Problem 78 - Algebra A Combined Function

Question

Write each decimal as a percent. $$ 3 $$

Step-by-Step Solution

Answer

The decimal 3 as a percent is 300%.

Step 1: Understand the Conversion

To convert a decimal to a percent, we need to understand the relationship between the two. A percent is essentially a decimal multiplied by 100.

Step 2: Multiply the Decimal by 100

Take the decimal number 3 and multiply it by 100 to convert it into a percent. This is done as follows: \[3 \times 100 = 300\]

Step 3: Add the Percent Symbol

Once the multiplication is complete, the resulting number is a percentage. Add the percent symbol (%) to indicate that the number is now a percent.

Step 4: Write the Final Answer

The final answer, after converting the decimal to a percent, is 300%. This is the equivalent of the decimal number 3 expressed as a percent.

Key Concepts

Decimal to Percent Conversion

Converting decimals to percent is a straightforward process that allows you to express a decimal in terms of percentages. This helps in comparing and contrasting numerical values more effectively. When you see a decimal, remember that it can represent a part of a whole.

• The process involves recognizing that 1 whole is equivalent to 100%, so any decimal part of that whole can be converted into a percentage for clarity in representation.
• Take for example the decimal 3. While it may initially seem confusing to convert a whole number to percent, the process remains consistent even with decimals greater than 1.

By understanding this basic relationship, you can confidently convert any decimal to a percentage.

Multiplying by 100

The key step in converting a decimal to a percent is the multiplication by 100. This step elevates the decimal into a percentage by shifting its value two places to the right on the number scale.

• For the decimal number 3, multiplying by 100 means calculating: \(3 \times 100 = 300\).
• This multiplication step is essential because each percent is one-hundredth of a whole, so the decimal must be multiplied by 100 to account for this relationship.

Remember, multiplying by 100 is not about changing the value's meaning, but about expressing it in terms of percentages.
To convey a decimal accurately as a percentage, this multiplication is crucial.

Adding the Percent Symbol

After multiplying a decimal by 100, the last step is to add the percent symbol. The percent symbol (%) transforms the numerical figure into a percentage, which communicates that the number represents parts per hundred.

• In the example of our decimal number 3, after multiplication, we obtain 300.
• Adding the percent symbol converts it into 300%, clearly indicating this is a percentage value.

The inclusion of the percent symbol is essential because it signals to the reader that the number is now a part of a complete 100. It wraps up the conversion process, ensuring the number is correctly interpreted as a percentage. Always remember to include the percent symbol in any final answer to avoid any confusion.