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What decimal representation corresponds to 5%?

  1. 0.05

  2. 0.10

  3. 0.15

  4. 0.20

The correct answer is: 0.05

To convert a percentage into a decimal, you divide the percentage by 100. In this case, to convert 5% into a decimal, you take 5 and divide it by 100. This gives you 0.05. The concept stems from the fact that percentages are essentially a way of expressing a number as a fraction of 100. Therefore, when we write 5%, we are stating that we have 5 parts out of 100. Dividing by 100 shifts the percentage two decimal places to the left, resulting in the decimal form of 0.05. It's beneficial to understand that this conversion process applies consistently for any percentage. For example, 10% would be converted to 0.10, 15% to 0.15, and 20% to 0.20 by following the same method. Hence, 5% clearly corresponds to the decimal representation of 0.05.