Practice Multi-Digit Multiplication in Math

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

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Quick Recap

Multiplying numbers with two or more digits using the standard algorithm, partial products, or the area (box) model.

Think of a rectangle with sides 23 and 47. You can break it into smaller rectangles: 20×4020 \times 40, 20×720 \times 7, 3×403 \times 40, and 3×73 \times 7, then add the pieces. That's partial products—the standard algorithm just organizes this neatly.

Showing a random 20 of 50 problems.

Example 1

easy
Compute 50×650 \times 6.

Example 2

medium
Compute 125×8125 \times 8.

Example 3

easy
Compute 11×1111 \times 11.

Example 4

easy
Compute 47×3647 \times 36.

Example 5

medium
Compute 58×2958 \times 29.

Example 6

easy
Compute 40×940 \times 9.

Example 7

medium
Compute 98×1298 \times 12.

Example 8

challenge
Without full multiplication, find the ones digit of 47×8347 \times 83.

Example 9

medium
Compute 304×7304 \times 7.

Example 10

hard
Compute 246×38246 \times 38.

Example 11

easy
Compute 25×425 \times 4.

Example 12

medium
Compute 83×5783 \times 57.

Example 13

hard
A factory produces 375375 widgets per day. How many widgets in 44 weeks (28 days)?

Example 14

medium
A theater has 38 rows with 24 seats each. How many seats total?

Example 15

challenge
Compute 123×45123 \times 45 using partial products, then verify by estimation.

Example 16

easy
Compute 23×423 \times 4.

Example 17

medium
Compute 46×1846 \times 18.

Example 18

challenge
A warehouse stacks boxes 18 per layer in 26 layers, across 4 identical pallets. How many boxes total?

Example 19

hard
Use the difference-of-squares trick to compute 98×10298 \times 102.

Example 20

challenge
Find the units digit of 123×456×789123 \times 456 \times 789.
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