In this Grade 4 Eureka Math lesson from Chapter 11, students learn to multiply three- and four-digit numbers by a single-digit number using the standard algorithm. The lesson connects partial products to the standard algorithm through problems like 5 × 2,374 and 6 × 3,817, reinforcing place value understanding with unit language such as "6 times 7 ones is 42 ones." Students also apply the algorithm to real-world word problems involving multi-digit multiplication.
Section 1
From Partial Products to the Standard Algorithm
The standard algorithm for multiplication is a condensed method for finding the sum of partial products.
Each step in the standard algorithm combines multiplying a place value and adding any regrouped amount from the previous place value, effectively adding the partial products as you go.
Section 2
Understanding Multiplication in Word Problems
To solve a word problem using multiplication, identify the number of equal groups and the size of each group.
The total amount can be found using the equation:
Expand to review the lesson summary and core properties.
Section 1
From Partial Products to the Standard Algorithm
The standard algorithm for multiplication is a condensed method for finding the sum of partial products.
Each step in the standard algorithm combines multiplying a place value and adding any regrouped amount from the previous place value, effectively adding the partial products as you go.
Section 2
Understanding Multiplication in Word Problems
To solve a word problem using multiplication, identify the number of equal groups and the size of each group.
The total amount can be found using the equation: