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Chapter 1: Problem 636

Convert each percent to a decimal. $$ 39.3 \% $$

Short Answer

Expert verified
0.393

Step by step solution

01

Understand the Problem

The task is to convert a percentage to a decimal. This involves changing the representation from a percentage (%) to a decimal number.
02

Remove the Percentage Symbol

First, take the percentage value given, which is 39.3%, and remove the '%' symbol to work with the numerical value.
03

Convert the Numerical Value

To convert the percentage to a decimal, divide the numerical value by 100. So, calculate \[ \ 39.3 \div 100 \ = \ 0.393 \ \].

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Key Concepts

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

percent to decimal
When you convert a percentage to a decimal, you're essentially changing the way the number is expressed.
A percentage is a number out of 100.
For example, 39.3% means 39.3 out of 100.
By converting it to a decimal, you're expressing the same value in a different format, which can be useful for calculations and various applications.
division by 100
To convert a percentage to a decimal, you need to divide by 100.
This is because 'percent' means 'per hundred'.
So, when you see a value like 39.3%, you're seeing 39.3 per hundred.

The division is straightforward:
  • Take 39.3 and divide it by 100.
  • You can write this as a simple division problem:
    \( 39.3 \div 100 = 0.393 \)

Now, 39.3% is represented as a decimal, which is 0.393.
removing percentage symbol
One of the first steps in converting a percentage to a decimal involves removing the percentage symbol (%).
This action allows you to work with the number more easily in mathematical calculations.

Let's take our example again:
  • Start with 39.3%.
  • Remove the % symbol, so you're left with 39.3.

This is a crucial step because the % symbol indicates that the number is a percentage, or 'per hundred'.
Once you've removed the symbol, you can divide the number by 100 to convert it into a decimal.

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