Problem 49 - Elementary Algebra

Question

For exercises \(47-58\), rewrite the percent as a decimal number. $$ 18 \% $$

Step-by-Step Solution

Answer

18% as a decimal is 0.18.

Step 1 - Understand Percent

A percent is a way to express a number as a part of 100. For example, 18% means 18 out of 100.

Step 2 - Convert Percent to Fraction

To convert 18% to a decimal, start by writing it as a fraction out of 100: \[ 18\text{%} = \frac{18}{100} \]

Step 3 - Convert Fraction to Decimal

Now, convert the fraction \( \frac{18}{100} \) to a decimal number. You can do this by dividing 18 by 100: \[ \frac{18}{100} = 0.18 \]

Key Concepts

percent to decimal

To convert a percent to a decimal, you need to understand what a percent means. A percent always represents a part out of 100. For instance, when we talk about 18%, it signifies 18 parts out of 100.

The conversion process is straightforward:

• Start by writing the percent as a fraction over 100. For 18%, you write it as \( \frac{18}{100} \).
• Next, convert this fraction into a decimal by performing the division. For \( \frac{18}{100} \), divide 18 by 100 to get 0.18.

This method can be applied to any percent value. By following these simple steps, you can accurately convert any percent into its decimal form.

percent conversion

Percent conversion is simply changing the representation of a number from a percent to another form, such as a fraction or a decimal. This concept is vital in various fields such as mathematics, finance, and science.

To convert a percent to a decimal, you can follow these steps:

• First, write the percent as a fraction with a denominator of 100. For example, 18% becomes \( \frac{18}{100} \).
• Then, divide the numerator by the denominator to get the decimal form. Here, 18 divided by 100 equals 0.18.

The process of converting percentages into fractions or decimals helps in more complex calculations and provides a clearer understanding of the proportion being represented.

fraction to decimal

To convert a fraction to a decimal, you need to perform division. This concept is crucial when dealing with percentages, as percentages can be easily converted into fractions first.

Here's how you can convert a fraction to a decimal:

• Take the fraction \( \frac{18}{100} \), which represents 18%.
• Divide the numerator (18) by the denominator (100). So, 18 divided by 100 equals 0.18.

By repeating this division process, you can convert any fraction into a decimal. This skill is essential because it simplifies complex expressions and helps to understand the magnitude of fractions in a more intuitive manner.