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Chapter 12: Problem 39

Express each decimal or fraction as a percent. Round to the nearest hundredth percent, if necessary. $$2.47$$

Short Answer

Expert verified
2.47 as a percent is 247%.

Step by step solution

01

Understand the Problem

You need to express the decimal number 2.47 as a percentage. To convert a decimal to a percentage, you multiply the decimal by 100. This will also require rounding to the nearest hundredth percent if necessary.
02

Convert the Decimal to a Percentage

Multiply the decimal 2.47 by 100. This is because percentages are parts per hundred, and multiplying by 100 converts the decimal into that format. \[2.47 \times 100 = 247\]
03

Interpret the Result

The product from Step 2 is the percentage form of the decimal. Since it is a whole number (247), there is no need for rounding. Therefore, 2.47 as a percent is 247%.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Decimal Conversion
To convert a decimal into a percentage is a straightforward process. Understanding this conversion is a useful skill in both academics and everyday life. A decimal represents a fraction of a whole number, while percentages make it easier to compare these parts by expressing them out of 100.
Here's a simple process to convert a decimal to a percentage:
  • Multiply by 100: Take your decimal number. Multiply it by 100 to shift its decimal point two places to the right.
  • Add the percent sign (%): This signifies the number is now a percentage.
For example, converting the decimal 2.47 to a percent: \[2.47 \times 100 = 247\]Thus, 2.47 can be expressed as 247%.
Rounding Numbers
Rounding numbers is a way of simplifying numbers while retaining their overall value. This is crucial when dealing with percentages, as it offers clarity and practicality, especially when precision is not necessary. Rounding to the nearest hundredth percent can be broken down as follows:
  • Locate the hundredth position: For example, the number 2.475, the number in the thousandth position (5) influences the rounding of the hundredth position (7).
  • Assess the digit for rounding: If it's 5 or higher, you round up. If it's lower than 5, you leave the rounding number unchanged.
In the case of our initial decimal, 2.47, converting it to 247% means there is no further rounding needed since it is already a whole number.
Understanding Percents
Percentages are a way of expressing a number as a fraction of 100. They are essential for interpreting data, comparing values, and conducting statistical analysis in both academic and real-world situations. Imagine you got 247 marks out of a possible 100. That's how you understand 2.47 as 247% in terms of conversion and interpretation. Here are some insights about percentages:
  • They are especially helpful in making comparisons easy across different scales.
  • A percentage can indicate a discount, an increase in value, or even a portion of a total.
For instance, a score of 80% in an exam effectively conveys your performance as having obtained 80 marks out of 100. Similarly, 2.47 as 247% indicates a total that is 2.47 times the whole or the norm expressed as 100.

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