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Chapter 2: Problem 76

Convert each percent to a decimal. $$ 38 \% $$

Short Answer

Expert verified
0.38

Step by step solution

01

- Understand the Percent

A percent is a ratio that compares a number to 100. For example, 38% means 38 out of 100.
02

- Divide by 100

To convert a percent to a decimal, divide the percent by 100: \( 38 \% \div 100 = 0.38 \)

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Key Concepts

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

Percent
The term 'percent' comes from the Latin words 'per centum,' which means 'per hundred.' It is a way to express a number as a fraction of 100. For example, 38% means 38 out of every 100 units.
Percentages are used in various everyday situations, such as calculating discounts, interest rates, and statistics.
This makes understanding them extremely useful.
To identify a percentage, look for the percent sign (%) following a number.
  • Example: 50% means 50 out of 100.
  • Example: 25% means 25 out of 100.
In calculations, percentages are often converted to decimals for ease of computation.
Decimal
A decimal is a way of representing fractions using the base ten number system, which is the most commonly used system for representing numbers.
A decimal always has a decimal point, which separates the whole number part from the fractional part.
For example, in the number 0.38, the '0' represents the whole part, and '.38' represents the fractional part.
  • Decimals are easy to add, subtract, multiply, and divide.
  • They are widely used in measurements and currencies.
To convert a percentage to a decimal, you need to adjust the place value of the number so that it fits into the base ten system. This brings us to our next core concept: division by 100.
Division by 100
Dividing by 100 is a key step in converting a percentage to a decimal.
Dividing by 100 effectively moves the decimal point two places to the left.
For example, converting 38% to a decimal involves moving the decimal point of 38 two places to the left, resulting in 0.38.
Why 100? Because 'percent' means per 100, and dividing by 100 just simplifies this relation.
Here's the math explained:
  • Start with your percent: 38%.
  • Move the decimal two places left: 38 becomes 0.38.
  • The equation is: 38% 梅 100 = 0.38.
Getting comfortable with this step will make working with percentages much easier in math and real-life problems.

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