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Chapter 6: Problem 20

Find decimal notation. $$ 0.12 \% $$

Short Answer

Expert verified
0.0012

Step by step solution

01

Understand the Percent Notation

The percentage given is 0.12%. Percent means per hundred. So, 0.12% is the same as 0.12 per 100.
02

Convert Percentage to Decimal Form

To convert a percentage to a decimal, divide by 100. Therefore, calculate 0.12 梅 100.
03

Perform the Division

Perform the division to get the decimal form. 0.12 梅 100 = 0.0012.

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Key Concepts

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

Percent to Decimal Conversion
When converting a percentage to a decimal, you're shifting from the idea of 'per hundred' to a straightforward decimal number. A percentage represents a part out of 100, and to make this switch, you divide by 100. Think of it like this: you're spreading the number out over 100 equal parts.
In our example, we have 0.12%. To find the corresponding decimal, we simply perform the division by 100:
0.12 梅 100.
This is how you convert any percentage to a decimal. Remember, the key is dividing by 100. This step transforms 0.12% into 0.0012. This process can be applied broadly to any percent value.
Basic Mathematics
This topic involves understanding fundamental operations and the basics of numbers. Percentages and decimals are integral parts of basic math.
Understanding that percent means per hundred is crucial. This concept connects fractions, decimals, and percentages. Knowing how to shift between these forms builds a strong foundation in mathematics.
Key points to remember:
  • Percentages represent a part of 100.
  • Decimals are another way to display fractional values.
  • Division by 100 converts a percentage to a decimal.
The exercise of converting 0.12% into a decimal helps reinforce these basic mathematical principles.
Division
Division is a core mathematical operation essential for many calculations. It helps in breaking down numbers into smaller parts.
In our example, to convert 0.12% to a decimal, division is used. Specifically, we divide by 100 because percent means per 100.
Here's the division step broken down:
  • The percentage in question: 0.12%.
  • Perform the division: 0.12 梅 100.
  • The resulting decimal is 0.0012.

This simple division step demonstrates how dividing by 100 adjusts the decimal point, moving it to places to the left. This performance of division reaffirms how division plays a critical role in converting percentages to decimals.

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