Learn on PengiBig Ideas Math, Advanced 1Chapter 2: Fractions and Decimals

Lesson 6: Dividing Decimals

In this Grade 6 lesson from Big Ideas Math Advanced 1, students learn how to divide decimals by both whole numbers and other decimals, including the technique of multiplying the divisor and dividend by a power of 10 to convert decimal division into whole number division. The lesson begins with hands-on base ten block models to build conceptual understanding before introducing the standard algorithm for placing the decimal point in the quotient. It aligns with Common Core standard 6.NS.3 and is part of Chapter 2: Fractions and Decimals.

Section 1

Dividing Decimals by Converting to Whole Numbers

Property

If we multiply both numbers by the same number, the result of the division is the same. So, we can multiply both numbers by 10 as many times as we need to to make the divisor a whole number.
Then we proceed as with whole number division.

Examples

  • To solve 24.5÷0.524.5 \div 0.5, move the decimal one place in both numbers to get the equivalent problem 245÷5245 \div 5, which equals 4949.
  • To solve 8.82÷1.48.82 \div 1.4, move the decimal one place in both numbers to get 88.2÷1488.2 \div 14, which equals 6.36.3.

Book overview

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Chapter 2: Fractions and Decimals

  1. Lesson 1

    Lesson 1: Multiplying Fractions

  2. Lesson 2

    Lesson 2: Dividing Fractions

  3. Lesson 3

    Lesson 3: Dividing Mixed Numbers

  4. Lesson 4

    Lesson 4: Adding and Subtracting Decimals

  5. Lesson 5

    Lesson 5: Multiplying Decimals

  6. Lesson 6Current

    Lesson 6: Dividing Decimals

Lesson overview

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Section 1

Dividing Decimals by Converting to Whole Numbers

Property

If we multiply both numbers by the same number, the result of the division is the same. So, we can multiply both numbers by 10 as many times as we need to to make the divisor a whole number.
Then we proceed as with whole number division.

Examples

  • To solve 24.5÷0.524.5 \div 0.5, move the decimal one place in both numbers to get the equivalent problem 245÷5245 \div 5, which equals 4949.
  • To solve 8.82÷1.48.82 \div 1.4, move the decimal one place in both numbers to get 88.2÷1488.2 \div 14, which equals 6.36.3.

Book overview

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

Continue this chapter

Chapter 2: Fractions and Decimals

  1. Lesson 1

    Lesson 1: Multiplying Fractions

  2. Lesson 2

    Lesson 2: Dividing Fractions

  3. Lesson 3

    Lesson 3: Dividing Mixed Numbers

  4. Lesson 4

    Lesson 4: Adding and Subtracting Decimals

  5. Lesson 5

    Lesson 5: Multiplying Decimals

  6. Lesson 6Current

    Lesson 6: Dividing Decimals