Multi-digit multiplication worksheets
Aligned with Common Core 4.NBT.B.5
Printable fourth-grade multiplication worksheets and how-to teaching pages: multiplying by 10, 100 and 1,000, area models, partial products, the standard algorithm, estimating products, and multiplication word problems.
The worksheets
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How to Multiply by 10, 100 and 1,000
Worked rows from 7 × 2 = 14 up to 70 × 200 = 14,000 with the zeros in red, plus facts like 5 × 40 that already end in zero.
Multiply by 10, 100 and 1,000
Basic facts like 7 × 2 = 14 with products like 7 × 200 and 70 × 20 to fill in. More includes problems like 60 × 400.
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How to Use an Area Model
Area models for 3 × 246 and 34 × 26, with every box filled in and added up.
Area Model: by a 1-Digit Number
Area models for 2-, 3- and 4-digit numbers times a one-digit number, with each part of the rectangle to fill in.
Area Model: 2-Digit by 2-Digit
Two-digit by two-digit area models, like 66 × 15, with four parts to fill in and the product. Fewer uses smaller numbers.
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How to Use Partial Products
318 × 4 and 34 × 26 worked out with partial products, with a gray hint beside each line.
Partial Products
Vertical problems with a box for each partial product and a gray hint like 5 × 60. Fewer is 3-digit by 1-digit, Standard 2-digit by 2-digit, and More mixes 4-digit by 1-digit with 2-digit by 2-digit.
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How to Use the Standard Algorithm
347 × 6 with carrying and 34 × 26 on graph paper, each with an estimate to check.
Standard Algorithm
Multiplication on graph paper so the digits line up. Fewer is 3-digit by 1-digit, Standard 2-digit by 2-digit, and More mixes 4-digit by 1-digit with 2-digit by 2-digit.
Estimate, Then Multiply
Round to estimate each product, then solve it exactly on graph paper and decide if the answer is close.
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How to Solve Times As Many Problems
A sticker story with a bar model for 3 times as many as 24, plus how times as many is different from more than.
Multiplication Word Problems
Story problems about seats, pages, crates and more, including "times as many" comparisons, with a work space and an answer box.
Print the whole packet
One copy of every sheet above, in order. Tap + for more copies (up to 10).
For the parent or teacher
What it is
Fourth graders multiply numbers up to four digits by a one-digit number, and two-digit numbers by two-digit numbers, like 34 × 26. They learn to break numbers into place value parts with area models and partial products, then use the standard algorithm. Estimating first helps them check that an answer makes sense.
What comes next
Long division, which uses the same place value thinking in reverse.
How to teach it
- Start with multiplying by 10, 100 and 1,000 so the zero patterns feel easy.
- Use the area model to show why 34 × 26 is four smaller problems added together.
- Move to partial products, then the standard algorithm, once the parts make sense.
- Estimate before every problem, then compare. A big difference means it's time to check.
- Make up word problems from real life, like rows of seats or packs of cards.
Common mistakes
- Forgetting the 0 in the ones place when multiplying by the tens digit.
- Forgetting to add a carried digit, or adding it before multiplying.
- Lining up partial products in the wrong columns.
- Multiplying only the ones by the ones and the tens by the tens, like 34 × 26 = 6 hundreds and 24.