Multiplication learning path

Two-Digit Multiplication: Combine Partial Products

A two-digit product can be built from familiar smaller products. Split one factor by place value, multiply each part, and keep the partial totals organized.

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The strategy

How it works

  1. Split one factor into tens and ones.

  2. Multiply the other factor by each part.

  3. Add the partial products and do a quick estimate.

See it in action

Worked examples

Example 124 × 13
  1. Split 13 into 10 + 3.
  2. 24 × 10 = 240; 24 × 3 = 72.
  3. 240 + 72 = 312.

Answer: 312

Example 232 × 12
  1. Split 12 into 10 + 2.
  2. 32 × 10 = 320; 32 × 2 = 64.
  3. 320 + 64 = 384.

Answer: 384

A quick heads-up

Common mistakes to avoid

  • Dropping a zero in the tens product; 24 × 10 is 240, not 24.
  • Adding the partial products before calculating them; keep each line separate.

Your turn

Check your understanding

Choose an answer to see instant feedback and a short explanation. You can take the quiz again any time.

Question 1 of 3

What is 15 × 12?

Keep the momentum

Try a few practice problems

Choose a comfortable range and work through a short round with the free mental math trainer.

Practice multiplication