Problem 52 - Elementary Algebra

Question

For exercises \(47-58\), rewrite the percent as a decimal number. $$ 9.6 \% $$

Step-by-Step Solution

Answer

0.096

Step 1: Understanding Percentages

A percentage is a number or ratio expressed as a fraction of 100. To convert a percentage to a decimal, divide the percentage value by 100.

Step 2: Convert the Percentage

Divide 9.6 by 100. Mathematically, it can be written as: \[ 9.6 \text{%} = \frac{9.6}{100} \ = 0.096 \]

Key Concepts

percentage

A percentage is a way of expressing a number as a fraction of 100. This means that when you see 9.6%, it essentially translates to 9.6 out of 100. Percentages are commonly used to represent proportions, discounts, interest rates, and more. Understanding what a percentage means is the first step in many mathematical operations.
Converting a percentage into another form, like a decimal, simplifies calculations and comparisons. For instance, when you're comparing values or computing the final price after a discount, working with decimals can often be easier than working with percentages directly.

decimal conversion

Converting a percentage to a decimal is a straightforward process but one that is crucial in basic mathematics. To convert a percentage like 9.6% to a decimal, you need to divide it by 100. This division moves the decimal point two places to the left. For example, 9.6% becomes 0.096 after conversion. Here's a step-by-step breakdown:
1. Start with the percentage value: 9.6.
2. Divide by 100: \[\frac{9.6}{100}\] = 0.096.
Remembering to move the decimal point two places to the left is a quick way to convert any percentage to its decimal form.

basic mathematics

Basic mathematics involves understanding simple operations and concepts like addition, subtraction, multiplication, and division. Among these, converting percentages to decimals is an essential skill. It forms the foundation for more complex topics in algebra, geometry, and beyond. Here are some key points to grasp:
* Percentages are parts per hundred.
* Dividing by 100 converts percentages to decimals, simplifying calculations.
* Mastering these basics makes it easier to tackle more advanced math problems.
Practice regularly to become confident in these fundamental concepts. Consistent practice and exercises will help solidify your understanding and improve your problem-solving skills.