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Percentages represent a fraction of 100. To convert a percentage to a decimal, we divide by 100. For instance, if you have \[ \frac{1}{2} \] percent, you would divide \[ \frac{1}{2} \] by 100. This can be written as: \[ \frac{1}{2} \div 100 = 0.005 \].This method will help you convert any percentage into its decimal form.

Let's consider another example. To convert \[ 25\% \] into a decimal, divide 25 by 100: \[ 25 \div 100 = 0.25 \].

Always remember to divide by 100, because the definition of a percent is per hundred.

After converting the percentage to a decimal, you can easily use it in further calculations.

Once you've converted the percentage to a decimal, the next step is to multiply by the amount. Multiplying decimals is straightforward if you follow a few basic rules.

Let's use our problem as an example. We need to find out what \[ \frac{1}{2}\text% \] of 40 is. After converting \[\frac{1}{2}\text% \] to 0.005, we proceed to multiply it by 40: \[0.005 \times 40 \].

Here are some tips for multiplying with decimals:

• Ignore the decimals initially and multiply the numbers as if they were whole numbers.
• Count all the decimal places in the numbers you are multiplying.
• Place the decimal in the product to have the same total number of decimal places.

In our example, multiply 5 by 40 to get 200. Since 0.005 has three decimal places, we place the decimal three spots from the right, giving us 0.200, which simplifies to 0.2.

Basic arithmetic calculations are essential for solving many types of problems, involving addition, subtraction, multiplication, and division.

In the context of our example problem, we need multiplication. The steps involve calculating with the decimal obtained from percentage conversion.

Multiplication is one of the four fundamental arithmetic operations. To multiply two numbers, align them by their rightmost digits and multiply each digit, then sum up these partial products accordingly.

Following our example, after converting \text% to a decimal (0.005) and multiplying by 40, we found that: \[0.005 \times 40 = 0.2 \].Here, the product 0.2 is arrived at through solid arithmetic multiplication techniques.

Understanding basic arithmetic thoroughly is crucial, as it forms the foundation for more advanced calculations and problem-solving scenarios.