Problem 75 - Algebra 1: Concepts and Skills

Question

Write the decimal as a percent. $$ 0.63 $$

Step-by-Step Solution

Answer

The decimal \(0.63\) as a percent is \(63\%\).

Step 1: Identification of the decimal number

The decimal number that needs to be converted into a percent is \(0.63\).

Step 2: Convert decimal to percent

To convert a decimal to a percent, move the decimal point two places to the right. The decimal point is currently before the 6. After moving two places to the right, it is now after the 3. The number is now \(63\).

Step 3: Append the Percent Sign

You add the percent sign (%) to the number obtained from step 2, resulting in \(63\%\).

Key Concepts

Percentage Calculation

Converting a decimal to a percentage is a fundamental skill that helps in a variety of real-life math problems, like calculating discounts or interest rates. The process is straightforward and involves just a few simple steps.
To convert a decimal into a percentage, you essentially multiply the decimal number by 100. This is because a percentage represents a number out of 100. For the decimal 0.63, multiplying by 100 shifts the decimal point two places to the right, transforming it into 63.

• Identify the decimal: For instance, 0.63
• Move the decimal two places right: This changes 0.63 to 63
• Affix the percent symbol (%) to denote that the number represents a percentage

This simple conversion shows how percentages are just a different form of expressing parts of a whole. By understanding this step-by-step conversion, you strengthen your basic math skills which are essential for more complex calculations.

Math Skills

Mastering the conversion between decimals and percentages enhances your math skills significantly. This understanding allows you to solve practical problems more efficiently. Whether you're calculating a tip at a restaurant or determining the amount of sales tax added to a purchase, these skills are very beneficial.
Strong math skills lead to better analytical thinking and problem-solving abilities. These skills are crucial when dealing with percentages because such calculations are not limited to classrooms; they appear in everyday decision-making. For instance, when you see a 15% discount on a product, knowing how to quickly convert this into a decimal can help determine if the savings are significant.
Using percentages also makes information more accessible and easier to compare. Imagine looking at data sets where you can immediately grasp the differences through percentage changes rather than raw numbers. Thus, regularly exercising these math skills, especially in percentage calculations, prepares you for diverse applications in real life.

Decimal Representation

Decimals are one of the ways we represent numbers that are not whole. They are particularly useful in representing fractions, wherein the decimal point separates the integer part from the fractional part. Understanding decimals ensures a smooth conversion into other forms like fractions and percentages.

• The decimal 0.63 represents 63 parts out of 100.
• Decimals provide accuracy in measurements and calculations, for instance, when pricing items.
• This representation is crucial for expressing very small or very large quantities succinctly.

Knowing how to seamlessly transform decimals into percentages means you can interchangeably use whatever form suits your problem-solving needs best. Decimals like 0.63 can quickly turn into 63% when relatable comparisons or evaluations are required. The knowledge of decimal representation, when coupled with understanding percentages, enhances the ability to work with various numeral systems effectively.