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, $\frac{1}{100}$ , is equivalent to the decimal $0.01$ .

\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.

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

Examples

Lesson overview

Expand to review the lesson summary and core properties.

Expand

Section 1

Represent One Hundredth as a Decimal

Property

The unit fraction one hundredth, $\frac{1}{100}$ , is equivalent to the decimal $0.01$ .

\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.

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