Learn on PengiEureka Math, Grade 4Chapter 10: Multiplication by 10, 100, and 1,000

Lesson 1: Interpret and represent patterns when multiplying by 10, 100, and 1,000 in arrays and numerically.

In this Grade 4 Eureka Math lesson, students learn to identify and represent patterns when multiplying by 10, 100, and 1,000 using place value disks and place value charts. They explore how multiplying shifts digits one place to the left for each factor of 10, connecting repeated multiplication (such as 3 × 10 × 10) to single expressions like 3 × 100. The lesson also reinforces group counting by multiples of 10 and 100 to build fluency with place value relationships.

Section 1

Place Value Shifts when Multiplying by Powers of 10

Property

When multiplying a number by 1010, 100100, or 1,0001,000, every digit in the number shifts to the left on a place value chart. The number of places shifted corresponds to the number of zeros in the multiplier: one place for 1010, two for 100100, and three for 1,0001,000.

Examples

Lesson overview

Expand to review the lesson summary and core properties.

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Section 1

Place Value Shifts when Multiplying by Powers of 10

Property

When multiplying a number by 1010, 100100, or 1,0001,000, every digit in the number shifts to the left on a place value chart. The number of places shifted corresponds to the number of zeros in the multiplier: one place for 1010, two for 100100, and three for 1,0001,000.

Examples