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Percent and decimals

April 9, 2007
by
Khan Academy
YouTube video player
Percent and decimals

TL;DR

Learn how to convert percentages to decimals by moving the decimal point two spaces to the left and removing the percent sign.

Transcript

Let's get started and learn how to convert percentages to decimals. And if we have time maybe we'll also learn how to convert decimals into percentages. So let's get started with what I think is a problem you probably already know how to do. If I said I have 50%. I don't know if I wanted to write that thick, but we'll go with it. Actually, let me c... Read More

Key Insights

  • 🗂️ Converting percentages to decimals involves dividing the percentage by 100.
  • 🤘 When converting a decimal to a percentage, multiply by 100 and add a percent sign.
  • 👾 The decimal point is moved two spaces to the left when converting a percentage to a decimal, and two spaces to the right when converting a decimal to a percentage.
  • 🥺 Leading zeros can be added for clarity but do not affect the value of the number.
  • ❓ The process of converting between percentages and decimals can often be done mentally.
  • 😥 The conversion process involves simply moving the decimal point and removing or adding a percent sign.
  • 🆘 Understanding the relationship between percentages and decimals can help with practical scenarios, such as determining discounts or prices.

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Questions & Answers

Q: How do you convert 50% to a decimal?

To convert 50% to a decimal, divide 50 by 100, which gives you 0.5. Therefore, 50% is equal to 0.5.

Q: How do you convert 16.32% to a decimal?

To convert 16.32% to a decimal, move the decimal point two spaces to the left, resulting in 0.1632. Therefore, 16.32% is equal to 0.1632.

Q: How do you convert 0.25% to a decimal?

To convert 0.25% to a decimal, move the decimal point two spaces to the left, but first, add a leading zero for clarity. The result is 0.0025. Therefore, 0.25% is equal to 0.0025.

Q: How do you convert 1.25 to a percentage?

To convert 1.25 to a percentage, move the decimal point two spaces to the right and add a percent sign, resulting in 125%. Therefore, 1.25 is equal to 125%.

Summary & Key Takeaways

  • Converting a percentage to a decimal is as simple as moving the decimal point two spaces to the left and removing the percent sign.

  • To convert a decimal to a percentage, multiply the decimal by 100 and add a percent sign.

  • The important concept to remember is that when converting from a percentage to a decimal, the number becomes smaller, while converting from a decimal to a percentage makes the number larger.


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