Practice Multi-Digit Multiplication
Master 4-digit by 1-digit and 2-digit by 2-digit multiplication using area models, partial products, and the standard algorithm.
In fourth grade, multiplication moves beyond basic facts into multi-digit work. This is the foundation for long division, fractions, decimals, and algebra. The standard algorithm for 2-digit by 2-digit multiplication is the last major multiplication algorithm students learn — after this, multiplication becomes a tool for other topics.
Our multiplication worksheets use area models and partial products to build understanding before moving to the standard algorithm. The fourth grade math hub offers more resources for a complete curriculum.
Build understanding with these proven approaches
Break numbers into expanded form and create a rectangle. For 23×14: (20+3)×(10+4) = 20×10=200, 20×4=80, 3×10=30, 3×4=12. Sum = 322.
Multiply each place value separately: 23×14 = (20×10)=200, (20×4)=80, (3×10)=30, (3×4)=12, then add: 200+80+30+12=322.
Multiply by ones, write result. Multiply by tens, add a zero placeholder, write result. Add both products. This is the goal for fluency.
3-digit and 4-digit by 1-digit multiplication. Perfect for building place value confidence.
2-digit by 2-digit multiplication with area models. Introduces multi-digit strategies.
2-digit by 2-digit using standard algorithm with word problems. For end-of-year mastery.
For some children, the gap isn't in practice — it's in the conceptual foundation that makes multi-digit multiplication make sense. If your child can't explain why the standard algorithm works or forgets to add place value holders, worksheets alone won't bridge that gap. Our Multiplication & Division Foundations course (grades 3–5) covers the full progression from arrays through multi-digit multiplication. You can also browse all available courses and planners on the resources page.
View Multiplication & Division Foundations — $57Everything you need to know about teaching fourth grade multiplication
By the end of fourth grade, students should multiply multi-digit numbers using the standard algorithm. This includes 4-digit by 1-digit multiplication and 2-digit by 2-digit multiplication. They should also understand area models and partial products as alternative strategies.
Start with area models to build understanding, then move to partial products, then the standard algorithm. For 23×14, show 20×10, 20×4, 3×10, 3×4. Once the concept is clear, teach the standard algorithm with the "multiply by the ones, then the tens" method.
The area model breaks numbers into expanded form and creates a rectangle. For 23×14, draw a rectangle split into 20+3 and 10+4. Calculate four smaller areas: 20×10=200, 20×4=80, 3×10=30, 3×4=12. Sum: 200+80+30+12=322.
The issue is usually place value, not fact fluency. Children often forget to add the zero when multiplying by tens. Explicitly teach: "When we multiply by the tens digit, we are really multiplying by 10, 20, 30, so we write a zero in the ones place first."
10-15 multi-digit problems per day is enough. Focus on accuracy first, then speed. Mix problem types: 3-digit by 1-digit, 4-digit by 1-digit, and 2-digit by 2-digit.
Mastery means your child can: 1) multiply 4-digit by 1-digit numbers accurately, 2) multiply 2-digit by 2-digit numbers using the standard algorithm, 3) explain why the algorithm works using place value language, 4) solve multiplication word problems, and 5) estimate products to check reasonableness.
Generate custom multiplication worksheets for your fourth grader. Choose difficulty, problem types, and download clean PDFs with answer keys.
Free • No registration required • 10 worksheets per day