Multi-digit multiplication, step by step

Multi-digit multiplication takes the times-table facts a child already knows and organizes them into the standard column algorithm.

The question

158 × 33

158 33 4744740 5214
  1. 158 × 33, set out in columns. Split the 33 by place value and take one piece at a time.
  2. The 3 is in the ones, so it is just 3: 158 × 3 = 474.
  3. The 3 is in the tens, so it is worth 30 — not 3. That is why this row is 158 × 30 = 4740, and why it ends in 0.
  4. Now add the pieces: 474 + 4740 = 5214.

How it works.

  1. 01

    158 × 33, set out in columns. Split the 33 by place value and take one piece at a time.

  2. 02

    The 3 is in the ones, so it is just 3: 158 × 3 = 474.

  3. 03

    The 3 is in the tens, so it is worth 30 — not 3. That is why this row is 158 × 30 = 4740, and why it ends in 0.

  4. 04

    Now add the pieces: 474 + 4740 = 5214.