Problem 28 - Prealgebra

Question

Change each decimal to a percent. $$0.04$$

Step-by-Step Solution

Answer

0.04 as a percent is 4%.

Step 1: Understand the Relationship

To convert a decimal to a percent, it's important to remember that percent means 'per hundred'. This implies you'll be converting the decimal into a fraction out of 100.

Step 2: Multiply the Decimal by 100

To convert the decimal 0.04 to a percent, multiply 0.04 by 100. This step converts the decimal into its percentage form.

Step 3: Simplify the Result

After multiplying, you obtain 4. Therefore, 0.04 becomes 4%. This means that 0.04 as a percentage is 4%.

Key Concepts

Percent Conversion

Converting decimals to percentages is a vital skill, especially in prealgebra. The term "percent" essentially means "per hundred". When you see a decimal number, think of it as part of a whole, where the whole is represented as 100 in terms of percent.

To perform the conversion, simply multiply the decimal by 100. This step effectively shifts the decimal point two places to the right, giving you the equivalent value in percentage. For instance, converting 0.04 into a percent involves:

• Multiplying 0.04 by 100
• Resulting in 4%

This process aids in understanding how much a particular decimal value represents when compared to 100. A helpful tip is to imagine the conversion as expressing the decimal number in parts per 100 – which is the essence of a percentage.

Mathematical Conversions

Understanding different types of mathematical conversions is crucial in mathematics. They allow you to change numbers or expressions from one form to another, making them easier to comprehend or to use in a different context.

Apart from converting decimals to percents, some common conversions include:

• Fractions to decimals
• Fractions to percents
• Decimals to fractions

Each type of conversion follows a specific method. For example, converting fractions to decimals involves dividing the numerator by the denominator. Similarly, to convert a fraction to a percent, you can first convert it to a decimal, then multiply by 100. These skills are fundamental to tackle various mathematical problems and develop problem-solving strategies.

Prealgebra Basics

Prealgebra lays the groundwork for all future mathematics courses. It involves understanding basic concepts and operations that form the foundation for algebra and more advanced math.

Some of the key concepts covered in prealgebra include:

• Understanding and working with numbers.
• Basic operations like addition, subtraction, multiplication, and division.
• Introducing variables and simple equations.
• Understanding fractions, decimals, and percents.

One of the primary goals of prealgebra is to develop a solid number sense. This includes the ability to switch between different numeric forms, recognize relationships between numbers, and solve problems logically. Mastering these basics equips students with the critical thinking skills necessary for higher-level math.