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Chapter 6: Problem 37

In the following exercises, convert each percent to a decimal. $$21.4 \%$$

Short Answer

Expert verified
0.214

Step by step solution

01

- Understand Percentage

A percentage is a way of expressing a number as a fraction of 100. The symbol % means 'per hundred'.
02

- Move the Decimal Point

To convert a percentage to a decimal, move the decimal point two places to the left. For example, with 21.4%, moving the decimal two places to the left gives you 0.214.

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Key Concepts

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

Percentage
Understanding percentages is the foundation of many types of calculations. A percentage represents a fraction where the denominator is 100. The symbol % means 'per hundred'. Therefore, when we say 21.4%, it means 21.4 out of every 100 or 21.4/100. This helps in various mathematical and real-world applications such as calculating discounts, interest rates, and grades.
Decimal Point Conversion
Converting a percentage to a decimal is a straightforward process. To do this, you need to move the decimal point two places to the left. This is because you are dividing the percentage by 100. For instance, if we have 21.4%, we move the decimal two places to the left: 21.4 -> 2.14 -> 0.214. Now, 21.4% is represented as 0.214 in decimal form. Remember this simple step whenever you need to perform this conversion. It simplifies many mathematical operations.
Basic Arithmetic Steps
Basic arithmetic involves addition, subtraction, multiplication, and division. These operations are fundamental for converting percentages to decimals. Let's break down the process:
  • Identify the percentage value (e.g., 21.4%).
  • Recognize that the percentage symbol means 'per hundred', which implies division by 100.
  • Move the decimal point two places to the left, because dividing by 100 shifts the decimal two places left.
So, 21.4% becomes 0.214. Practice these steps to become comfortable with the conversion process.

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Most popular questions from this chapter

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