Learn on PengienVision, Mathematics, Grade 6Chapter 1: Use Positive Rational Numbers

Lesson 1: Fluently Add, Subtract, and Multiply Decimals

In this Grade 6 lesson from enVision Mathematics Chapter 1, students develop fluency with adding, subtracting, and multiplying decimals, focusing on aligning place values, annexing zeros as placeholders, and determining decimal placement in products. The lesson covers Common Core standard 6.NS.B.3 through real-world contexts such as race times and area calculations. Students also learn to estimate with decimals to verify the reasonableness of their answers.

Section 1

Add and Subtract Decimals

Property

To add or subtract decimals, line up the numbers by their decimal points. Then, add or subtract as you would with whole numbers, bringing the decimal point straight down into your answer.

Examples

Section 2

Multiply Decimals

Property

To multiply decimal numbers, first multiply the numbers as if they are whole numbers, ignoring the decimal points. The product will have the same number of decimal places as the total number of decimal places in the factors.

Examples

Section 3

Applying the Rule for Decimal Point Placement

Property

When multiplying decimals, count the total decimal places in both factors to determine decimal places in the product:
If factor 1 has mm decimal places and factor 2 has nn decimal places, then the product has m+nm + n decimal places.
When the product doesn't have enough digits, insert leading zeros after the decimal point.

Examples

Book overview

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Chapter 1: Use Positive Rational Numbers

  1. Lesson 1Current

    Lesson 1: Fluently Add, Subtract, and Multiply Decimals

  2. Lesson 2

    Lesson 2: Fluently Divide Whole Numbers and Decimals

  3. Lesson 3

    Lesson 3: Multiply Fractions

  4. Lesson 4

    Lesson 4: Understand Division with Fractions

  5. Lesson 5

    Lesson 5: Divide Fractions by Fractions

  6. Lesson 6

    Lesson 6: Divide Mixed Numbers

  7. Lesson 7

    Lesson 7: Solve Problems with Rational Numbers

Lesson overview

Expand to review the lesson summary and core properties.

Expand

Section 1

Add and Subtract Decimals

Property

To add or subtract decimals, line up the numbers by their decimal points. Then, add or subtract as you would with whole numbers, bringing the decimal point straight down into your answer.

Examples

Section 2

Multiply Decimals

Property

To multiply decimal numbers, first multiply the numbers as if they are whole numbers, ignoring the decimal points. The product will have the same number of decimal places as the total number of decimal places in the factors.

Examples

Section 3

Applying the Rule for Decimal Point Placement

Property

When multiplying decimals, count the total decimal places in both factors to determine decimal places in the product:
If factor 1 has mm decimal places and factor 2 has nn decimal places, then the product has m+nm + n decimal places.
When the product doesn't have enough digits, insert leading zeros after the decimal point.

Examples

Book overview

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

Continue this chapter

Chapter 1: Use Positive Rational Numbers

  1. Lesson 1Current

    Lesson 1: Fluently Add, Subtract, and Multiply Decimals

  2. Lesson 2

    Lesson 2: Fluently Divide Whole Numbers and Decimals

  3. Lesson 3

    Lesson 3: Multiply Fractions

  4. Lesson 4

    Lesson 4: Understand Division with Fractions

  5. Lesson 5

    Lesson 5: Divide Fractions by Fractions

  6. Lesson 6

    Lesson 6: Divide Mixed Numbers

  7. Lesson 7

    Lesson 7: Solve Problems with Rational Numbers