Written multiplication

How to multiply two-digit numbers in columns

The written method records the distributive property in a compact layout. Multiplying 34 by 26 means finding 34 × 6 and 34 × 20, then adding those two partial products.

Grades 4–5 · worked example · 3 practice checks

01

Recognize the problem first

  • Align ones under ones and tens under tens before calculating.
  • Multiply by the bottom ones digit first, regrouping when needed.
  • The second partial product is tens, so its place value begins in the tens column.
02

Work through one complete example

Question

Calculate 34 × 26 using partial products.

  1. Ones row: 34 × 6 = 204.
  2. Tens row: 34 × 20 = 680.
  3. Add the aligned partial products: 204 + 680 = 884.

Answer34 × 26 = 884.

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03

Common mistakes to catch

  • Writing the 680 directly under 204 without aligning ones, tens, and hundreds.
  • Forgetting a regrouped amount during one of the single-digit multiplications.
  • Treating the 2 in 26 as 2 instead of 20.
04

Try three quick checks

01

23 × 14

Show answer322
02

47 × 32

Show answer1,504
03

68 × 25

Show answer1,700