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Chapter 6: Problem 49

Find percent notation. $$ 0.017 $$

Short Answer

Expert verified
1.7%

Step by step solution

01

Identify Decimal

First, note that the number provided is a decimal: 0.017.
02

Convert to Percentage

To convert the decimal to a percentage, multiply it by 100. \( 0.017 \times 100 = 1.7 \)
03

Add Percentage Symbol

Finally, add the percentage symbol to the result: 1.7%.

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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 simple yet crucial mathematical operation. Let鈥檚 break it down: A decimal represents a part of a whole number. For instance, the number 0.017 is a small fraction of 1. To express this as a percentage, you need to follow a few simple steps. You multiply the decimal by 100. This is because a percentage represents parts per hundred. For example:
  • Take 0.017 and multiply it by 100. This gives us 1.7.
  • Next, add the percentage symbol (%) to the result. This means 0.017 is equal to 1.7%.
Remember, multiplying by 100 shifts the decimal point two places to the right, instantly transforming your decimal into a percentage! Now, you can say you have converted 0.017 to 1.7%.
Mathematics Step-by-Step Solutions
Understanding mathematics often requires breaking down problems into smaller, manageable steps. Let's revisit the conversion problem using a step-by-step approach to reinforce your learning.

  • Step 1: Identify Decimal 鈥� Note that the number you have is a decimal. In this case, it鈥檚 0.017.
  • Step 2: Convert to Percentage 鈥� Multiply this decimal by 100. So, 0.017 multiplied by 100 equals 1.7.
  • Step 3: Add Percentage Symbol 鈥� Add the percentage sign (%) to the resultant number. Hence, 0.017 becomes 1.7%.
Not only does this methodical approach. helps. simplify the problem, but it also ensures that you understand each step in the conversion process thoroughly.
Basic Mathematics Concepts
Grasping basic mathematics concepts is essential for solving everyday problems. Here, the concept of converting decimals to percentages is fundamental. Let's link this to broader themes in mathematics:

  • Decimals 鈥� These are fractions of a whole number represented in a base-10 format. For example, 0.5 is the same as \(\frac{1}{2}\).
  • Percentages 鈥� These express a number as a fraction of 100. Thus, 50% equals \(\frac{50}{100}\) or simply 0.5.
  • Basic Operations 鈥� Multiplication and addition are foundational operations. Multiplying by 100 to convert a decimal to a percentage is a simple yet powerful tool.
Understanding these basic principles helps one solve more complex mathematical problems with ease. Learning to convert a decimal to a percentage is an excellent way to apply these basic operations practically.

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