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Understanding how to convert a percentage to a decimal is a fundamental math skill that is often necessary to solve various problems involving percentages. This conversion is straightforward and simply requires dividing the percentage by 100.

For example, to convert 6.5% to a decimal, divide 6.5 by 100, which equals 0.065. It's as if you're shifting the decimal point two places to the left. Here's why that works: the word 'percent' actually means 'per hundred', so when you have 6.5%, it's the equivalent of 6.5 per 100 or 6.5/100.

• 20% becomes 0.20
• 50% becomes 0.50
• 100% becomes 1.00

This conversion is crucial because it enables us to perform other calculations involving percentages more easily, as you'll soon see in calculations involving proportions and multiplications.

Once you've converted a percentage into a decimal, calculating a percentage of a number involves a simple multiplication. This is because the decimal form represents the actual 'part' of the whole you're seeking.

To find what 6.5% of 300 is, after converting the percentage to a decimal, which is 0.065 as shown before, you would multiply this decimal by the whole number. The equation will look like this: \[ 0.065 \times 300 \.\] This step is the heart of the proportion method in percentages, where the term 'proportion' reflects the idea of a part in relation to the whole.

Quick Tips for Success

Always double-check your decimal conversion, and remember to maintain the precision in your decimal (don't round too early), as this can affect your final answer.

The final step in finding a percentage of a number often involves multiplying the decimal you've obtained by the whole number. Multiplication of decimals doesn't differ much from regular multiplication, but care must be taken to correctly place the decimal point in the answer.

When multiplying decimals, such as 0.065 and 300, it's helpful to think of the decimal as a regular whole number initially. Multiply 65 (ignoring the decimal) by 300 which equals 19500. Since the decimal in 0.065 has two places, you need to put the decimal back in, moving two places from the right, which gives the final result of 19.5.

Useful Practices

Always keep an eye on the number of decimal places in both numbers you're multiplying. The total number of decimal places in the result should equal the sum of the decimal places in both numbers being multiplied. It is also helpful to perform the multiplication without considering the decimal and then adjust the decimal point after the multiplication is complete.