Skip to content
Auralith
Menu
Log inGet started

Year 6 · Maths · Four operations · Lesson 1

Long multiplication

Multiply numbers up to 4 digits by a 2-digit number using long multiplication, with estimation and word problems.

Whiteboard video lesson: Long multiplication

37-minute video lesson

Teaching, worked examples and 20 practice questions solved step by step.

Watch free for a month

What your child will learn

  • Set out long multiplication
  • Use a place-holder zero
  • Add partial products
  • Estimate to check
  • Solve multiplication word problems

The method

  1. Estimate the answer.
  2. Multiply by the ones digit.
  3. Put a 0, then multiply by the tens digit.
  4. Add the rows. Check with your estimate.

Key words: long multiplication, place holder, estimate, product, partial product.

Worked examples

The first three practice questions from the lesson, with every step.

Question 1

Work out 132 × 14.

  1. Step 1: Set it out in columns
  2. Step 2: Multiply by 4
  3. Step 3: Multiply by 10
  4. Step 4: Add the rows

Answer: 1,848

Question 2

Work out 215 × 23.

  1. Step 1: Set it out in columns
  2. Step 2: Multiply by 3
  3. Step 3: Multiply by 20
  4. Step 4: Add the rows

Answer: 4,945

Question 3

Work out 342 × 31.

  1. Step 1: Set it out in columns
  2. Step 2: Multiply by 1
  3. Step 3: Multiply by 30
  4. Step 4: Add the rows

Answer: 10,602