Problem 59 - Prealgebra

Question

Write as a percent. $$0.96$$

Step-by-Step Solution

Answer

0.96 is 96%.

Step 1: Understand the Decimal to Percent Conversion

When converting a decimal to a percent, you need to realize that percent means out of 100. Thus, you multiply the decimal by 100 to convert it into a percentage.

Step 2: Perform the Conversion

To convert the decimal 0.96 into a percent, multiply it by 100: \[ 0.96 \times 100 = 96 \]

Step 3: Assemble Your Answer

Add the percent symbol (%) to the result from Step 2. Thus, 0.96 as a percent is 96%.

Key Concepts

Percent Notation

Percent notation is a way of expressing numbers as parts of 100. When you think of something in percent terms, imagine breaking it into one hundred equal parts. This is why the symbol (%) is also known as "per cent," meaning "per hundred." For example, when you read 50%, this equates to 50 out of 100. Percentages help compare quantities on a common scale, simplifying expressions and understanding proportions. It's important to place the percent symbol next to the number to clearly indicate that it represents a part of 100. This notation is universal in many fields, such as finance, mathematics, and science.

Multiplying by 100

The act of multiplying by 100 is central to converting decimals to percentages. This process shifts the decimal point two places to the right, effectively translating a fraction into its equivalent percentage form.Here's how it works: when you have a decimal like 0.96, multiplying by 100 alters the number into something more relatable, like 96%. Mathematically, it means you are scaling the original number up by 100. So \[ 0.96 \times 100 = 96 \] This step ensures that you properly express the decimal in percent notation while maintaining accuracy and clarity.

Converting Decimals

Converting decimals to percentages is a straightforward process, crucial for interpreting various data sets and performing calculations. This conversion process follows a clear pattern:

• Take any decimal number.
• Multiply the decimal by 100 to move the decimal point two places to the right.
• Add the percent symbol to the result.

For example, converting 0.96 involves multiplying it by 100, which gives you 96, and then marking it as 96%. Understanding this conversion simplifies many mathematical operations and increases the ease with which numerical information can be communicated and understood.