Converting Percents To Decimals And Decimals To Percents

🔑 Key Concepts

  • A percent is a ratio out of 100.
  • Converting a percent to a decimal means dividing by 100.
  • Dividing by 100 moves the decimal point two places to the left.
  • Converting a decimal to a percent means multiplying by 100.
  • Multiplying by 100 moves the decimal point two places to the right.

✏️ Worked Examples

🧠 Math Vocabulary

  • Percent: A ratio that compares a number to 100.
  • Decimal: A number written using place value and a decimal point.
  • Equivalent Forms: Different representations of the same value.
  • Numerator: The top number of a fraction.
  • Denominator: The bottom number of a fraction.

💡 Main Idea

In this lesson, students learn how to convert percentages into decimals. Since a percent represents a value out of 100, converting a percent to a decimal is the same as dividing by 100. This moves the decimal point two places to the left. Understanding this relationship helps students connect fractions, decimals, and percents.

📚 What You Should Already Know

Students should understand basic fractions, decimal place value, and the meaning of a percent. It is helpful to know that percent literally means "per hundred" or "out of 100."

🚀 What Comes Next

After converting percents to decimals, students can convert decimals to percents, convert fractions to percents, solve percent word problems, and work with percent increase and percent decrease applications.

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