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Chapter 1: Problem 48

Convert each percent to its decimal equivalent. $$ 1 \% $$

Short Answer

Expert verified
1% is 0.01 in decimal form.

Step by step solution

01

Understand Percent to Decimal Conversion

To convert a percentage to a decimal, you need to divide the percentage value by 100. This is because 'percent' means per hundred, so 1% is equivalent to 1 divided by 100.
02

Divide the Percentage by 100

Take the given percentage, which is 1%, and divide it by 100. This can be expressed in an equation as \(\frac{1}{100}\).
03

Perform the Division

Perform the division \(\frac{1}{100}\) which results in 0.01. Therefore, the decimal equivalent of 1% is 0.01.

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Key Concepts

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

Understanding Decimal Equivalents
When we talk about decimal equivalents, we are referring to how a percentage is expressed as a decimal number. This is an essential skill in mathematics because percentages are often easier to interpret in decimal form. For example, you can quickly compare, add, or multiply values in decimal form, which can be more useful in calculations.

Decimals provide a clear and concise way to represent numbers that are less than one, such as when evaluating percentages less than 100%.
  • For instance, 50% as a decimal is 0.50.
  • Similarly, 25% is represented as 0.25 in decimal form.
Understanding these equivalents makes it easier to work with percentages in various mathematical operations.
Converting Percent to Decimal
The process of converting a percentage to a decimal is straightforward once you understand the meaning behind the term 'percent.' Think of 'percent' as 'per hundred.' When you have a percentage, you can simply divide the number by 100 to get its decimal equivalent.

For example, with 1%, you divide 1 by 100. In mathematical terms, this is represented as \ \( \frac{1}{100} = 0.01 \).
Here are the steps you typically follow for converting percent to decimal:
  • Identify the percentage you need to convert.
  • Divide the number by 100.
  • Write down the resulting decimal.
This method applies to any percentage you wish to convert, making it a valuable tool for handling percentages in everyday situations.
Basic Arithmetic Skills for Conversion
Basic arithmetic is fundamental when performing any sort of conversion, including changing percentages to decimals. Understanding how division works is key when converting percentage numbers. Let's explore how these basic arithmetic skills apply:

  • Division: Since converting a percentage to a decimal involves dividing by 100, being comfortable with this operation is important.
  • Equivalence: Knowing that dividing by 100 shifts the decimal point two places to the left can simplify the operation.
  • Practice: The more you practice division, the more comfortable you will become with quickly turning percentages into decimals.

Mastering these skills allows you to effortlessly move between percentages and decimals, aiding in more complex mathematical tasks.

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