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Multiplying with Digits Up to 999

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3rd Grade Math
7. 3.OA.C.7
7.1 Multiplying with Digits Up to 999

Multiplying with Digits up to 999

Learn how to multiply two- and three-digit numbers using place value, partial products, and the standard column algorithm through worked examples.


What You'll Learn

Break each factor into hundreds, tens, and ones before multiplying, such as writing 236 as \( 200 + 30 + 6 \)
Use an area model to multiply each part of one factor by each part of the other, then add the partial products
Apply the standard column algorithm, multiplying by the ones digit first and then the tens digit with a zero placeholder shift
Carry correctly when a partial product in any column is 10 or more
Check a three-digit by two-digit product like \( 236 \times 34 = 8024 \) by adding the partial products \( 944 + 7080 \)
Extend the same method to three-digit by three-digit multiplication by adding a third partial product row

What You'll Practice

1

Multiplying two-digit by two-digit numbers

2

Multiplying three-digit by two-digit numbers

3

Computing products with numbers up to 999

Why This Matters

Multiplying larger numbers is essential for real-world tasks like calculating costs, measuring areas, and solving everyday problems. This skill builds the foundation for advanced math topics including algebra, geometry, and working with decimals and fractions.

This Unit Includes

1 Video lesson
Practice exercises
Learning resources

Skills

Multiplication
Multi-Digit Computation
Place Value
Mental Math
Number Sense
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