Learn on PengiEureka Math, Grade 4Chapter 1: Place Value of Multi-Digit Whole Numbers

Lesson 1: Interpret a multiplication equation as a comparison.

In this Grade 4 Eureka Math lesson from Chapter 1, students learn to interpret a multiplication equation as a comparison by exploring how each place value unit is 10 times as much as the unit below it. Using place value disks and charts, students build understanding of statements like "1 ten is 10 times as much as 1 one" and extend this reasoning through hundreds and thousands. The lesson connects multiplicative comparison language to the base-ten structure of multi-digit whole numbers.

Section 1

Bundling Place Value Units

Property

When you bundle 10 of a specific place value unit, you create 1 of the next larger place value unit.

10 ones=1 ten10 \text{ ones} = 1 \text{ ten}
10 tens=1 hundred10 \text{ tens} = 1 \text{ hundred}
10 hundreds=1 thousand10 \text{ hundreds} = 1 \text{ thousand}

Examples

Section 2

Modeling Multiplicative Comparisons on a Place Value Chart

Property

Multiplying a number of units by 10 results in the same number of the next larger place value unit. This can be represented as an equation: 10×n units=n (next larger units)10 \times n \text{ units} = n \text{ (next larger units)}.

Examples

Lesson overview

Expand to review the lesson summary and core properties.

Expand

Section 1

Bundling Place Value Units

Property

When you bundle 10 of a specific place value unit, you create 1 of the next larger place value unit.

10 ones=1 ten10 \text{ ones} = 1 \text{ ten}
10 tens=1 hundred10 \text{ tens} = 1 \text{ hundred}
10 hundreds=1 thousand10 \text{ hundreds} = 1 \text{ thousand}

Examples

Section 2

Modeling Multiplicative Comparisons on a Place Value Chart

Property

Multiplying a number of units by 10 results in the same number of the next larger place value unit. This can be represented as an equation: 10×n units=n (next larger units)10 \times n \text{ units} = n \text{ (next larger units)}.

Examples