Short Answer

To convert a decimal into a percentage, we multiply the decimal by 100 and then add the percent symbol “%”. This changes the decimal into a form that shows parts out of 100, which is easier to understand and compare.

For example, if we have 0.75, we multiply it by 100 to get 75%. So, converting decimals into percentages is a simple and useful method used in everyday calculations.

Detailed Explanation:

Convert decimals into percentages

Converting decimals into percentages means expressing a decimal number as parts out of 100. A decimal represents a value in fraction form, while a percentage represents the same value but in terms of 100. So, when we convert a decimal into a percentage, we are simply changing its form without changing its actual value.

The main rule for conversion is very simple. We multiply the decimal number by 100 and then add the percent symbol “%”. This works because percentage means “per hundred”. For example, if we take a decimal like 0.5, multiplying by 100 gives 50%. This means 0.5 is equal to 50 out of 100.

Step 1 multiply by 100

The first step in conversion is to multiply the decimal by 100. This shifts the decimal point two places to the right. For example, 0.25 becomes 25, and 0.08 becomes 8. This step changes the decimal into a number that represents parts out of 100.

Step 2 add percent symbol

After multiplying by 100, we add the percent symbol “%” to the number. This shows that the value is now expressed as a percentage. For example, 0.25 becomes 25%, and 0.08 becomes 8%.

Working examples

Let us look at some examples to understand clearly. If we take 0.6, multiplying by 100 gives 60%, so 0.6 = 60%. If we take 0.125, multiplying by 100 gives 12.5%, so 0.125 = 12.5%. These examples show how decimals can be easily converted into percentages.

Importance of conversion

Converting decimals into percentages is very useful in daily life. It is used in many areas such as exam results, discounts, profit and loss, and bank interest. Percentages are easier to compare and understand than decimals, so this conversion helps in making quick decisions.

Use in daily life

In real life, we often see percentages in shops, schools, and banks. For example, a discount of 20% means we save 20 out of every 100 units of money. Similarly, marks in exams are often given in percentages to show performance clearly.

Easy comparison

Percentages help in comparing different values easily. For example, comparing 0.8 and 0.75 may be confusing, but 80% and 75% are easier to compare. This is why converting decimals into percentages is very helpful.

Conclusion

Converting decimals into percentages is a simple process of multiplying by 100 and adding the percent symbol. It helps to express values clearly and makes comparison easier in everyday situations.