What is 2.4% as a decimal
The Correct Answer and Explanation is :
To convert 2.4% to a decimal, follow these steps:
Step 1: Understand the meaning of percentage.
A percentage is simply a way of expressing a number as a fraction of 100. In this case, 2.4% means 2.4 out of 100.
Step 2: Convert percentage to decimal.
To convert a percentage to a decimal, divide the percentage by 100. This can be done in two ways:
- Moving the decimal point: Move the decimal point two places to the left.
- Dividing by 100: Divide the number by 100 directly.
Step 3: Perform the conversion.
Starting with 2.4%, you can convert it as follows:
- Method 1: Move the decimal point two places to the left.
- 2.4 → 0.024
- Method 2: Divide by 100.
- 2.4 ÷ 100 = 0.024
Result:
The decimal equivalent of 2.4% is 0.024.
Explanation:
When you convert percentages to decimals, you’re essentially expressing the percentage as a fraction of 1. This process helps make calculations easier, especially in mathematics, finance, and sciences. In real-world scenarios, you might encounter situations where you need to calculate tax rates, interest rates, or even concentrations in a solution, and having the decimal equivalent is necessary for accurate and efficient calculations.
For example, if a store offers a 2.4% discount, to calculate the discount on an item priced at $50:
- Convert 2.4% to a decimal: 0.024
- Multiply the price by the decimal: 50 × 0.024 = 1.2
- The discount is $1.20.
Understanding how to convert between percentages and decimals is a fundamental mathematical skill that is applied in various fields, from simple daily calculations to complex scientific measurements.