Learn on PengiEureka Math, Grade 5Chapter 13: Partial Quotients and Multi-Digit Decimal Division

Lesson 3: Divide decimal dividends by two-digit divisors, estimating quotients, reasoning about the placement of the decimal point, and making connections to a written method.

In this Grade 5 Eureka Math lesson from Chapter 13, students learn to divide decimal dividends by two-digit divisors using the standard algorithm, including estimating quotients and reasoning about decimal point placement. Students also explore how whole-number division connects to decimal division by examining problems with identical quotients and remainders that represent different values. The lesson builds fluency with renaming tenths and hundredths in unit form as a strategy for applying whole-number division skills to multi-digit decimal division.

Section 1

Dividing Decimals Using the Standard Algorithm

Property

To divide a decimal dividend by a whole number divisor, place the decimal point in the quotient directly above the decimal point in the dividend.
Then, perform the division as you would with whole numbers.

Examples

Section 2

Solving Multi-Step Decimal Division Word Problems

Property

To solve a multi-step word problem, first identify the sequence of operations required (e.g., addition, subtraction, multiplication) and then perform the decimal division.
Break the problem down into smaller, single-step parts to find the final answer.

Examples

Book overview

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Chapter 13: Partial Quotients and Multi-Digit Decimal Division

  1. Lesson 1

    Lesson 1: Divide decimal dividends by multiples of 10, reasoning about the placement of the decimal point and making connections to a written method.

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  2. Lesson 2

    Lesson 2: Use basic facts to approximate decimal quotients with two-digit divisors, reasoning about the placement of the decimal point.

    LearnPractice
  3. Lesson 3Current

    Lesson 3: Divide decimal dividends by two-digit divisors, estimating quotients, reasoning about the placement of the decimal point, and making connections to a written method.

    LearnPractice
  4. Lesson 4

    Lesson 4: Divide decimal dividends by two-digit divisors, estimating quotients, reasoning about the placement of the decimal point, and making connections to a written method.

    LearnPractice

Lesson overview

Expand to review the lesson summary and core properties.

Expand

Section 1

Dividing Decimals Using the Standard Algorithm

Property

To divide a decimal dividend by a whole number divisor, place the decimal point in the quotient directly above the decimal point in the dividend.
Then, perform the division as you would with whole numbers.

Examples

Section 2

Solving Multi-Step Decimal Division Word Problems

Property

To solve a multi-step word problem, first identify the sequence of operations required (e.g., addition, subtraction, multiplication) and then perform the decimal division.
Break the problem down into smaller, single-step parts to find the final answer.

Examples

Book overview

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

Continue this chapter

Chapter 13: Partial Quotients and Multi-Digit Decimal Division

  1. Lesson 1

    Lesson 1: Divide decimal dividends by multiples of 10, reasoning about the placement of the decimal point and making connections to a written method.

    LearnPractice
  2. Lesson 2

    Lesson 2: Use basic facts to approximate decimal quotients with two-digit divisors, reasoning about the placement of the decimal point.

    LearnPractice
  3. Lesson 3Current

    Lesson 3: Divide decimal dividends by two-digit divisors, estimating quotients, reasoning about the placement of the decimal point, and making connections to a written method.

    LearnPractice
  4. Lesson 4

    Lesson 4: Divide decimal dividends by two-digit divisors, estimating quotients, reasoning about the placement of the decimal point, and making connections to a written method.

    LearnPractice