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Chapter 8: Problem 53

Convert to percent notation. 0.452

Short Answer

Expert verified
45.2%

Step by step solution

01

- Understanding the Conversion

To convert a decimal number to a percentage, multiply the decimal by 100. This is because 'percent' means 'per hundred'.
02

- Perform the Multiplication

Multiply the decimal number 0.452 by 100:i.e.\[0.452 \times 100 = 45.2\]
03

- Attach the Percent Symbol

After the multiplication, attach the percent symbol (%) to the result. Thus, \[0.452 \times 100 = 45.2\] becomes 45.2%.

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Key Concepts

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

decimal to percent
When converting a decimal to a percent, it's important to understand that you're changing the form of the number, not its value. The term 'percent' itself means 'per hundred'. Therefore, converting a decimal to a percent involves multiplying the decimal by 100. This conversion is straightforward and involves a single multiplication step. For example, to convert 0.452 to a percent, multiply 0.452 by 100 which gives 45.2. After this multiplication, add the percent symbol (%) to the result, making it 45.2%.
mathematical notation
Mathematical notation can sometimes seem complex, but it's just a way to communicate mathematical ideas clearly and succinctly. In the context of converting decimals to percentages, you'll frequently see the multiplication of the decimal number by 100, represented like this: e.g., \[0.452 \times 100 = 45.2\]. After performing the multiplication, you'll often add a percent symbol to the resultant number, representing the conversion to percentage: 45.2%. A percent symbol is simply a way to denote per hundred. Remember, consistent use of correct notation will help avoid confusion and errors.
basic arithmetic
Basic arithmetic lays the foundation for understanding more complex mathematical concepts. When dealing with decimal to percent conversions, there are two primary operations involved: multiplication and the addition of the percent symbol. Multiplication is one of the four basic arithmetic operations and is used here to scale the decimal value to a percentage. For example, multiplying 0.452 by 100 gives \(45.2\). This is known as 'scaling up'. After you have scaled up the decimal, you add the percent symbol (%) to the result. Basic arithmetic operations like multiplication are critical in everyday math and help in problems like converting decimals to percentages.

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