the decimal representation of $\frac{1}{25}$ rounded to the nearest hundredth is 0.04.
### Examples
In everyday life, converting fractions to decimals is useful in various situations. For example, if you want to calculate a discount of $\frac{1}{25}$ on an item priced at $100, you would convert $\frac{1}{25}$ to 0.04, which represents 4%. Then, you can easily calculate the discount amount as $100 \times 0.04 = $4. This makes it easier to understand and apply fractional discounts or proportions in real-world scenarios.
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