Learn on PengiBig Ideas Math, Advanced 1Chapter 15: Percents

Lesson 1: Percents and Decimals

In this Grade 6 lesson from Big Ideas Math Advanced 1, Chapter 15, students learn how to convert between percents and decimals by moving the decimal point two places left or right. The lesson covers writing percents as decimals, writing decimals as percents, and expressing values like fractions, percents, and decimals as equivalent forms. Real-life applications, such as comparing UV ray reflection percentages, help students apply these conversion skills in context.

Section 1

Defining a percent

Property

Percents are a special type of fraction with a denominator of 100. The symbol "%" is used to represent percent. So 420% means 420100\frac{420}{100}, which equals 4.20 as a decimal, or 420 per hundred.

Examples

Section 2

Converting Between Percents and Decimals

Property

To convert a percent to a decimal, drop the % symbol and move the decimal point two places to the left. To convert a decimal to a percent, move the decimal point two places to the right and add the % symbol.

Examples

Section 3

Real-World Percent-Decimal Applications

Property

Real-world situations require converting between percents and decimals to solve problems involving sales tax, tips, discounts, interest rates, and statistical data where percent=decimal×100\text{percent} = \text{decimal} \times 100 and decimal=percent100\text{decimal} = \frac{\text{percent}}{100}.

Examples

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Chapter 15: Percents

  1. Lesson 1Current

    Lesson 1: Percents and Decimals

  2. Lesson 2

    Lesson 2: Comparing and Ordering Fractions, Decimals, and Percents

  3. Lesson 3

    Lesson 3: The Percent Proportion

  4. Lesson 4

    Lesson 4: The Percent Equation

  5. Lesson 5

    Lesson 5: Percents of Increase and Decrease

  6. Lesson 6

    Lesson 6: Discounts and Markups

  7. Lesson 7

    Lesson 7: Simple Interest

Lesson overview

Expand to review the lesson summary and core properties.

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Section 1

Defining a percent

Property

Percents are a special type of fraction with a denominator of 100. The symbol "%" is used to represent percent. So 420% means 420100\frac{420}{100}, which equals 4.20 as a decimal, or 420 per hundred.

Examples

Section 2

Converting Between Percents and Decimals

Property

To convert a percent to a decimal, drop the % symbol and move the decimal point two places to the left. To convert a decimal to a percent, move the decimal point two places to the right and add the % symbol.

Examples

Section 3

Real-World Percent-Decimal Applications

Property

Real-world situations require converting between percents and decimals to solve problems involving sales tax, tips, discounts, interest rates, and statistical data where percent=decimal×100\text{percent} = \text{decimal} \times 100 and decimal=percent100\text{decimal} = \frac{\text{percent}}{100}.

Examples

Book overview

Jump across lessons in the current chapter without opening the full course modal.

Continue this chapter

Chapter 15: Percents

  1. Lesson 1Current

    Lesson 1: Percents and Decimals

  2. Lesson 2

    Lesson 2: Comparing and Ordering Fractions, Decimals, and Percents

  3. Lesson 3

    Lesson 3: The Percent Proportion

  4. Lesson 4

    Lesson 4: The Percent Equation

  5. Lesson 5

    Lesson 5: Percents of Increase and Decrease

  6. Lesson 6

    Lesson 6: Discounts and Markups

  7. Lesson 7

    Lesson 7: Simple Interest