Problem 34 - Prealgebra

Question

Change each decimal to a percent. $$0.62$$

Step-by-Step Solution

Answer

0.62 as a percent is 62%.

Step 1: Understand the Relationship

To change a decimal to a percent, we need to understand that moving from a decimal to a percent involves multiplying by 100. This is because "percent" means "per hundred."

Step 2: Multiply the Decimal by 100

Take the decimal number, \(0.62\), and multiply it by 100. This can be calculated as: \[0.62 imes 100 = 62\]

Step 3: Attach the Percent Sign

After converting the decimal by multiplying, attach the percent sign to the result: 62%.

Key Concepts

Multiplying by 100

When converting a decimal into a percent, a pivotal step involves multiplying the decimal by 100. This is due to the term "percent" itself, which derives from Latin—"per centum," meaning "per hundred." Therefore, when you are turning a decimal into a percent, you are essentially finding out how many parts out of 100 your decimal represents.
For example, if you have the decimal number 0.62, multiplying it by 100 will make it easier to express the value in terms of per hundred. You calculate this as:

• 0.62 multiplied by 100 equals 62.

After doing this multiplication, the number 62 is now ready to be interpreted as a percent value. By multiplying, you scale up the decimal to a full percentage, making it easier to understand how the number relates to a whole or 100%.

Percent Sign

Once you have multiplied the decimal by 100, it is important to add the percent sign (%).
This symbol is crucial because it indicates that the number has been converted into a percentage.
Without it, the number would appear as just a regular whole number, losing the context that it is a portion out of 100.
The percent sign is a simple yet powerful way to communicate that the number represents a part of a hundred.
By adding the percent sign to 62, you finalize the conversion, making the number into 62%. This little symbol transforms your number into an easy-to-read percentage, streamlining comparisons and making sense of proportions in everyday situations. It's a universal language in mathematics to denote parts of a whole.

Understanding Percent Conversion

Understanding the entire process of converting decimals into percentages is fundamental in grasping how numbers are expressed as parts of a whole. Percent conversion is about translating a decimal, which may feel abstract to some, into a more comprehensible form—a percentage.
When you convert a decimal into a percent by multiplying by 100 and adding a percent sign, you create a measure that naturally fits into our 100-centered view of things like grades and statistics.
Consider a decimal like 0.50. If you convert it, you get 50%—which immediately is easy to understand as half of something. This conversion is about making numbers pragmatic, whether it be dealing with sales discounts, statistical data, or a variety of other metrics people encounter.

• Grasping this concept allows for better analytical skills.
• It empowers effective communication of quantities in percentage form.
• It promotes a deeper understanding of data expressed in everyday contexts.

In essence, learning percent conversion lays the groundwork for interpreting and conveying numerical data in the most universally understood form: percentages.