Problem 54 - Algebra 1: Concepts and Skills

Question

Write the percent as a decimal. \(6.51 \%\)

Step-by-Step Solution

Answer

The decimal equivalent of \(6.51 \%\) is 0.0651.

Step 1: Identify the Percentage Value

The percentage given in the exercise is \(6.51 \%\).

Step 2: Convert Percentage to Decimal

To convert a percent to a decimal, you simply divide the value by 100 or move the decimal point two places to the left. Therefore, \(6.51 \% = \frac{6.51}{100} = 0.0651\).

Key Concepts

decimal conversion

Decimal conversion is the process of changing numbers from one form to another, specifically to the decimal form. It's essential in various mathematical calculations. This conversion is straightforward when dealing with different number formats, like fractions or percentages.

For example:

• If you have a fraction like \( \frac{3}{4} \), you convert it to a decimal by dividing the numerator by the denominator: \( 0.75 \).
• If a whole number is given, say 5, it is already in one of the simplest decimal forms: \( 5.0 \).

Hence, being comfortable with decimal conversions can simplify many calculations you will encounter in mathematics and beyond. Understanding these conversions forms the foundation for more complex operations, such as mathematical analysis or even in practical world applications, like calculating discounts.

percent to decimal

Converting a percent to a decimal is an everyday skill used not just in mathematics, but in many scenarios, like calculating tips or determining interest rates. Understanding how this conversion works enhances your overall numeracy skills.

To convert a percent to a decimal:

• Identify the percentage value, such as \(6.51\%\).
• Either divide the percentage by 100 or move the decimal point two spaces to the left.
• Thus, \(6.51\%\) becomes \(\frac{6.51}{100} = 0.0651\).

The key idea is to remember that percent means "per hundred," so you're essentially expressing the number as a part of 100. Looking at percents as fractions of 100 helps make the conversion more intuitive.

mathematics education

Mathematics education aims to build a solid foundation in various mathematical concepts, including conversions like percent to decimal. These conversions are part of a broader learning goal of enabling students to interpret and understand numbers in various forms.

Here are a few reasons why focusing on such concepts is vital:

• They provide tools for problem-solving in everyday life.
• They strengthen logical reasoning and analytical thinking skills.
• Facilitating better understanding of percentages helps in fields like science, engineering, economics, and finance, where data interpretation is crucial.

Mathematics isn't just about numbers; it’s about developing the thinking processes that use these numbers. An approach in education that emphasizes these skills encourages learners to actively apply mathematical concepts outside the classroom.