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Calculating percentage is a crucial mathematical skill and is often applied in daily life. It helps us to express how much part of a total something represents. In this exercise, we need to determine the number of smartphone users who do not use a screen lock as a percentage of the total number of users surveyed. The percentage given is 28%. To find the number of users, we can multiply this percentage by the total number of users surveyed, which is 500. Here's how you can do it:

• First, convert the percentage into its decimal form.


• Then, multiply the decimal by the total number to obtain the final answer.

This straightforward method provides a concrete understanding of converting percentages into actual figures. This basic principle is widely used for applications like calculating discounts, interest rates, and statistical data analysis.

Survey data analysis involves extracting meaningful insights from data collected through surveys. In the context of our problem, survey data has given us valuable information about smartphone security habits.

When you perform a survey, the primary goal is to collect data that accurately represents the views or behaviors of a larger population. A well-constructed survey keeps the results unbiased and reliable. For our specific survey concerning smartphone users:

• Understanding the percentage of users not employing screen locks helps gauge security awareness or behavior.


• This information could be used by security companies or app developers to target improvements or raise awareness.

A key step in analyzing survey data includes identifying trends and patterns which may have strategic implications. Using clear numerical data representations, such as percentages, ensures that even non-experts can comprehend these insights.

Decimal conversion is an essential mathematical process used to translate percentages and other values into a more usable form. It is particularly useful where calculations are required, as in the present problem involving determining the percentage of users who do not use a screen lock.

To convert a percentage to a decimal, divide the percentage value by 100. This is because a percentage is essentially a fraction out of 100. For instance, 28% is equivalent to dividing 28 by 100:

• 28% is converted to decimal: \( \frac{28}{100} = 0.28 \)

This decimal representation (0.28) allows for straightforward multiplication calculations:

• Create more manageable computations such as 500 users \(\times\) 0.28.

These processes will help streamline your calculations and ensure your results are accurate and easy to interpret.