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Chapter 7: Problem 37

Change the percent to a decimal. $$0.55 \%$$

Short Answer

Expert verified
0.0055

Step by step solution

01

Understand the problem

The goal is to convert the percent into a decimal. A percent is a part per hundred, so we need to express it as a number between 0 and 1.
02

Remove the percent sign

To start the conversion, remove the percent sign from 0.55%. This gives us the number 0.55.
03

Divide by 100

Since percent means per hundred, divide the number by 100 to convert it to a decimal. Thus, we perform: \[ 0.55 \times \frac{1}{100} = 0.0055 \]

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Key Concepts

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

Understanding Percent
To start, let's understand what a percent is. The term 'percent' comes from the Latin phrase 'per centum,' which means 'by the hundred.' When you see a number followed by a percent sign (%), it means that number is out of 100. For example, 50% means 50 out of 100.
So, when we need to convert a percentage to another format, like a decimal, we start by realizing it represents a portion of 100.
What is a Decimal?
Decimals are another way to represent fractions. A decimal number uses a dot (.) to separate the whole number part from the fractional part. For instance, in the number 0.55, '0' is the whole number, and '55' is the fractional part.
Decimals are useful because they simplify the representation of fractions. Instead of saying 55 out of 100, you can simply say 0.55.
The Role of Division
Next, let's explore the division aspect of converting percentages to decimals. Percentages are essentially fractions with a denominator of 100.
To convert a percent to a decimal, you divide by 100. This is because the '%' symbol implies 'per 100'. For example, to convert 55% to a decimal, you would perform the operation:
\( 55 \times \frac{1}{100} = 0.55 \)
Mathematical Conversion Steps
Now, let's bring it all together with the mathematical conversion. Converting a percent to a decimal involves a few simple steps:
  • Step 1: Remove the percent sign (%).
  • Step 2: Divide the number by 100.
  • Step 3: Place the result in decimal form.

For example, to convert 0.55% to a decimal:
  • Remove the '%' to get 0.55.
  • Then divide 0.55 by 100: \( 0.55 \div 100 = 0.0055 \).

This is how you convert any percent to its equivalent decimal form. It's a handy skill that simplifies many mathematical tasks!

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Most popular questions from this chapter

Convert the fraction to a percent. $$\frac{5}{12}$$

Explain the difference between \(10 \%\) and \(0.10 \%\)

If 1000 dollar is deposited in an account paying \(8 \%\) interest compounded monthly for 3 years, label the following variables: \(P, r, n,\) and \(t\)

Harvard University reported that 232 African American students were admitted to the freshman class in a recent year. If this represents \(11 \%\) of the total freshman class, how many freshmen were admitted?

Fifty-two percent of American parents have started to put money away for their children's college educations. In a survey of 800 parents, how many would be expected to have started saving for their children's education? (Source: USA TODAY)
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