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Chapter 6: Problem 21

Find decimal notation. $$ 0.18 \% $$

Short Answer

Expert verified
0.0018

Step by step solution

01

- Understand Percent

A percent means 'per hundred'. So, 1% is the same as \( \frac{1}{100} \).
02

- Convert Percentage to Fraction

Convert 0.18% to a fraction: \[ 0.18\% = \frac{0.18}{100} \]
03

- Simplify the Fraction

0.18 divided by 100 is \( 0.0018 \). So, \[ \frac{0.18}{100} = 0.0018 \]

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Key Concepts

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

Percentage Conversion
Converting percentages to other forms is a common mathematical operation. Students often see percentages in daily life. A percent means 'per hundred.' For instance, 5% is the same as saying 5 out of every 100. Converting percentages to fractions is the first step. You start by writing the percentage as a number over 100.

For example, if you have 0.18%, you need to convert it to a fraction. So, you write it as \(\frac{0.18}{100}\). This step is crucial because it sets the stage for further simplification.
Fraction Simplification
After converting a percentage to a fraction, the next step is simplification. Simplifying a fraction makes it easier to understand and work with. Basic fractions may already be as simple as possible. However, in some cases, they can be simplified further.

For instance, we've turned 0.18% into the fraction \(\frac{0.18}{100}\). To simplify it, you perform the division: \(0.18 \div 100\). This gives you a decimal value of 0.0018. Thus, 0.18% as a simplified fraction is 0.0018.
Mathematics Tutorial
Mathematics tutorials are essential for mastering concepts. Breaking down steps is crucial for comprehension. Let's recap the process of converting percentage to decimal.

  • Identify the percentage: 0.18%
  • Convert percentage to fraction: \(\frac{0.18}{100}\)
  • Simplify the fraction: 0.0018
Following these steps can demystify what seems like a complex process. Practicing these methods enhances understanding and confidence in handling percentages and fractions.

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Most popular questions from this chapter

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