Problem 84 - Elementary Algebra

Question

Rewrite \(0.97\) as a percent.

Step-by-Step Solution

Answer

97%

Step 1: Understand the Decimal

The decimal number we need to convert to a percent is given as 0.97.

Step 2: Multiply by 100

To convert a decimal to a percentage, multiply the decimal by 100. Mathematically, this is given by \( 0.97 \times 100 \).

Step 3: Simplify the Calculation

Perform the multiplication: \( 0.97 \times 100 = 97 \).

Step 4: Append the Percent Symbol

After multiplying, append the percent symbol (%) to the resulting number. Therefore, 97 becomes 97%.

Key Concepts

multiply by 100

To convert a decimal number into a percent, the first and crucial step is to multiply the decimal by 100. This is because a percent represents a number out of 100. So, if you start with a decimal like 0.97, you're essentially breaking down the part of a whole that the decimal represents.

Mathematically, you take your decimal number and perform the multiplication by 100. For example, with the number 0.97, the computation looks like this: \( 0.97 \times 100 \).

This step transitions your value into a form that is out of 100, making it easy to then transform it into a percentage.

append percent symbol

After you've multiplied your decimal by 100, you will be left with a whole number. This is not the final step, though! The key to turning this number into a percent is appending the percent symbol (%) to your result.

For instance, when you multiply 0.97 by 100, you get 97. But to clearly communicate that this number is a percentage, you need to append the % symbol, making it 97%.

This small addition ensures you are correctly showing the conversion. Remember that any number followed by a % symbol represents its value out of 100.

decimal number conversion

The entire process of decimal number conversion into percent is made up of two simple steps: multiplying by 100 and appending the percent symbol.

Decimals represent fractions of a whole, while percentages show proportions out of 100. This conversion is important as it allows easier comparison and interpretation of data.

For example, a decimal like 0.75 would be converted by \( 0.75 \times 100 = 75 \), then appending the % symbol to give us 75%. This conversion can apply to any decimal number and helps in various real-world applications, such as financial calculations, data analysis, and more.