Podcast
Questions and Answers
To convert a percentage to a decimal, simply remove the percent symbol '%' and place the decimal point before the last digit, moving it two positions to the ______.
To convert a percentage to a decimal, simply remove the percent symbol '%' and place the decimal point before the last digit, moving it two positions to the ______.
left
If the decimal value starts with a leading zero, ______ it.
If the decimal value starts with a leading zero, ______ it.
retain
Steps to convert percentages to decimals: 1. Remove the percent sign '%'. 2. Place the decimal point exactly two positions to the ______ of the remaining digits.
Steps to convert percentages to decimals: 1. Remove the percent sign '%'. 2. Place the decimal point exactly two positions to the ______ of the remaining digits.
left
To convert a fraction percentage to a decimal, first convert the fraction to a decimal. Second, remove the decimal point and place it exactly two positions to the ______ of the remaining digits.
To convert a fraction percentage to a decimal, first convert the fraction to a decimal. Second, remove the decimal point and place it exactly two positions to the ______ of the remaining digits.
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Example: Convert 100% to a decimal: 100% = ______.
Example: Convert 100% to a decimal: 100% = ______.
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Example: Convert 15% to a decimal: 15% = ______.
Example: Convert 15% to a decimal: 15% = ______.
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Study Notes
Converting Percent to Decimal: A Detailed Guide
Understanding Percentages
A percentage represents a fraction of a whole. One percent indicates one part out of every hundred parts. For instance, 10% means ten parts out of every hundred: [\frac{1}{10}=\frac{1}{100}=0.1,%.]
Converting Percentages to Decimals
To convert a percentage to a decimal, simply remove the percent symbol % and place the decimal point before the last digit, moving it two positions to the left. For example, to convert 30% to a decimal, we get (0.3). If the decimal value starts with a leading zero, retain it. For instance, to convert 2.5% to a decimal, we obtain (0.025).
Steps to Convert Percentages to Decimals
- Remove the percent sign
%. - Place the decimal point exactly two positions to the left of the remaining digits.
Converting Fraction Percentages to Decimals
To convert a fraction percentage, such as (2/3,%), follow these steps:
- Convert the fraction to a decimal, if necessary. For example, (2/3=0.666666\dots).
- Remove the decimal point and place it exactly two positions to the left of the remaining digits.
For instance, to convert (2/3,%) to a decimal, we first convert (2/3) to (0.666666\dots), then remove the decimal point and place it two positions to the left, yielding (0.02).
Examples
- Convert (100,%) to a decimal: (100,%=1).
- Convert (25,%) to a decimal: (25,%=0.25).
- Convert (15,%) to a decimal: (15,%=0.15).
Conclusion
Converting percentages to decimals simplifies arithmetic operations and ensures accuracy when dealing with percentages. By following the steps outlined above, you can confidently convert any percentage to its decimal equivalent.
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Description
Learn how to convert percentages to decimals with this detailed guide, including step-by-step instructions and examples. Understand the concept of percentages and how to perform the conversion accurately for fractions as well. Master the skill of converting percentages to decimals for easy arithmetic calculations.
