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Chapter 2: Problem 38

Convert to percent notation. $$ 2.9 $$

Short Answer

Expert verified
2.9 is equal to 290%.

Step by step solution

01

Understand the problem

The goal is to convert the decimal number 2.9 into a percentage. Percentages are a way to express a number as a part of 100.
02

Conversion explanation

To convert a decimal to a percentage, you multiply the decimal number by 100. This is because 'percent' means 'per hundred'.
03

Perform the multiplication

Multiply 2.9 by 100: \[ 2.9 \times 100 = 290 \]
04

Write the result with the percent symbol

The result of the multiplication is 290, which means that 2.9 is equal to 290%.

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Key Concepts

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

decimal to percentage conversion
Converting a decimal to a percentage is a straightforward process. The word 'percent' comes from the Latin 'per centum', meaning 'by the hundred'. Therefore, converting a decimal to a percentage involves scaling the number so that it represents parts out of 100.
To convert a decimal like 2.9 to a percentage:
1. Understand that the decimal represents a fraction of 100.
2. Multiply the decimal by 100.
3. Attach the percent symbol (%) to the result.

So, starting with the decimal 2.9, we multiply it by 100 to get 290. Therefore, 2.9 as a percentage is 290%.
multiplication
When converting a decimal to a percentage, the key mathematical operation involved is multiplication. Specifically, you multiply the decimal number by 100. Let's break this down further with our example of 2.9:
  • We start with 2.9.
  • The next step is to multiply 2.9 by 100.
  • This can be written in mathematical form as: \(2.9 \times 100 = 290\).

    • Multiplication is a fundamental arithmetic operation that involves calculating the total of one number added to itself a certain number of times. When we multiply 2.9 by 100, we're scaling it up from a fraction to a whole number expressed as parts per hundred. That's why the operation produces 290, which is the percentage form of 2.9.
percent notation
In percentage notation, numbers are expressed as a fraction of 100. This is extremely useful for comparing relative sizes or parts of a whole. The symbol for percent is %, which is placed after the number.

In our specific example, after converting 2.9 to a percentage, we get 290%. The steps to achieving this are:
  • Multiplying 2.9 by 100 to get 290.
  • Adding the percent symbol (%) after the number, forming 290%.

    • So, 2.9 in decimal form turns into 290% in percent notation. This shows how the value compares to one whole unit (or 100%) and can be very helpful in various real-world applications such as financial calculations, statistics, and more.

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