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Multiplying multi-digit numbers

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5th Grade Math
8. CA.5.NBT.5
8.1 Multiplying multi-digit numbers

Multiplying Multi-Digit Numbers

Break big multiplication problems into simple place-value pieces using the area model and the standard algorithm, with worked examples.


What You'll Learn

Break each multi-digit factor into place value parts such as tens and ones before multiplying
Use an area model to multiply each part of one number by each part of the other and add the results
Apply the standard algorithm by multiplying by ones first, then by tens, shifting each partial product one place left
Add all partial products carefully, lining up place values, to find the final product
Check answers with an estimate, such as rounding factors, to see if the exact product is reasonable

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
Learning resources

Skills

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