Learn on PengiEureka Math, Grade 4Chapter 30: Tenths and Hundredths

Lesson 1: Use meters to model the decomposition of one whole into hundredths. Represent and count hundredths.

In this Grade 4 Eureka Math lesson from Chapter 30, students use a meter stick and paper strip to understand that one whole meter can be decomposed into 100 equal parts called hundredths, recognizing that 1 centimeter equals one hundredth of a meter. Students learn to represent hundredths as fractions and in decimal notation, for example writing 3/100 as 0.01 and 0.03. The lesson builds on prior work with tenths, connecting measurement units to fraction and decimal concepts.

Section 1

Represent One Hundredth as a Decimal

Property

The unit fraction one hundredth, 1100\frac{1}{100}, is equivalent to the decimal 0.010.01.

1100=0.01 \frac{1}{100} = 0.01

Examples

Section 2

Composing and Decomposing Numbers with Hundredths

Property

Numbers with hundredths can be written as a sum of tenths and hundredths. This relationship is key to composing and decomposing these numbers.

a10+b100=10a+b100\frac{a}{10} + \frac{b}{100} = \frac{10a + b}{100}

Examples

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Chapter 30: Tenths and Hundredths

  1. Lesson 1Current

    Lesson 1: Use meters to model the decomposition of one whole into hundredths. Represent and count hundredths.

    LearnPractice
  2. Lesson 2

    Lesson 2: Model the equivalence of tenths and hundredths using the area model and place value disks.

    LearnPractice
  3. Lesson 3

    Lesson 3: Use the area model and number line to represent mixed numbers with units of ones, tenths, and hundredths in fraction and decimal forms.

    LearnPractice
  4. Lesson 4

    Lesson 4: Model mixed numbers with units of hundreds, tens, ones, tenths, and hundredths in expanded form and on the place value chart.

    LearnPractice
  5. Lesson 5

    Lesson 5: Use understanding of fraction equivalence to investigate decimal numbers on the place value chart expressed in different units.

    LearnPractice

Lesson overview

Expand to review the lesson summary and core properties.

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Section 1

Represent One Hundredth as a Decimal

Property

The unit fraction one hundredth, 1100\frac{1}{100}, is equivalent to the decimal 0.010.01.

1100=0.01 \frac{1}{100} = 0.01

Examples

Section 2

Composing and Decomposing Numbers with Hundredths

Property

Numbers with hundredths can be written as a sum of tenths and hundredths. This relationship is key to composing and decomposing these numbers.

a10+b100=10a+b100\frac{a}{10} + \frac{b}{100} = \frac{10a + b}{100}

Examples

Book overview

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

Continue this chapter

Chapter 30: Tenths and Hundredths

  1. Lesson 1Current

    Lesson 1: Use meters to model the decomposition of one whole into hundredths. Represent and count hundredths.

    LearnPractice
  2. Lesson 2

    Lesson 2: Model the equivalence of tenths and hundredths using the area model and place value disks.

    LearnPractice
  3. Lesson 3

    Lesson 3: Use the area model and number line to represent mixed numbers with units of ones, tenths, and hundredths in fraction and decimal forms.

    LearnPractice
  4. Lesson 4

    Lesson 4: Model mixed numbers with units of hundreds, tens, ones, tenths, and hundredths in expanded form and on the place value chart.

    LearnPractice
  5. Lesson 5

    Lesson 5: Use understanding of fraction equivalence to investigate decimal numbers on the place value chart expressed in different units.

    LearnPractice