Problem 51 - Algebra 1: Concepts and Skills

Question

Write the percent as a decimal. \(45 \%\)

Step-by-Step Solution

Answer

The decimal representation of \(45\%\) is 0.45.

Step 1 Identify the Percentage to Convert

There is \(45\%\) given in the problem which we need to convert into decimal.

Step 2 Convert the Percentage into Decimal

To convert the percentage into a decimal, move the decimal point two places to the left. You get 0.45.

Key Concepts

Percentages

A percentage is a way to express a number as a fraction of 100. When you see a percentage, it is telling you how many parts out of 100 you are dealing with. For example, when you have 45%, it essentially means 45 out of 100.
Think of it as a shortcut to represent ratios that are handy for comparing different quantities. We use percentages in many everyday life scenarios, such as discounts when shopping, calculating tips at restaurants, or even understanding data in charts and graphs.
It simplifies complex numbers and makes it easy to grasp their relative size. By understanding percentages, you'll have a powerful tool to better understand proportions and changes in data.

Decimals

Decimals are another form of expressing numbers, particularly fractions, using a base-10 system. When you see a number like 0.45, it means 45 hundredths—just like writing it fractionally would be 45/100.
Decimals are crucial because they are used in calculations involving money, measurements, and precise scientific data. Decimals help us represent fractions in a form that is easy to use with standard arithmetic operations such as addition, subtraction, multiplication, and division.
They follow a specific placement value system where the position of each number has a mathematical significance, determining whether it's tenths, hundredths, thousandths, and so on.

Converting Percentages

Converting percentages to decimals is a simple yet essential mathematical skill. This conversion allows for easier calculations and interpretations in various mathematical problems.
Let’s look at converting 45% into a decimal. To convert a percentage into a decimal, follow these straightforward steps:

• Identify the percentage you intend to convert, in this case, 45%.
• Move the decimal point two places to the left. For 45%, the conversion is:
  45.0% becomes 0.45.
• Therefore, 45% as a decimal is 0.45.

Once you understand this process, you can convert any percentage to a decimal efficiently.
By practicing this, you'll effortlessly switch between percentages and decimals in any math task or everyday life situation.