In this Grade 4 Eureka Math lesson, students learn to multiply two-digit multiples of 10 by two-digit numbers using a place value chart, building on their understanding of unit form and the associative property. Students explore how expressions like (4 × 10) × 22 and 40 × 22 represent the same product, reinforcing place value concepts such as tens multiplied by ones yielding hundreds. The lesson connects area models from prior topics to the place value chart as a new strategy for solving two-digit by two-digit multiplication problems.
Section 1
Visualizing the Associative Property on a Place Value Chart
The associative property of multiplication allows us to regroup factors. When multiplying by a multiple of 10, we can change the order of operations to make the problem easier to model on a place value chart:
Section 2
Multiplying Using Unit Form
To multiply numbers in unit form, multiply the digits and then multiply the place value units.
Section 3
Multiply Using the Distributive Property
The distributive property of multiplication states that multiplying a number by a sum is the same as multiplying the number by each addend and then adding the products.
Expand to review the lesson summary and core properties.
Section 1
Visualizing the Associative Property on a Place Value Chart
The associative property of multiplication allows us to regroup factors. When multiplying by a multiple of 10, we can change the order of operations to make the problem easier to model on a place value chart:
Section 2
Multiplying Using Unit Form
To multiply numbers in unit form, multiply the digits and then multiply the place value units.
Section 3
Multiply Using the Distributive Property
The distributive property of multiplication states that multiplying a number by a sum is the same as multiplying the number by each addend and then adding the products.