Math Example--Arithmetic--Column Multiplication--Example 12

Topic

Arithmetic

Description

Problem: Find the product of 42 and 36. This is a two-digit by two-digit multiplication problem with regrouping. Each place is multiplied separately, and partial products are combined to find the solution.

The example illustrates the method of column multiplication. The caption explains the process step-by-step, emphasizing the sequential multiplication and any necessary regrouping.

In general, column multiplication is a foundational arithmetic skill that develops a student's ability to handle larger numbers systematically. Examples in this collection present varied scenarios, building confidence through exposure to different configurations of numbers.

Students benefit greatly from multiple worked-out examples, which help them understand the nuances of the process, such as managing carries in regrouping. This repetition fosters a deeper conceptual understanding.

Teacher's Script: Let's work through this example together. Notice how we multiply each digit of the number in the column setup. Focus on how regrouping is applied here when the product exceeds a single digit. This step-by-step approach ensures accuracy. Can you replicate this process for similar problems?

For a complete collection of math examples related to Arithmetic click on this link: Math Examples: Multiplication and Division Collection.