Problem 9 - Prealgebra

Question

Change each percent to a decimal. $$23 \%$$

Step-by-Step Solution

Answer

23% as a decimal is 0.23.

Step 1: Understand the Percent Sign

The percentage sign (b9) tells us that the number is out of 100. For example, 23% means 23 parts out of 100.

Step 2: Convert Percent to Decimal

To convert a percent to a decimal, you divide the percent value by 100. So to convert 23% to a decimal, you would compute \( \frac{23}{100} \).

Step 3: Perform the Division

Now, execute the division \( \frac{23}{100} = 0.23 \). This means that 23% as a decimal is 0.23.

Key Concepts

Percent to Decimal Conversion

Converting percentages to decimals is a simple and essential skill in math. To perform a percent to decimal conversion, you need to understand that a percentage represents a part out of 100. For example, when you see 23%, it implies 23 out of every 100.

The actual conversion process is straightforward. You shift the decimal point two places to the left, which is equivalent to dividing the percentage by 100. For instance, to convert 23%, you can think of it as 23.0 and move the decimal two spaces left, resulting in 0.23. Alternatively, applying the division, you take 23 and divide it by 100, giving you 0.23.

Basic Arithmetic Operations

Basic arithmetic operations form the foundation of mathematics and include addition, subtraction, multiplication, and division. Among these, understanding division is crucial for converting percentages to decimals.

When you encounter a percentage, treating it as a ratio allows you to divide it by 100 to find its decimal form. For example:

• Division: To convert 23% to a decimal, you divide 23 by 100. This operation implies distributing 23 into 100 equal parts, giving you the decimal result of 0.23.

Keep practicing these operations to enhance your confidence and speed in performing mathematical tasks.

Understanding Percentages

Percentages are everywhere, from sales discounts to statistical data interpretation, and understanding them is important in real-life situations. A percentage is a way of expressing a number as a fraction of 100. It provides a means to compare relative sizes and quantify data with ease.

Visualize percentages as slices of a pie, where each percent represents a slice when the whole pie stands for 100 slices. This visualization helps in grasping how percentages relate to parts of a whole. For example, 23% means you have 23 slices out of 100.

By mastering how to read and convert percentages, you build fundamental skills useful in both academics and everyday tasks.