What is 1/25 as a decimal
The Correct Answer and Explanation is:
Correct Answer:
1/25 as a decimal is 0.04.
Detailed Explanation:
To convert a fraction like ( \frac{1}{25} ) into a decimal, you need to divide the numerator (1) by the denominator (25). Let’s break down the steps:
- Set up the division: Divide 1 (the numerator) by 25 (the denominator). Since 1 is smaller than 25, the result will be less than 1, indicating the decimal point.
- Perform the division:
- Start by adding a decimal point to the number 1 and append zeros after it (1.0000). This allows you to perform the division.
- Divide 25 into 100. It goes 4 times because ( 25 \times 4 = 100 ).
- Subtract 100 from 100 to get a remainder of 0.
- The result is 0.04: Since there is no remainder left, the division ends here, and the result is exactly 0.04.
Understanding the Concept:
Fractions represent a part of a whole. In this case, ( \frac{1}{25} ) means dividing 1 into 25 equal parts. Each part is ( 0.04 ), so the fraction ( \frac{1}{25} ) equals the decimal 0.04.
Real-World Application:
Understanding how to convert fractions to decimals is crucial in various fields:
- Finance: For instance, if a tax rate is ( \frac{1}{25} ), it means 4% (as 0.04 is equivalent to 4%).
- Measurements: If a recipe requires ( \frac{1}{25} ) of a kilogram, that translates to 40 grams (using decimal multiplication).
Verification:
You can check the accuracy by reversing the process:
- Multiply ( 0.04 \times 25 ), which equals 1, confirming the decimal conversion.
Thus, ( \frac{1}{25} = 0.04 ), a straightforward yet significant calculation in understanding fractions and decimals.