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Chapter 6: Problem 348

In the following exercises, convert each decimal to a percent. $$ 0.04 $$

Short Answer

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Step by step solution

01

Understand the conversion factor

To convert a decimal to a percent, multiply the decimal by 100. This is because percent means 'per hundred'.
02

Multiply the decimal by 100

Take the decimal value 0.04 and multiply it by 100. \(0.04 \times 100 = 4\)
03

Add the percent symbol

After multiplying by 100, add the percent symbol (%) to the result. Thus, 0.04 becomes 4%.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

decimal multiplication
When converting a decimal to a percent, one of the key operations involved is decimal multiplication. This means you will be multiplying the decimal number by 100.
For instance, if you have the decimal 0.04, you multiply it by 100 as shown: \(0.04 \times 100 = 4\).
Multiplying by 100 shifts the decimal point two places to the right. This transforms the value from a smaller decimal to a larger whole number.
  • Example: Converting 0.25 to a percent involves multiplying by 100. \(0.25 \times 100 = 25\)
  • Another example: Converting 0.75 to a percent: \(0.75 \times 100 = 75\)
Practicing decimal multiplication will make percent conversion much easier and intuitive.
percent conversion
The core idea of percent conversion is to express a number as a part of 100. The word 'percent' literally means 'per hundred'. Therefore, when converting decimals to percents, you are determining how many parts out of 100 the decimal represents.
To convert a decimal to a percent, follow these steps:
  • Multiply the decimal by 100.
  • Add the percent symbol (%) to the result.
Let's apply this to our example, 0.04.
First, multiply by 100: \(0.04 \times 100 = 4\).
Next, add the percent symbol: 4%.
Hence, 0.04 converts to 4%.
Some quick transformations for practice:
  • 0.1 converts to 10% (\(0.1 \times 100 = 10\)
  • 0.35 converts to 35% (\(0.35 \times 100 = 35\)
basic arithmetic operations
Understanding basic arithmetic operations is crucial for solving various mathematical problems, including decimal to percent conversions. Here are the four basic operations:
  • Addition (+)
  • Subtraction (鈭�)
  • Multiplication (脳)
  • Division (梅)
For decimal to percent conversion, we focus on multiplication. Multiply the decimal by 100 to convert it to a percent.
Let's revisit the example 0.04. The multiplication process is: \(0.04 \times 100 = 4\).
After the multiplication, add the percent symbol, giving you 4%.
Knowing how to perform these basic arithmetic operations smoothly enhances your ability to handle more complex math problems effectively.

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