Chapter 10.3

Multiplying multi-digit numbers


What You'll Learn

Apply the standard algorithm to multiply single-digit by multi-digit numbers
Use regrouping (carrying) when products exceed single digits in multiplication
Multiply two-digit numbers by arranging partial products and adding them together
Calculate products with numbers containing zeros by applying zero property correctly
Verify multiplication results by checking place value alignment and regrouping steps

What You'll Practice

1

Multiplying single-digit numbers by 2-digit, 3-digit, and 4-digit numbers

2

Solving 2-digit by 2-digit multiplication problems using partial products

3

Multiplying numbers containing zeros in various place values

4

Problems requiring regrouping across multiple place values

Why This Matters

Mastering multi-digit multiplication is essential for advanced math including algebra, geometry, and real-world applications like calculating costs, areas, and distances. The standard algorithm you learn here becomes the foundation for working with decimals, fractions, and solving complex equations efficiently.

This Unit Includes

13 Video lessons
Practice exercises

Skills

Standard Algorithm
Multiplication
Regrouping
Place Value
Partial Products
Multi-digit Operations
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