Verified Answer :

  • Convert decimals to percentages by multiplying each number by 100 and adding the percent symbol (%).
  • For \(0.82\), the percentage is \(82\%\).
  • For \(0.99\), the percentage is \(99\%\).
  • For \(0.03\), the percentage is \(3\%\).
  • For \(0.47\), the percentage is \(47\%\).
  • The final results are \(\boxed{82\%, 99\%, 3\%, 47\%}\).

Explanation

  1. Analysis of the Conversion Process

To convert a decimal number to a percentage, we multiply the decimal value by \(100\) and append the percent symbol (\(\%\)). Mathematically, if \(d\) is the decimal, the corresponding percentage \(p\) is given by \(p = d \times 100\%\). Conceptually, this operation is equivalent to shifting the decimal point two places to the right. We will apply this rule to each of the given decimals: \(0.82\), \(0.99\), \(0.03\), and \(0.47\).

  1. Step-by-Step Conversions

We perform the conversion for each value:

  • For \(0.82\): \(0.82 \times 100 = 82\). Thus, \(0.82 = 82\%\).
  • For \(0.99\): \(0.99 \times 100 = 99\). Thus, \(0.99 = 99\%\).
  • For \(0.03\): \(0.03 \times 100 = 3\). Thus, \(0.03 = 3\%\).
  • For \(0.47\): \(0.47 \times 100 = 47\). Thus, \(0.47 = 47\%\).
  1. Conclusion and Final Answers

The conversion results are as follows:
5.) \(0.82 = 82\%\)
16.) \(0.99 = 99\%\)
9.) \(0.03 = 3\%\)
20.) \(0.47 = 47\%\)

Final answers are \(\boxed{82\%, 99\%, 3\%, 47\%}\).

Examples

Percentages are widely used in daily life to represent proportions of a whole, such as sales discounts, interest rates, or the portion of battery life remaining on your phone. For example, if a store offers a 0.25 discount on an item, multiplying by 100 tells you it is a 25% off sale, making it easier to calculate how much you will save on your purchase. Understanding this simple conversion allows you to interpret data quickly and make informed financial decisions.

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