2. Conversion between percent and decimal fraction.

Deepen your knowledge with an interactive video lesson on this topic in our app. Quizzes and pauses will help you better absorb the material!

Let's assume that percentages and decimals are twins who change their clothes depending on the situation. By converting percentages to decimals or vice versa, we simply help them choose the right outfit! We dress up numbers in Percentage clothes or Decimal clothes. If you have percentages and you want to convert them into decimals, follow these steps: The percentage sign (%) means "out of a hundred", so to get a decimal, you divide the percentage number by 100. For example, converting 20% to a decimal: 20 ÷ 100 = 0.2. But an easier way is to move the point to the left (decimal point shifting). Another method is to move the point two places to the left. For example: 20% becomes 0.20 or 0.2. Now use your knowledge and solve the problems. If you have a decimal and you want to convert it into percentages, do this: To convert a decimal to a percentage, you multiply it by 100. For example, converting the decimal 0.3 to percentage: 0.3 x 100 = 30%. Another method is to move the point two places to the right. For example: 0.3 becomes 30%. And when you convert decimals, remember to add the percentage sign (%) because you're talking about percentages! Now use your knowledge and solve the problems. Well done! Here are some more problems. But be careful. I hope the knowledge about shifting the decimal point was helpful; if you forgot, definitely watch again. And here's an additional task - Find out on your own what someone means when they claim "I'm ready one hundred and ten percent". Be attentive.

Mastering Percent to Decimal Conversion - A Step-by-Step Guide

Unlocking the Mystery of Percentages and Decimals

Understanding the conversion between percentages and decimal fractions is like learning a secret language of numbers. It's simpler than it seems once you learn the tricks. Let's dive deeper into this topic, expanding on what you've learned in your video lesson with some fresh examples and methods.

Turning Percentages into Decimals Made Easy

Remember how percentages are really just fractions of 100? This means converting them into decimals doesn't require complex math - just a simple shift of the decimal point. For instance, let's transform 75% into a decimal. Following our quick method, we move the decimal point two places to the left. So, 75% turns into 0.75. Easy right?

Example: Convert 45% to a decimal. Solution: Moving the decimal two places left gives us 0.45.

Decimals to Percentages: A Snap

Turning decimals into percentages is just as straightforward. By moving the decimal point two places to the right, we find our percentage. Remember, adding the '%' symbol is crucial here to indicate that we're dealing with a percentage.

Example: Convert 0.68 to a percentage. Solution: Shifting the decimal point rightwards gives us 68%.

Through these methods, we not only learn the 'how' but understand the 'why' behind the conversion. This enriches our math skills, making us more proficient in handling various problems.

Let's Practice More!

Now that we've covered the basics, try converting the following on your own:

  • Convert 25% to a decimal.
  • Turn 0.02 into a percentage.

These examples reinforce the conversion methods, cementing your understanding of the relationship between percentages and decimals.