3.5 percent in decimal form

Guri Bee

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18-10-2024

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3.5 Percent: Converting to Decimal Form

Understanding how to convert percentages to decimals is a fundamental skill in mathematics and is widely applied in various fields like finance, statistics, and everyday life. This article will guide you through the conversion process, focusing on 3.5 percent as an example.

What is a Percent?

"Percent" literally means "out of one hundred." So, 3.5 percent represents 3.5 out of every 100.

Converting Percentages to Decimals

The conversion is simple:

1. Divide by 100: Take the percentage value (3.5) and divide it by 100.

   3.5 ÷ 100 = 0.035

2. Move the Decimal: An equivalent method is to move the decimal point two places to the left. Since 3.5 has a decimal point after the 5, move it two places to the left, adding a zero as needed.

   3.5 → 0.35 → 0.035

Therefore, 3.5 percent in decimal form is 0.035.

Practical Applications:

• Calculating Discounts: A 3.5% discount on a $100 item is equivalent to a $3.50 discount. You can calculate this by multiplying the original price by the decimal form of the percentage: $100 x 0.035 = $3.50

• Understanding Interest Rates: If a bank offers a 3.5% annual interest rate on your savings account, it means you'll earn 0.035 times your initial deposit in interest every year.

Key Points to Remember:

• Decimal Form: Decimal form allows for easier calculations in mathematical operations.
• Percentage to Decimal: Always divide the percentage value by 100.
• Decimal to Percentage: Multiply the decimal value by 100.

Additional Resources:

• Khan Academy: https://www.khanacademy.org/math/pre-algebra/pre-algebra-ratios-rates/pre-algebra-percent-intro/v/converting-percentages-to-decimals
• Math is Fun: https://www.mathsisfun.com/percentage-decimal-fraction.html

This article provides a clear understanding of how to convert percentages to decimals, using 3.5 percent as a practical example. The provided links offer additional resources for further exploration and understanding of this fundamental mathematical concept.